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10100100012 = 22337109208697
BaseRepresentation
bin10010110100000001…
…10100101110101100
3222001220010020112020
421122000310232230
5131141111200022
64350120110140
7505201301502
oct113200645654
928056106466
1010100100012
1143132746a2
121b5a605350
13c4c667652
146bb57c672
153e1a8235c
hex25a034bac

10100100012 has 48 divisors (see below), whose sum is σ = 24426013920. Its totient is φ = 3245640192.

The previous prime is 10100100007. The next prime is 10100100029. The reversal of 10100100012 is 21000100101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55953 + ... + 152744.

It is an arithmetic number, because the mean of its divisors is an integer number (508875290).

Almost surely, 210100100012 is an apocalyptic number.

10100100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100100012 is an abundant number, since it is smaller than the sum of its proper divisors (14325913908).

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

10100100012 is a wasteful number, since it uses less digits than its factorization.

10100100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208850 (or 208848 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100100012 its reverse (21000100101), we get a palindrome (31100200113).

The spelling of 10100100012 in words is "ten billion, one hundred million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 109 111 148 218 222 327 436 444 654 1308 4033 8066 12099 16132 24198 48396 208697 417394 626091 834788 1252182 2504364 7721789 15443578 22747973 23165367 30887156 45495946 46330734 68243919 90991892 92661468 136487838 272975676 841675001 1683350002 2525025003 3366700004 5050050006 10100100012