Search a number
-
+
32120204112320 = 265149782386113
BaseRepresentation
bin1110100110110100100010…
…10110110011000111000000
311012201122212020210012102012
413103122101112303013000
513202224134223043240
6152151452411312052
76523415413112312
oct723322126630700
9135648766705365
1032120204112320
11a264113938625
12372913b44b628
1314bcbcb2549ac
147d08aa3157b2
153aa7c0b29b65
hex1d36915b31c0

32120204112320 has 112 divisors (see below), whose sum is σ = 77010303484800. Its totient is φ = 12760073404416.

The previous prime is 32120204112281. The next prime is 32120204112341. The reversal of 32120204112320 is 2321140202123.

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, 372957584 + ... + 373043696.

It is an arithmetic number, because the mean of its divisors is an integer number (687591995400).

Almost surely, 232120204112320 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 32120204112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38505151742400).

32120204112320 is an abundant number, since it is smaller than the sum of its proper divisors (44890099372480).

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

32120204112320 is a wasteful number, since it uses less digits than its factorization.

32120204112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94102 (or 94092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 32120204112320 its reverse (2321140202123), we get a palindrome (34441344314443).

The spelling of 32120204112320 in words is "thirty-two trillion, one hundred twenty billion, two hundred four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 1192 1490 2384 2980 4768 5960 7823 9536 11920 15646 23840 31292 39115 47680 62584 78230 86113 125168 156460 172226 250336 312920 344452 430565 500672 625840 688904 861130 1165627 1251680 1377808 1722260 2331254 2503360 2755616 3444520 4662508 5511232 5828135 6889040 9325016 11656270 12830837 13778080 18650032 23312540 25661674 27556160 37300064 46625080 51323348 64154185 74600128 93250160 102646696 128308370 186500320 205293392 256616740 373000640 410586784 513233480 673661999 821173568 1026466960 1347323998 2052933920 2694647996 3368309995 4105867840 5389295992 6736619990 10778591984 13473239980 21557183968 26946479960 43114367936 53892959920 100375637851 107785919840 200751275702 215571839680 401502551404 501878189255 803005102808 1003756378510 1606010205616 2007512757020 3212020411232 4015025514040 6424040822464 8030051028080 16060102056160 32120204112320