Search a number
-
+
131333133113010 = 23259533211530709
BaseRepresentation
bin11101110111001001100000…
…101111110001011010110010
3122020000022202212011021102200
4131313021200233301122302
5114203230224034104020
61143153335231124030
736443335320202233
oct3567114057613262
9566008685137380
10131333133113010
1138935083881644
12128912a8673616
135838879b9462a
1424607b3d2908a
15102b4221d2590
hex777260bf16b2

131333133113010 has 48 divisors (see below), whose sum is σ = 341466727357080. Its totient is φ = 35022109213440.

The previous prime is 131333133112997. The next prime is 131333133113029. The reversal of 131333133113010 is 10311331333131.

131333133113010 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 313 + 311 + 30 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93374090802729 + 37959042310281 = 9663027^2 + 6161091^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85033536 + ... + 86564244.

Almost surely, 2131333133113010 is an apocalyptic number.

131333133113010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131333133113010 is an abundant number, since it is smaller than the sum of its proper divisors (210133594244070).

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

131333133113010 is a wasteful number, since it uses less digits than its factorization.

131333133113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484043 (or 2484040 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 131333133113010 its reverse (10311331333131), we get a palindrome (141644464446141).

The spelling of 131333133113010 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 953321 1530709 1906642 2859963 3061418 4592127 4766605 5719926 7653545 8579889 9184254 9533210 13776381 14299815 15307090 17159778 22960635 27552762 28599630 42899445 45921270 68881905 85798890 137763810 1459257034589 2918514069178 4377771103767 7296285172945 8755542207534 13133313311301 14592570345890 21888855518835 26266626622602 43777711037670 65666566556505 131333133113010