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32020221321312 = 2537141433369097
BaseRepresentation
bin1110100011111010010011…
…11010101110000001100000
311012101002210021112011110120
413101331021322232001200
513144104403124240222
6152033515301200240
76513245635316640
oct721751172560140
9135332707464416
1032020221321312
11a225777196934
123711897400080
1314b365618c1b3
147c9b03694520
153a7dbd18e15c
hex1d1f49eae060

32020221321312 has 96 divisors (see below), whose sum is σ = 96067484577792. Its totient is φ = 9147985081344.

The previous prime is 32020221321289. The next prime is 32020221321329. The reversal of 32020221321312 is 21312312202023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7819548 + ... + 11188644.

It is an arithmetic number, because the mean of its divisors is an integer number (1000702964352).

Almost surely, 232020221321312 is an apocalyptic number.

32020221321312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32020221321312 is an abundant number, since it is smaller than the sum of its proper divisors (64047263256480).

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

32020221321312 is a wasteful number, since it uses less digits than its factorization.

32020221321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383260 (or 3383252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32020221321312 its reverse (21312312202023), we get a palindrome (53332533523335).

The spelling of 32020221321312 in words is "thirty-two trillion, twenty billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 14143 28286 42429 56572 84858 99001 113144 169716 198002 226288 297003 339432 396004 452576 594006 678864 792008 1188012 1357728 1584016 2376024 3168032 3369097 4752048 6738194 9504096 10107291 13476388 20214582 23583679 26952776 40429164 47167358 53905552 70751037 80858328 94334716 107811104 141502074 161716656 188669432 283004148 323433312 377338864 566008296 754677728 1132016592 2264033184 47649138871 95298277742 142947416613 190596555484 285894833226 333543972097 381193110968 571789666452 667087944194 762386221936 1000631916291 1143579332904 1334175888388 1524772443872 2001263832582 2287158665808 2668351776776 4002527665164 4574317331616 5336703553552 8005055330328 10673407107104 16010110660656 32020221321312