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101010001008 = 2437242946429
BaseRepresentation
bin101111000010010101…
…0100100110001110000
3100122201120010201011110
41132010222210301300
53123332030013013
6114223042513320
710204056561600
oct1360452446160
9318646121143
10101010001008
113992456a884
12176b0065840
1396a9b3ba87
144c63252c00
152962c442c3
hex1784aa4c70

101010001008 has 60 divisors (see below), whose sum is σ = 303545367240. Its totient is φ = 28859999616.

The previous prime is 101010000997. The next prime is 101010001009. The reversal of 101010001008 is 800100010101.

It is a happy number.

It is a super-2 number, since 2×1010100010082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101010000984 and 101010001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010001009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21470863 + ... + 21475566.

It is an arithmetic number, because the mean of its divisors is an integer number (5059089454).

Almost surely, 2101010001008 is an apocalyptic number.

It is an amenable number.

101010001008 is an abundant number, since it is smaller than the sum of its proper divisors (202535366232).

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

101010001008 is a wasteful number, since it uses less digits than its factorization.

101010001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42946454 (or 42946441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101010001008 its reverse (800100010101), we get a palindrome (901110011109).

The spelling of 101010001008 in words is "one hundred one billion, ten million, one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 42946429 85892858 128839287 171785716 257678574 300625003 343571432 515357148 601250006 687142864 901875009 1030714296 1202500012 1803750018 2061428592 2104375021 2405000024 3607500036 4208750042 4810000048 6313125063 7215000072 8417500084 12626250126 14430000144 16835000168 25252500252 33670000336 50505000504 101010001008