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20232120201300 = 22325273211447651
BaseRepresentation
bin1001001100110101010000…
…10101100111000001010100
32122122011122020120110221100
410212122220111213001110
510122440340232420200
6111010301355350100
74155502541126430
oct446325025470124
978564566513840
1020232120201300
1164a0437448947
122329154152330
13b39b5b009a87
144dd3501b19c0
1525143d13bd00
hex1266a8567054

20232120201300 has 108 divisors (see below), whose sum is σ = 72475950610336. Its totient is φ = 4624484616000.

The previous prime is 20232120201269. The next prime is 20232120201317. The reversal of 20232120201300 is 310202123202.

20232120201300 is a `hidden beast` number, since 2 + 0 + 2 + 321 + 20 + 20 + 1 + 300 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1605717526 + ... + 1605730125.

Almost surely, 220232120201300 is an apocalyptic number.

20232120201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232120201300 is an abundant number, since it is smaller than the sum of its proper divisors (52243830409036).

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

20232120201300 is a wasteful number, since it uses less digits than its factorization.

20232120201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211447678 (or 3211447668 counting only the distinct ones).

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

Adding to 20232120201300 its reverse (310202123202), we get a palindrome (20542322324502).

The spelling of 20232120201300 in words is "twenty trillion, two hundred thirty-two billion, one hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 3211447651 6422895302 9634342953 12845790604 16057238255 19268685906 22480133557 28903028859 32114476510 38537371812 44960267114 48171714765 57806057718 64228953020 67440400671 80286191275 89920534228 96343429530 112400667785 115612115436 134880801342 144515144295 160572382550 192686859060 202321202013 224801335570 240858573825 269761602684 289030288590 321144765100 337202003355 404642404026 449602671140 481717147650 562003338925 578060577180 674404006710 722575721475 809284808052 963434295300 1011606010065 1124006677850 1348808013420 1445151442950 1686010016775 2023212020130 2248013355700 2890302885900 3372020033550 4046424040260 5058030050325 6744040067100 10116060100650 20232120201300