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20232130320 = 2433523407249
BaseRepresentation
bin10010110101111011…
…011100111100010000
31221020000022201012000
4102311323130330100
5312413411132240
613143340434000
71314241161453
oct226573347420
957200281160
1020232130320
118642567a66
123b07848900
131ba580175c
14d9d06d49a
157d6320430
hex4b5edcf10

20232130320 has 160 divisors (see below), whose sum is σ = 72718560000. Its totient is φ = 5160646656.

The previous prime is 20232130309. The next prime is 20232130339. The reversal of 20232130320 is 2303123202.

It is a happy number.

20232130320 is a `hidden beast` number, since 20 + 2 + 321 + 3 + 0 + 320 = 666.

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 = 20232130293 and 20232130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153945 + ... + 253304.

It is an arithmetic number, because the mean of its divisors is an integer number (454491000).

Almost surely, 220232130320 is an apocalyptic number.

20232130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232130320 is an abundant number, since it is smaller than the sum of its proper divisors (52486429680).

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

20232130320 is a wasteful number, since it uses less digits than its factorization.

20232130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407294 (or 407282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20232130320 its reverse (2303123202), we get a palindrome (22535253522).

The spelling of 20232130320 in words is "twenty billion, two hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 407249 814498 1221747 1628996 2036245 2443494 3257992 3665241 4072490 4886988 6108735 6515984 7330482 8144980 9366727 9773976 10995723 12217470 14660964 16289960 18326205 18733454 19547952 21991446 24434940 28100181 29321928 32579920 36652410 37466908 43982892 46833635 48869880 54978615 56200362 58643856 73304820 74933816 84300543 87965784 93667270 97739760 109957230 112400724 140500905 146609640 149867632 168601086 175931568 187334540 219914460 224801448 252901629 281001810 293219280 337202172 374669080 421502715 439828920 449602896 505803258 562003620 674404344 749338160 843005430 879657840 1011606516 1124007240 1264508145 1348808688 1686010860 2023213032 2248014480 2529016290 3372021720 4046426064 5058032580 6744043440 10116065160 20232130320