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31122113220 = 2235511582157
BaseRepresentation
bin11100111111000001…
…011100001011000100
32222022221202011100000
4130333001130023010
51002214230110340
622144114521300
72151143411652
oct347701341304
988287664300
1031122113220
1112220692330
126046896230
132c1c9b9013
1417134a1dd2
15c223cbd30
hex73f05c2c4

31122113220 has 144 divisors (see below), whose sum is σ = 106800378048. Its totient is φ = 7544741760.

The previous prime is 31122113213. The next prime is 31122113261. The reversal of 31122113220 is 2231122113.

31122113220 is a `hidden beast` number, since 311 + 22 + 11 + 322 + 0 = 666.

It is a super-3 number, since 3×311221132203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31122113193 and 31122113202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237619 + ... + 344538.

It is an arithmetic number, because the mean of its divisors is an integer number (741669292).

Almost surely, 231122113220 is an apocalyptic number.

31122113220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31122113220 is an abundant number, since it is smaller than the sum of its proper divisors (75678264828).

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

31122113220 is a wasteful number, since it uses less digits than its factorization.

31122113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582192 (or 582178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31122113220 its reverse (2231122113), we get a palindrome (33353235333).

The spelling of 31122113220 in words is "thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 582157 1164314 1746471 2328628 2910785 3492942 5239413 5821570 6403727 6985884 8732355 10478826 11643140 12807454 15718239 17464710 19211181 20957652 25614908 26197065 31436478 32018635 34929420 38422362 47154717 52394130 57633543 62872956 64037270 76844724 78591195 94309434 96055905 104788260 115267086 128074540 141464151 157182390 172900629 188618868 192111810 230534172 235773585 282928302 288167715 314364780 345801258 384223620 471547170 518701887 565856604 576335430 691602516 707320755 864503145 943094340 1037403774 1152670860 1414641510 1556105661 1729006290 2074807548 2593509435 2829283020 3112211322 3458012580 5187018870 6224422644 7780528305 10374037740 15561056610 31122113220