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31214424120 = 23351143549937
BaseRepresentation
bin11101000100100001…
…100101000000111000
32222120101110001002020
4131010201211000320
51002411343032440
622201213234440
72153344140645
oct350441450070
988511401066
1031214424120
1112268801930
126071792a20
132c35b69a59
141721850dcc
15c2a5633d0
hex744865038

31214424120 has 128 divisors (see below), whose sum is σ = 104532215040. Its totient is φ = 7391139840.

The previous prime is 31214424107. The next prime is 31214424121. The reversal of 31214424120 is 2142441213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214424121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218209 + ... + 331728.

It is an arithmetic number, because the mean of its divisors is an integer number (816657930).

Almost surely, 231214424120 is an apocalyptic number.

31214424120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31214424120 is an abundant number, since it is smaller than the sum of its proper divisors (73317790920).

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

31214424120 is a wasteful number, since it uses less digits than its factorization.

31214424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550005 (or 550001 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31214424120 its reverse (2142441213), we get a palindrome (33356865333).

The spelling of 31214424120 in words is "thirty-one billion, two hundred fourteen million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 549937 1099874 1649811 2199748 2749685 3299622 4399496 5499370 6049307 6599244 8249055 10998740 12098614 13198488 16498110 18147921 21997480 23647291 24197228 30246535 32996220 36295842 47294582 48394456 60493070 65992440 70941873 72591684 90739605 94589164 118236455 120986140 141883746 145183368 181479210 189178328 236472910 241972280 260120201 283767492 354709365 362958420 472945820 520240402 567534984 709418730 725916840 780360603 945891640 1040480804 1300601005 1418837460 1560721206 2080961608 2601202010 2837674920 3121442412 3901803015 5202404020 6242884824 7803606030 10404808040 15607212060 31214424120