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32130023112320 = 275722693160811
BaseRepresentation
bin1110100111000110110101…
…00111010011111010000000
311012202121012112222002012212
413103203122213103322000
513202404241404043240
6152200155010441252
76524213632202420
oct723433247237200
9135677175862185
1032130023112320
11a2682a2467661
12372b01b893228
1314c0b045ab073
147d115c400480
153aab97b83165
hex1d38da9d3e80

32130023112320 has 128 divisors (see below), whose sum is σ = 87822529257600. Its totient is φ = 11011149434880.

The previous prime is 32130023112241. The next prime is 32130023112331. The reversal of 32130023112320 is 2321132003123.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8584715 + ... + 11745525.

It is an arithmetic number, because the mean of its divisors is an integer number (686113509825).

Almost surely, 232130023112320 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 32130023112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911264628800).

32130023112320 is an abundant number, since it is smaller than the sum of its proper divisors (55692506145280).

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

32130023112320 is a wasteful number, since it uses less digits than its factorization.

32130023112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163106 (or 3163094 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 32130023112320 its reverse (2321132003123), we get a palindrome (34451155115443).

The spelling of 32130023112320 in words is "thirty-two trillion, one hundred thirty billion, twenty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2269 4480 4538 9076 11345 15883 18152 22690 31766 36304 45380 63532 72608 79415 90760 127064 145216 158830 181520 254128 290432 317660 363040 508256 635320 726080 1016512 1270640 1452160 2033024 2541280 3160811 5082560 6321622 10165120 12643244 15804055 22125677 25286488 31608110 44251354 50572976 63216220 88502708 101145952 110628385 126432440 177005416 202291904 221256770 252864880 354010832 404583808 442513540 505729760 708021664 885027080 1011459520 1416043328 1770054160 2022919040 2832086656 3540108320 7080216640 7171880159 14160433280 14343760318 28687520636 35859400795 50203161113 57375041272 71718801590 100406322226 114750082544 143437603180 200812644452 229500165088 251015805565 286875206360 401625288904 459000330176 502031611130 573750412720 803250577808 918000660352 1004063222260 1147500825440 1606501155616 2008126444520 2295001650880 3213002311232 4016252889040 4590003301760 6426004622464 8032505778080 16065011556160 32130023112320