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1001100111102 = 2327135113119533
BaseRepresentation
bin11101001000101100011…
…01110110110011111110
310112201000101110212012200
432210112031312303332
5112400223112023402
62043522105412330
7132220123354020
oct16442615666376
93481011425180
101001100111102
11356622a06723
1214202a49a0a6
1373532187c60
143664c5b4010
151b09312021c
hexe916376cfe

1001100111102 has 96 divisors (see below), whose sum is σ = 2670144754368. Its totient is φ = 263972556288.

The previous prime is 1001100111079. The next prime is 1001100111107. The reversal of 1001100111102 is 2011110011001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100111107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8315328 + ... + 8434860.

It is an arithmetic number, because the mean of its divisors is an integer number (27814007858).

Almost surely, 21001100111102 is an apocalyptic number.

1001100111102 is an abundant number, since it is smaller than the sum of its proper divisors (1669044643266).

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

1001100111102 is a wasteful number, since it uses less digits than its factorization.

1001100111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124674 (or 124671 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001100111102 its reverse (2011110011001), we get a palindrome (3012210122103).

The spelling of 1001100111102 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 5113 10226 15339 30678 35791 46017 66469 71582 92034 107373 119533 132938 199407 214746 239066 322119 358599 398814 465283 598221 644238 717198 836731 930566 1075797 1196442 1395849 1553929 1673462 2151594 2510193 2791698 3107858 4187547 4661787 5020386 7530579 8375094 9323574 10877503 13985361 15061158 21755006 27970722 32632509 65265018 97897527 195795054 611172229 1222344458 1833516687 3667033374 4278205603 5500550061 7945238977 8556411206 11001100122 12834616809 15890477954 23835716931 25669233618 38503850427 47671433862 55616672839 71507150793 77007700854 111233345678 143014301586 166850018517 333700037034 500550055551 1001100111102