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31312331121000 = 2335343242731249
BaseRepresentation
bin1110001111010011110000…
…10111111010000101101000
311002212102121012020001200110
413013221320113322011220
513101010123231333000
6150332404125334320
76411145520021646
oct707517027720550
9132772535201613
1031312331121000
119a82537674a36
1236186584073a0
131461981174297
147a374c508196
1539478b579850
hex1c7a785fa168

31312331121000 has 128 divisors (see below), whose sum is σ = 99966438000000. Its totient is φ = 8155769932800.

The previous prime is 31312331120989. The next prime is 31312331121017. The reversal of 31312331121000 is 12113321313.

It is a happy number.

It is a super-2 number, since 2×313123311210002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121236625 + ... + 121494624.

It is an arithmetic number, because the mean of its divisors is an integer number (780987796875).

Almost surely, 231312331121000 is an apocalyptic number.

31312331121000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312331121000 is an abundant number, since it is smaller than the sum of its proper divisors (68654106879000).

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

31312331121000 is a wasteful number, since it uses less digits than its factorization.

31312331121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242731316 (or 242731302 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31312331121000 its reverse (12113321313), we get a palindrome (31324444442313).

The spelling of 31312331121000 in words is "thirty-one trillion, three hundred twelve billion, three hundred thirty-one million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 129000 242731249 485462498 728193747 970924996 1213656245 1456387494 1941849992 2427312490 2912774988 3640968735 4854624980 5825549976 6068281225 7281937470 9709249960 10437443707 12136562450 14563874940 18204843675 20874887414 24273124900 29127749880 30341406125 31312331121 36409687350 41749774828 48546249800 52187218535 60682812250 62624662242 72819374700 83499549656 91024218375 104374437070 121365624500 125249324484 145638749400 156561655605 182048436750 208748874140 242731249000 250498648968 260936092675 313123311210 364096873500 417497748280 521872185350 626246622420 728193747000 782808278025 1043744370700 1252493244840 1304680463375 1565616556050 2087488741400 2609360926750 3131233112100 3914041390125 5218721853500 6262466224200 7828082780250 10437443707000 15656165560500 31312331121000