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31102121220 = 22352324720849
BaseRepresentation
bin11100111101110101…
…001011010100000100
32222021120010110110120
4130331311023110010
51002144120334340
622142122221540
72150511445152
oct347565132404
988246113416
1031102121220
1112210378015
1260400548b0
132c18809431
14171097a3d2
15c2077d4d0
hex73dd4b504

31102121220 has 144 divisors (see below), whose sum is σ = 92978323200. Its totient is φ = 7764128768.

The previous prime is 31102121213. The next prime is 31102121251. The reversal of 31102121220 is 2212120113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31102121220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481356 + ... + 1502204.

It is an arithmetic number, because the mean of its divisors is an integer number (645682800).

Almost surely, 231102121220 is an apocalyptic number.

31102121220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31102121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46489161600).

31102121220 is an abundant number, since it is smaller than the sum of its proper divisors (61876201980).

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

31102121220 is a wasteful number, since it uses less digits than its factorization.

31102121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20954 (or 20929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31102121220 its reverse (2212120113), we get a palindrome (33314241333).

The spelling of 31102121220 in words is "thirty-one billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 529 564 690 705 940 1058 1081 1380 1410 1587 2116 2162 2645 2820 3174 3243 4324 5290 5405 6348 6486 7935 10580 10810 12972 15870 16215 20849 21620 24863 31740 32430 41698 49726 62547 64860 74589 83396 99452 104245 124315 125094 149178 208490 248630 250188 298356 312735 372945 416980 479527 497260 625470 745890 959054 979903 1250940 1438581 1491780 1918108 1959806 2397635 2877162 2939709 3919612 4795270 4899515 5754324 5879418 7192905 9590540 9799030 11029121 11758836 14385810 14698545 19598060 22058242 22537769 28771620 29397090 33087363 44116484 45075538 55145605 58794180 66174726 67613307 90151076 110291210 112688845 132349452 135226614 165436815 220582420 225377690 270453228 330873630 338066535 450755380 518368687 661747260 676133070 1036737374 1352266140 1555106061 2073474748 2591843435 3110212122 5183686870 6220424244 7775530305 10367373740 15551060610 31102121220