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102244112432001 = 33112324077140053
BaseRepresentation
bin10111001111110110010000…
…000000000111101110000001
3111102000102220222202210102000
4113033312100000013232001
5101400131420240311001
61001242144040214213
730351615264112641
oct2717662000075601
9442012828683360
10102244112432001
112a63a536a73231
12b57371646a369
134508769a77747
141b368da1b0521
15bc490d78ba86
hex5cfd90007b81

102244112432001 has 32 divisors (see below), whose sum is σ = 151615020731520. Its totient is φ = 68098729862592.

The previous prime is 102244112431999. The next prime is 102244112432027. The reversal of 102244112432001 is 100234211442201.

102244112432001 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 411 + 2 + 43 + 200 + 1 = 666.

It is not a de Polignac number, because 102244112432001 - 21 = 102244112431999 is a prime.

It is a super-2 number, since 2×1022441124320012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102244112432041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729968691 + ... + 730108743.

It is an arithmetic number, because the mean of its divisors is an integer number (4737969397860).

Almost surely, 2102244112432001 is an apocalyptic number.

It is an amenable number.

102244112432001 is a deficient number, since it is larger than the sum of its proper divisors (49370908299519).

102244112432001 is a wasteful number, since it uses less digits than its factorization.

102244112432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165262 (or 165256 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102244112432001 its reverse (100234211442201), we get a palindrome (202478323874202).

The spelling of 102244112432001 in words is "one hundred two trillion, two hundred forty-four billion, one hundred twelve million, four hundred thirty-two thousand, one".

Divisors: 1 3 9 27 1123 3369 10107 24077 30321 72231 140053 216693 420159 650079 1260477 3781431 27038471 81115413 157279519 243346239 471838557 730038717 1415515671 3372056081 4246547013 10116168243 30348504729 91045514187 3786818978963 11360456936889 34081370810667 102244112432001