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100111022010 = 23351033599821
BaseRepresentation
bin101110100111100010…
…1001111011110111010
3100120101220112211211000
41131033011033132322
53120011410201020
6113553530345430
710142562434556
oct1351705173672
9316356484730
10100111022010
113950307562a
121749ab8b276
13959581203c
144bb9ac0866
15290dd6a090
hex174f14f7ba

100111022010 has 64 divisors (see below), whose sum is σ = 269554671360. Its totient is φ = 26437078080.

The previous prime is 100111022009. The next prime is 100111022027. The reversal of 100111022010 is 10220111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111021983 and 100111022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772101 + ... + 1827720.

It is an arithmetic number, because the mean of its divisors is an integer number (4211791740).

Almost surely, 2100111022010 is an apocalyptic number.

100111022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111022010 is an abundant number, since it is smaller than the sum of its proper divisors (169443649350).

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

100111022010 is a wasteful number, since it uses less digits than its factorization.

100111022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599940 (or 3599934 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111022010 its reverse (10220111001), we get a palindrome (110331133011).

The spelling of 100111022010 in words is "one hundred billion, one hundred eleven million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 9270 13905 27810 3599821 7199642 10799463 17999105 21598926 32398389 35998210 53997315 64796778 97195167 107994630 161991945 194390334 323983890 370781563 485975835 741563126 971951670 1112344689 1853907815 2224689378 3337034067 3707815630 5561723445 6674068134 10011102201 11123446890 16685170335 20022204402 33370340670 50055511005 100111022010