Search a number
-
+
32133000301220 = 22571319391479247
BaseRepresentation
bin1110100111001100011000…
…00100011000101010100100
311012202212220001001221121102
413103212030010120222210
513202431341034114340
6152201410242135232
76524350462660430
oct723461404305244
9135685801057542
1032133000301220
11a26958aa67755
12372b710951518
1314c118a3367c0
147d13619899c0
153aacbe21d215
hex1d398c118aa4

32133000301220 has 96 divisors (see below), whose sum is σ = 83481766222848. Its totient is φ = 10116872773632.

The previous prime is 32133000301189. The next prime is 32133000301243. The reversal of 32133000301220 is 2210300033123.

It is a super-2 number, since 2×321330003012202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32133000301192 and 32133000301201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45388364 + ... + 46090883.

It is an arithmetic number, because the mean of its divisors is an integer number (869601731488).

Almost surely, 232133000301220 is an apocalyptic number.

It is an amenable number.

32133000301220 is an abundant number, since it is smaller than the sum of its proper divisors (51348765921628).

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

32133000301220 is a wasteful number, since it uses less digits than its factorization.

32133000301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91479469 (or 91479467 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32133000301220 its reverse (2210300033123), we get a palindrome (34343300334343).

The spelling of 32133000301220 in words is "thirty-two trillion, one hundred thirty-three billion, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 193 260 364 386 455 772 910 965 1351 1820 1930 2509 2702 3860 5018 5404 6755 10036 12545 13510 17563 25090 27020 35126 50180 70252 87815 175630 351260 91479247 182958494 365916988 457396235 640354729 914792470 1189230211 1280709458 1829584940 2378460422 2561418916 3201773645 4756920844 5946151055 6403547290 8324611477 11892302110 12807094580 16649222954 17655494671 23784604220 33298445908 35310989342 41623057385 70621978684 83246114770 88277473355 123588462697 166492229540 176554946710 229521430723 247176925394 353109893420 459042861446 494353850788 617942313485 918085722892 1147607153615 1235884626970 1606650015061 2295214307230 2471769253940 3213300030122 4590428614460 6426600060244 8033250075305 16066500150610 32133000301220