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213130103320233 = 33113735115524027
BaseRepresentation
bin110000011101011100111000…
…000110010110111010101001
31000221122001001100111001012000
4300131130320012112322221
5210413410422422221413
62033142341235441213
762615066434134561
oct6035347006267251
91027561040431160
10213130103320233
1161a00a730411a0
121baa2060456209
1391c010c355948
143a8b7a2b2bda1
15199900a698073
hexc1d738196ea9

213130103320233 has 64 divisors (see below), whose sum is σ = 353863046768640. Its totient is φ = 125642866564800.

The previous prime is 213130103320177. The next prime is 213130103320241. The reversal of 213130103320233 is 332023301031312.

213130103320233 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 0 + 103 + 320 + 233 = 666.

213130103320233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213130103320233 - 28 = 213130103319977 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 213130103320197 and 213130103320206.

It is not an unprimeable number, because it can be changed into a prime (213130103320933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35820366 + ... + 41344392.

It is an arithmetic number, because the mean of its divisors is an integer number (5529110105760).

Almost surely, 2213130103320233 is an apocalyptic number.

It is an amenable number.

213130103320233 is a deficient number, since it is larger than the sum of its proper divisors (140732943448407).

213130103320233 is a wasteful number, since it uses less digits than its factorization.

213130103320233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527595 (or 5527589 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213130103320233 its reverse (332023301031312), we get a palindrome (545153404351545).

The spelling of 213130103320233 in words is "two hundred thirteen trillion, one hundred thirty billion, one hundred three million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3511 3663 10533 10989 31599 38621 94797 115863 129907 347589 389721 1042767 1169163 1428977 3507489 4286931 5524027 12860793 16572081 38582379 49716243 60764297 149148729 182292891 204388999 546878673 613166997 1640636019 1839500991 2248278989 5518502973 6744836967 19394858797 20234510901 58184576391 60703532703 174553729173 213343446767 523661187519 640030340301 717609775489 1920091020903 2152829326467 5760273062709 6458487979401 7893707530379 19375463938203 23681122591137 71043367773411 213130103320233