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32102000112 = 24371310371353
BaseRepresentation
bin11101111001011011…
…011010010111110000
310001212020120120110010
4131321123122113300
51011221103000422
622425241134520
72214342333030
oct357133322760
9101766516403
1032102000112
1112683818906
12627aa8a440
133047a03450
1417a76958c0
15c7d438b0c
hex7796da5f0

32102000112 has 160 divisors (see below), whose sum is σ = 103060292608. Its totient is φ = 8384145408.

The previous prime is 32102000093. The next prime is 32102000129. The reversal of 32102000112 is 21100020123.

It is a super-2 number, since 2×321020001122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 414228 + ... + 485580.

Almost surely, 232102000112 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 32102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51530146304).

32102000112 is an abundant number, since it is smaller than the sum of its proper divisors (70958292496).

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

32102000112 is a wasteful number, since it uses less digits than its factorization.

32102000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71487 (or 71481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32102000112 its reverse (21100020123), we get a palindrome (53202020235).

The spelling of 32102000112 in words is "thirty-two billion, one hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 103 104 112 156 168 182 206 208 273 309 312 336 364 412 546 618 624 721 728 824 1092 1236 1339 1442 1456 1648 2163 2184 2472 2678 2884 4017 4326 4368 4944 5356 5768 8034 8652 9373 10712 11536 16068 17304 18746 21424 28119 32136 34608 37492 56238 64272 71353 74984 112476 142706 149968 214059 224952 285412 428118 449904 499471 570824 856236 927589 998942 1141648 1498413 1712472 1855178 1997884 2782767 2996826 3424944 3710356 3995768 5565534 5993652 6493123 7349359 7420712 7991536 11131068 11987304 12986246 14698718 14841424 19479369 22048077 22262136 23974608 25972492 29397436 38958738 44096154 44524272 51445513 51944984 58794872 77917476 88192308 95541667 102891026 103889968 117589744 154336539 155834952 176384616 191083334 205782052 286625001 308673078 311669904 352769232 382166668 411564104 573250002 617346156 668791669 764333336 823128208 1146500004 1234692312 1337583338 1528666672 2006375007 2293000008 2469384624 2675166676 4012750014 4586000016 5350333352 8025500028 10700666704 16051000056 32102000112