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131001142110144 = 2634315867386399
BaseRepresentation
bin11101110010010100010100…
…100010100110011111000000
3122011211120211211111220211120
4131302110110202212133000
5114132310314340011034
61142341032135512240
736410343265220625
oct3562242442463700
9564746754456746
10131001142110144
11388172aa58a3a9
1212838a95528680
13581347c356837
14244c6bc18634c
151022991212c49
hex7725148a67c0

131001142110144 has 56 divisors (see below), whose sum is σ = 354667820812800. Its totient is φ = 42651534637824.

The previous prime is 131001142110133. The next prime is 131001142110239. The reversal of 131001142110144 is 441011241100131.

It is a happy number.

It is a super-2 number, since 2×1310011421101442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7933684944 + ... + 7933701455.

Almost surely, 2131001142110144 is an apocalyptic number.

It is an amenable number.

131001142110144 is an abundant number, since it is smaller than the sum of its proper divisors (223666678702656).

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

131001142110144 is a wasteful number, since it uses less digits than its factorization.

131001142110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15867386457 (or 15867386447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131001142110144 its reverse (441011241100131), we get a palindrome (572012383210275).

The spelling of 131001142110144 in words is "one hundred thirty-one trillion, one billion, one hundred forty-two million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 15867386399 31734772798 47602159197 63469545596 95204318394 126939091192 190408636788 253878182384 380817273576 507756364768 682297615157 761634547152 1015512729536 1364595230314 1523269094304 2046892845471 2729190460628 3046538188608 4093785690942 5458380921256 8187571381884 10916761842512 16375142763768 21833523685024 32750285527536 43667047370048 65500571055072 131001142110144