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31220034120 = 2334511875983
BaseRepresentation
bin11101000100110110…
…111110101001001000
32222120210000001120000
4131010312332221020
51002414312042440
622201533403000
72153442624432
oct350466765110
988523001500
1031220034120
11122709937a0
126073639460
132c37082392
1417224b1652
15c2acc0730
hex744dbea48

31220034120 has 160 divisors (see below), whose sum is σ = 114473589120. Its totient is φ = 7568484480.

The previous prime is 31220034107. The next prime is 31220034133. The reversal of 31220034120 is 2143002213.

31220034120 is a `hidden beast` number, since 31 + 220 + 0 + 3 + 412 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31220034107) and next prime (31220034133).

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 = 31220034093 and 31220034102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402352 + ... + 473631.

It is an arithmetic number, because the mean of its divisors is an integer number (715459932).

Almost surely, 231220034120 is an apocalyptic number.

31220034120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220034120 is an abundant number, since it is smaller than the sum of its proper divisors (83253555000).

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

31220034120 is a wasteful number, since it uses less digits than its factorization.

31220034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876017 (or 876004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31220034120 its reverse (2143002213), we get a palindrome (33363036333).

The spelling of 31220034120 in words is "thirty-one billion, two hundred twenty million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 875983 1751966 2627949 3503932 4379915 5255898 7007864 7883847 8759830 9635813 10511796 13139745 15767694 17519660 19271626 21023592 23651541 26279490 28907439 31535388 35039320 38543252 39419235 47303082 48179065 52558980 57814878 63070776 70954623 77086504 78838470 86722317 94606164 96358130 105117960 115629756 118257705 141909246 144537195 157676940 173444634 189212328 192716260 231259512 236515410 260166951 283818492 289074390 315353880 346889268 354773115 385432520 433611585 473030820 520333902 567636984 578148780 693778536 709546230 780500853 867223170 946061640 1040667804 1156297560 1300834755 1419092460 1561001706 1734446340 2081335608 2601669510 2838184920 3122003412 3468892680 3902504265 5203339020 6244006824 7805008530 10406678040 15610017060 31220034120