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3231312212133 = 3317431392574583
BaseRepresentation
bin101111000001011001001…
…101110111000010100101
3102102220120201000010222000
4233001121031313002211
5410420211411242013
610512235550555513
7452311633422225
oct57013115670245
912386521003860
103231312212133
11103643455a345
124422bbb08b99
131a5933036845
14b2579802085
15590c1ae5973
hex2f0593770a5

3231312212133 has 128 divisors (see below), whose sum is σ = 5245386854400. Its totient is φ = 1958014550016.

The previous prime is 3231312212071. The next prime is 3231312212159. The reversal of 3231312212133 is 3312122131323.

3231312212133 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 312 + 212 + 133 = 666.

3231312212133 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 3231312212133 - 212 = 3231312208037 is a prime.

It is a super-2 number, since 2×32313122121332 (a number of 26 digits) contains 22 as substring.

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 = 3231312212097 and 3231312212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231312212173) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 705062560 + ... + 705067142.

It is an arithmetic number, because the mean of its divisors is an integer number (40979584800).

Almost surely, 23231312212133 is an apocalyptic number.

It is an amenable number.

3231312212133 is a deficient number, since it is larger than the sum of its proper divisors (2014074642267).

3231312212133 is a wasteful number, since it uses less digits than its factorization.

3231312212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5042 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3231312212133 its reverse (3312122131323), we get a palindrome (6543434343456).

The spelling of 3231312212133 in words is "three trillion, two hundred thirty-one billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 43 51 129 139 153 257 387 417 459 731 771 1161 1251 2193 2313 2363 3753 4369 4583 5977 6579 6939 7089 11051 13107 13749 17931 19737 21267 33153 35723 39321 41247 53793 63801 77911 99459 101609 107169 117963 123741 161379 187867 197069 233733 298377 304827 321507 563601 591207 607291 637037 701199 914481 964521 1177831 1536089 1690803 1773621 1821873 1911111 2103597 2743443 3350173 3533493 4608267 5072409 5320863 5465619 5733333 10050519 10600479 10829629 13824801 16396857 17199999 20023127 26113513 27392591 30151557 31801437 32488887 41474403 50646733 60069381 78340539 82177773 90454671 97466661 151940199 163718509 180208143 235021617 246533319 292399983 455820597 465674047 491155527 540624429 705064851 739599957 860994461 1367461791 1397022141 1473466581 2582983383 2783214653 4191066423 4420399743 7039895887 7748950149 8349643959 12573199269 21119687661 23246850447 25048931877 63359062983 75146795631 119678230079 190077188949 359034690237 1077104070711 3231312212133