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31311200221020 = 2234529837647783
BaseRepresentation
bin1110001111010001101001…
…11101110111011101011100
311002212022200101020101120000
413013220310331313131130
513101000314224033040
6150332100010254300
76411105505361316
oct707506475673534
9132768611211500
1031311200221020
119a82007275055
1236183a1727390
131461830a94ab5
147a36822447b6
1539472213d130
hex1c7a34f7775c

31311200221020 has 120 divisors (see below), whose sum is σ = 98227838437344. Its totient is φ = 8349360660864.

The previous prime is 31311200220959. The next prime is 31311200221099. The reversal of 31311200221020 is 2012200211313.

31311200221020 is a `hidden beast` number, since 31 + 311 + 200 + 22 + 102 + 0 = 666.

It is a super-3 number, since 3×313112002210203 (a number of 41 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 = 31311200220984 and 31311200221002.

It is a congruent number.

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, 48012049 + ... + 48659831.

Almost surely, 231311200221020 is an apocalyptic number.

31311200221020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31311200221020 is an abundant number, since it is smaller than the sum of its proper divisors (66916638216324).

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

31311200221020 is a wasteful number, since it uses less digits than its factorization.

31311200221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677641 (or 677630 counting only the distinct ones).

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

Adding to 31311200221020 its reverse (2012200211313), we get a palindrome (33323400432333).

The spelling of 31311200221020 in words is "thirty-one trillion, three hundred eleven billion, two hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 29837 59674 89511 119348 149185 179022 268533 298370 358044 447555 537066 596740 647783 805599 895110 1074132 1295566 1342665 1611198 1790220 1943349 2416797 2591132 2685330 3222396 3238915 3886698 4027995 4833594 5370660 5830047 6477830 7773396 8055990 9667188 9716745 11660094 12083985 12955660 16111980 17490141 19433490 23320188 24167970 29150235 34980282 38866980 48335940 52470423 58300470 69960564 87450705 104940846 116600940 174901410 209881692 262352115 349802820 524704230 1049408460 19327901371 38655802742 57983704113 77311605484 96639506855 115967408226 173951112339 193279013710 231934816452 289918520565 347902224678 386558027420 521853337017 579837041130 695804449356 869755561695 1043706674034 1159674082260 1565560011051 1739511123390 2087413348068 2609266685085 3131120022102 3479022246780 5218533370170 6262240044204 7827800055255 10437066740340 15655600110510 31311200221020