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21100110102 = 2323783419911
BaseRepresentation
bin10011101001101010…
…100010000100010110
32000110111120122121100
4103221222202010112
5321203112010402
613405424330530
71344610655661
oct235152420426
960414518540
1021100110102
118a4850a025
12410a473a46
131cb3596766
1410424526d8
1583762471c
hex4e9aa2116

21100110102 has 96 divisors (see below), whose sum is σ = 47683883520. Its totient is φ = 6737290560.

The previous prime is 21100110091. The next prime is 21100110107. The reversal of 21100110102 is 20101100112.

It is a happy number.

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 (21100110107) 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, 23161027 + ... + 23161937.

It is an arithmetic number, because the mean of its divisors is an integer number (496707120).

Almost surely, 221100110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

21100110102 is an abundant number, since it is smaller than the sum of its proper divisors (26583773418).

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

21100110102 is a wasteful number, since it uses less digits than its factorization.

21100110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1455 counting only the distinct ones).

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

Adding to 21100110102 its reverse (20101100112), we get a palindrome (41201210214).

The spelling of 21100110102 in words is "twenty-one billion, one hundred million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 333 419 498 666 747 838 911 1257 1494 1822 2514 2733 3071 3771 5466 6142 7542 8199 9213 15503 16398 18426 27639 31006 33707 34777 46509 55278 67414 69554 75613 93018 101121 104331 139527 151226 202242 208662 226839 279054 303363 312993 381709 453678 606726 625986 680517 763418 1145127 1286749 1361034 2290254 2573498 2797681 3435381 3860247 5595362 6870762 7720494 8393043 11580741 14123233 16786086 23161482 25179129 28246466 31681847 42369699 50358258 63363694 84739398 95045541 127109097 190091082 254218194 285136623 570273246 1172228339 2344456678 3516685017 7033370034 10550055051 21100110102