Search a number
-
+
230100213213 = 34133159311887
BaseRepresentation
bin1101011001001100001…
…0101001110111011101
3210222221002010221120000
43112103002221313131
512232221123310323
6253412342044513
722424045353443
oct3262302516735
9728832127500
10230100213213
1189648631972
1238718119739
13189103a0b20
14b1cb974b93
155ebac95e43
hex35930a9ddd

230100213213 has 80 divisors (see below), whose sum is σ = 382788274176. Its totient is φ = 136789793280.

The previous prime is 230100213181. The next prime is 230100213251. The reversal of 230100213213 is 312312001032.

230100213213 is a `hidden beast` number, since 230 + 10 + 0 + 213 + 213 = 666.

It is not a de Polignac number, because 230100213213 - 25 = 230100213181 is a prime.

It is a super-2 number, since 2×2301002132132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230100213613) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19351356 + ... + 19363242.

Almost surely, 2230100213213 is an apocalyptic number.

It is an amenable number.

230100213213 is a deficient number, since it is larger than the sum of its proper divisors (152688060963).

230100213213 is a wasteful number, since it uses less digits than its factorization.

230100213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230100213213 its reverse (312312001032), we get a palindrome (542412214245).

The spelling of 230100213213 in words is "two hundred thirty billion, one hundred million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 31 39 81 93 117 279 351 403 593 837 1053 1209 1779 2511 3627 5337 7709 10881 11887 16011 18383 23127 32643 35661 48033 55149 69381 106983 154531 165447 208143 238979 320949 368497 463593 496341 624429 716937 962847 1105491 1390779 1489023 2150811 3316473 4172337 4790461 6452433 7048991 9949419 12517011 14371383 19357299 21146973 29848257 43114149 63440919 91636883 129342447 190322757 218518721 274910649 388027341 570968271 655556163 824731947 1966668489 2474195841 2840743373 5900005467 7422587523 8522230119 17700016401 25566690357 76700071071 230100213213