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1100012010192 = 24327739882241
BaseRepresentation
bin10000000000011101110…
…100110011101011010000
310220011022201122221121200
4100000131310303223100
5121010311033311232
62201201042551200
7142321215545454
oct20003564635320
93804281587550
101100012010192
11394570114477
12159233968500
137c966421ab4
143b352d12664
151d931a7477c
hex1001dd33ad0

1100012010192 has 60 divisors (see below), whose sum is σ = 3082488689124. Its totient is φ = 366196285440.

The previous prime is 1100012010187. The next prime is 1100012010193. The reversal of 1100012010192 is 2910102100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 498667594896 + 601344415296 = 706164^2 + 775464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012010193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4829809 + ... + 5052432.

Almost surely, 21100012010192 is an apocalyptic number.

1100012010192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100012010192 is an abundant number, since it is smaller than the sum of its proper divisors (1982476678932).

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

1100012010192 is a wasteful number, since it uses less digits than its factorization.

1100012010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883028 (or 9883019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1100012010192 in words is "one trillion, one hundred billion, twelve million, ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 773 1546 2319 3092 4638 6184 6957 9276 12368 13914 18552 27828 37104 55656 111312 9882241 19764482 29646723 39528964 59293446 79057928 88940169 118586892 158115856 177880338 237173784 355760676 474347568 711521352 1423042704 7638972293 15277944586 22916916879 30555889172 45833833758 61111778344 68750750637 91667667516 122223556688 137501501274 183335335032 275003002548 366670670064 550006005096 1100012010192