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100001101001010 = 235111679091199601
BaseRepresentation
bin10110101111001101010010…
…000110100011000100110010
3111010002000022200001011201220
4112233031102012203010302
5101101404223324013020
6552403512133005510
730030561335404566
oct2657152206430462
9433060280034656
10100001101001010
1129955257545570
12b270a72483896
1343a50a9287431
141a9a1171316a6
15b863d12a2240
hex5af3521a3132

100001101001010 has 128 divisors (see below), whose sum is σ = 263419147450368. Its totient is φ = 24094753920000.

The previous prime is 100001101000979. The next prime is 100001101001017. The reversal of 100001101001010 is 10100101100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100001101001010.

It is not an unprimeable number, because it can be changed into a prime (100001101001017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500905210 + ... + 501104810.

It is an arithmetic number, because the mean of its divisors is an integer number (2057962089456).

Almost surely, 2100001101001010 is an apocalyptic number.

100001101001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001101001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131709573725184).

100001101001010 is an abundant number, since it is smaller than the sum of its proper divisors (163418046449358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001101001010 is a wasteful number, since it uses less digits than its factorization.

100001101001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208880.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001101001010 its reverse (10100101100001), we get a palindrome (110101202101011).

The spelling of 100001101001010 in words is "one hundred trillion, one billion, one hundred one million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 167 330 334 501 835 1002 1670 1837 2505 3674 5010 5511 9091 9185 11022 18182 18370 27273 27555 45455 54546 55110 90910 100001 136365 199601 200002 272730 300003 399202 500005 598803 600006 998005 1000010 1197606 1500015 1518197 1996010 2195611 2994015 3000030 3036394 4391222 4554591 5988030 6586833 7590985 9109182 10978055 13173666 15181970 16700167 21956110 22772955 32934165 33333367 33400334 45545910 50100501 65868330 66666734 83500835 100000101 100201002 166666835 167001670 200000202 250502505 333333670 366667037 500000505 501005010 733334074 1000001010 1100001111 1814572691 1833335185 2200002222 3629145382 3666670370 5443718073 5500005555 9072863455 10887436146 11000011110 18145726910 19960299601 27218590365 39920599202 54437180730 59880898803 99801498005 119761797606 199602996010 299404494015 303033639397 598808988030 606067278794 909100918191 1515168196985 1818201836382 3030336393970 3333370033367 4545504590955 6666740066734 9091009181910 10000110100101 16666850166835 20000220200202 33333700333670 50000550500505 100001101001010