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31133012020 = 225112192113209
BaseRepresentation
bin11100111111101011…
…000001000000110100
32222100201020212200021
4130333223001000310
51002230022341040
622145144254524
72151335143615
oct347753010064
988321225607
1031133012020
1112226856800
12604a471444
132c22033a06
141714adbc0c
15c2333124a
hex73fac1034

31133012020 has 144 divisors (see below), whose sum is σ = 76027694400. Its totient is φ = 10671091200.

The previous prime is 31133011993. The next prime is 31133012021. The reversal of 31133012020 is 2021033113.

It is a junction number, because it is equal to n+sod(n) for n = 31133011985 and 31133012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133012021) by changing a digit.

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, 9700176 + ... + 9703384.

It is an arithmetic number, because the mean of its divisors is an integer number (527970100).

Almost surely, 231133012020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013847200).

31133012020 is an abundant number, since it is smaller than the sum of its proper divisors (44894682380).

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

31133012020 is a wasteful number, since it uses less digits than its factorization.

31133012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31133012020 its reverse (2021033113), we get a palindrome (33154045133).

The spelling of 31133012020 in words is "thirty-one billion, one hundred thirty-three million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 211 220 242 380 418 422 484 605 836 844 1045 1055 1210 2090 2110 2299 2321 2420 3209 4009 4180 4220 4598 4642 6418 8018 9196 9284 11495 11605 12836 16036 16045 20045 22990 23210 25531 32090 35299 40090 44099 45980 46420 51062 60971 64180 70598 80180 88198 102124 121942 127655 141196 176396 176495 220495 243884 255310 304855 352990 388289 440990 485089 510620 609710 670681 677099 705980 776578 881980 970178 1219420 1341362 1354198 1553156 1940356 1941445 2425445 2682724 2708396 3353405 3385495 3882890 4850890 6706810 6770990 7377491 7448089 7765780 9701780 12864881 13413620 13541980 14754982 14896178 25729762 29509964 29792356 36887455 37240445 51459524 64324405 73774910 74480890 81928979 128648810 141513691 147549820 148961780 163857958 257297620 283027382 327715916 409644895 566054764 707568455 819289790 1415136910 1556650601 1638579580 2830273820 3113301202 6226602404 7783253005 15566506010 31133012020