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23121202320 = 2432537867913
BaseRepresentation
bin10101100010001000…
…011000110010010000
32012200100121202220200
4111202020120302100
5334323011433240
614342143335200
71445651656056
oct254210306220
965610552820
1023121202320
119895352577
1245932b1500
132246217408
141194a3c1d6
15904ca1930
hex562218c90

23121202320 has 120 divisors (see below), whose sum is σ = 79747409976. Its totient is φ = 5999007744.

The previous prime is 23121202319. The next prime is 23121202337. The reversal of 23121202320 is 2320212132.

23121202320 is a `hidden beast` number, since 2 + 312 + 120 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4665436416 + 18455765904 = 68304^2 + 135852^2 .

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

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 = 23121202293 and 23121202302.

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, 407317 + ... + 460596.

Almost surely, 223121202320 is an apocalyptic number.

23121202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121202320 is an abundant number, since it is smaller than the sum of its proper divisors (56626207656).

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

23121202320 is a wasteful number, since it uses less digits than its factorization.

23121202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867969 (or 867960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23121202320 its reverse (2320212132), we get a palindrome (25441414452).

The spelling of 23121202320 in words is "twenty-three billion, one hundred twenty-one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 867913 1735826 2603739 3471652 4339565 5207478 6943304 7811217 8679130 10414956 13018695 13886608 15622434 17358260 20829912 26037390 31244868 32112781 34716520 39056085 41659824 52074780 62489736 64225562 69433040 78112170 96338343 104149560 124979472 128451124 156224340 160563905 192676686 208299120 256902248 289015029 312448680 321127810 385353372 481691715 513804496 578030058 624897360 642255620 770706744 963383430 1156060116 1284511240 1445075145 1541413488 1926766860 2312120232 2569022480 2890150290 3853533720 4624240464 5780300580 7707067440 11560601160 23121202320