Search a number
-
+
32113313122320 = 24325172623636693
BaseRepresentation
bin1110100110100111101101…
…00111110000100000010000
311012201000002000011122020100
413103103312213300200100
513202121031124403240
6152144352525412400
76523052556502413
oct723236647604020
9135630060148210
1032113313122320
11a2611a8079871
12372793770a100
1314bc3706c8611
147d0415053b7a
153aa51ab94e30
hex1d34f69f0810

32113313122320 has 120 divisors (see below), whose sum is σ = 114191163469656. Its totient is φ = 8059811917824.

The previous prime is 32113313122307. The next prime is 32113313122333. The reversal of 32113313122320 is 2322131331123.

32113313122320 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 3 + 313 + 1 + 22 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (32113313122307) and next prime (32113313122333).

It can be written as a sum of positive squares in 4 ways, for example, as 1055608295184 + 31057704827136 = 1027428^2 + 5572944^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311806107 + ... + 1311830586.

Almost surely, 232113313122320 is an apocalyptic number.

32113313122320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32113313122320 is an abundant number, since it is smaller than the sum of its proper divisors (82077850347336).

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

32113313122320 is a wasteful number, since it uses less digits than its factorization.

32113313122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623636729 (or 2623636720 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 32113313122320 its reverse (2322131331123), we get a palindrome (34435444453443).

The spelling of 32113313122320 in words is "thirty-two trillion, one hundred thirteen billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 2623636693 5247273386 7870910079 10494546772 13118183465 15741820158 20989093544 23612730237 26236366930 31483640316 39354550395 41978187088 44601823781 47225460474 52472733860 62967280632 78709100790 89203647562 94450920948 104945467720 118063651185 125934561264 133805471343 157418201580 178407295124 188901841896 209890935440 223009118905 236127302370 267610942686 314836403160 356814590248 377803683792 401416414029 446018237810 472254604740 535221885372 629672806320 669027356715 713629180496 802832828058 892036475620 944509209480 1070443770744 1338054713430 1605665656116 1784072951240 1889018418960 2007082070145 2140887541488 2676109426860 3211331312232 3568145902480 4014164140290 5352218853720 6422662624464 8028328280580 10704437707440 16056656561160 32113313122320