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232011020220120 = 23325853755539339
BaseRepresentation
bin110100110000001101000110…
…011100011011011011011000
31010102111000222220122212001100
4310300031012130123123120
5220402232032134020440
62141240220303151400
766604146236601531
oct6460150634333330
91112430886585040
10232011020220120
1167a20359443719
12220313592a5560
139c5c7121194ab
1441415712b5688
151bc521457b230
hexd3034671b6d8

232011020220120 has 96 divisors (see below), whose sum is σ = 754919797741200. Its totient is φ = 61797073533696.

The previous prime is 232011020220013. The next prime is 232011020220211. The reversal of 232011020220120 is 21022020110232.

232011020220120 is a `hidden beast` number, since 2 + 320 + 1 + 1 + 0 + 2 + 0 + 220 + 120 = 666.

It is a super-2 number, since 2×2320110202201202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232011020220093 and 232011020220102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 377462590 + ... + 378076749.

Almost surely, 2232011020220120 is an apocalyptic number.

232011020220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232011020220120 is an abundant number, since it is smaller than the sum of its proper divisors (522908777521080).

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

232011020220120 is a wasteful number, since it uses less digits than its factorization.

232011020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755540209 (or 755540202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232011020220120 its reverse (21022020110232), we get a palindrome (253033040330352).

The spelling of 232011020220120 in words is "two hundred thirty-two trillion, eleven billion, twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 853 1706 2559 3412 4265 5118 6824 7677 8530 10236 12795 15354 17060 20472 25590 30708 34120 38385 51180 61416 76770 102360 153540 307080 755539339 1511078678 2266618017 3022157356 3777696695 4533236034 6044314712 6799854051 7555393390 9066472068 11333090085 13599708102 15110786780 18132944136 22666180170 27199416204 30221573560 33999270255 45332360340 54398832408 67998540510 90664720680 135997081020 271994162040 644475056167 1288950112334 1933425168501 2577900224668 3222375280835 3866850337002 5155800449336 5800275505503 6444750561670 7733700674004 9667125842505 11600551011006 12889501123340 15467401348008 19334251685010 23201102022012 25779002246680 29001377527515 38668503370020 46402204044024 58002755055030 77337006740040 116005510110060 232011020220120