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9901111110102 = 2321928521178819
BaseRepresentation
bin1001000000010100100000…
…1101011110100111010110
31022001112111110100011002200
42100011020031132213112
52244204433421010402
633020301352545330
72041221522553662
oct220051015364726
938045443304080
109901111110102
113178046111433
12113aa9a0b2246
1356a8948b96a4
1426330589d8a2
1512283d53621c
hex9014835e9d6

9901111110102 has 72 divisors (see below), whose sum is σ = 22643690130360. Its totient is φ = 3126282246720.

The previous prime is 9901111110091. The next prime is 9901111110179. The reversal of 9901111110102 is 2010111111099.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55280049 + ... + 55458867.

It is an arithmetic number, because the mean of its divisors is an integer number (314495696255).

Almost surely, 29901111110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9901111110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321845065180).

9901111110102 is an abundant number, since it is smaller than the sum of its proper divisors (12742579020258).

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

9901111110102 is a wasteful number, since it uses less digits than its factorization.

9901111110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187386 (or 187364 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 27.

The spelling of 9901111110102 in words is "nine trillion, nine hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 8521 17042 25563 51126 76689 153378 161899 178819 323798 357638 485697 536457 971394 1072914 1457091 1609371 2914182 3076081 3218742 3397561 6152162 6795122 9228243 10192683 18456486 20385366 27684729 30578049 55369458 61156098 64553659 129107318 193660977 387321954 580982931 1161965862 1523716699 3047433398 4571150097 9142300194 13713450291 27426900582 28950617281 57901234562 86851851843 173703703686 260555555529 521111111058 550061728339 1100123456678 1650185185017 3300370370034 4950555555051 9901111110102