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32131114031000 = 2353732659165533
BaseRepresentation
bin1110100111001000110111…
…01000110101011110011000
311012202201000120201111022102
413103210123220311132120
513202414010142443000
6152200455140542532
76524252646643355
oct723443350653630
9135681016644272
1032131114031000
11a268802239a46
12372b2850b1a48
1314c0c495cc38a
147d122325762c
153aac0d8233d5
hex1d391ba35798

32131114031000 has 128 divisors (see below), whose sum is σ = 76245887390400. Its totient is φ = 12671540812800.

The previous prime is 32131114030957. The next prime is 32131114031153. The reversal of 32131114031000 is 13041113123.

It is a super-2 number, since 2×321311140310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 194024234 + ... + 194189766.

Almost surely, 232131114031000 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 32131114031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38122943695200).

32131114031000 is an abundant number, since it is smaller than the sum of its proper divisors (44114773359400).

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

32131114031000 is a wasteful number, since it uses less digits than its factorization.

32131114031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168286 (or 168272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32131114031000 its reverse (13041113123), we get a palindrome (32144155144123).

The spelling of 32131114031000 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred fourteen million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2659 2920 3650 5318 7300 9125 10636 13295 14600 18250 21272 26590 36500 53180 66475 73000 106360 132950 165533 194107 265900 331066 332375 388214 531800 662132 664750 776428 827665 970535 1324264 1329500 1552856 1655330 1941070 2659000 3310660 3882140 4138325 4852675 6621320 7764280 8276650 9705350 12083909 16553300 19410700 20691625 24167818 24263375 33106600 38821400 41383250 48335636 48526750 60419545 82766500 96671272 97053500 120839090 165533000 194107000 241678180 302097725 440152247 483356360 604195450 880304494 1208390900 1510488625 1760608988 2200761235 2416781800 3020977250 3521217976 4401522470 6041954500 8803044940 11003806175 12083909000 17606089880 22007612350 32131114031 44015224700 55019030875 64262228062 88030449400 110038061750 128524456124 160655570155 220076123500 257048912248 321311140310 440152247000 642622280620 803277850775 1285244561240 1606555701550 3213111403100 4016389253875 6426222806200 8032778507750 16065557015500 32131114031000