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131001312535332 = 22312795390198181
BaseRepresentation
bin11101110010010100011110…
…101100101110001100100100
3122011211121021201012102020120
4131302110132230232030210
5114132311142002112312
61142341101104401540
736410350434630231
oct3562243654561444
9564747251172216
10131001312535332
1138817387802368
1212838b226162b0
1358134a8757545
14244c6d6a6a788
1510229a117928c
hex77251eb2e324

131001312535332 has 48 divisors (see below), whose sum is σ = 308399851210752. Its totient is φ = 43277808349440.

The previous prime is 131001312535277. The next prime is 131001312535361. The reversal of 131001312535332 is 233535213100131.

131001312535332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310013125353322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001312535293 and 131001312535302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43646719 + ... + 46551462.

It is an arithmetic number, because the mean of its divisors is an integer number (6424996900224).

Almost surely, 2131001312535332 is an apocalyptic number.

131001312535332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131001312535332 is an abundant number, since it is smaller than the sum of its proper divisors (177398538675420).

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

131001312535332 is a wasteful number, since it uses less digits than its factorization.

131001312535332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90199268 (or 90199266 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 131001312535332 its reverse (233535213100131), we get a palindrome (364536525635463).

The spelling of 131001312535332 in words is "one hundred thirty-one trillion, one billion, three hundred twelve million, five hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 953 1524 1906 2859 3812 5718 11436 121031 242062 363093 484124 726186 1452372 90198181 180396362 270594543 360792724 541189086 1082378172 11455168987 22910337974 34365506961 45820675948 68731013922 85958866493 137462027844 171917732986 257876599479 343835465972 515753198958 1031506397916 10916776044611 21833552089222 32750328133833 43667104178444 65500656267666 131001312535332