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20123000520 = 233573488897
BaseRepresentation
bin10010101111011011…
…001001111011001000
31220221101222100020120
4102233123021323020
5312202442004040
613124441423240
71311444453000
oct225733117310
956841870216
1020123000520
118596a00147
123a9719ab20
131b890124cc
14d8c783000
157cb9657d0
hex4af6c9ec8

20123000520 has 128 divisors (see below), whose sum is σ = 70401312000. Its totient is φ = 4599533568.

The previous prime is 20123000507. The next prime is 20123000561. The reversal of 20123000520 is 2500032102.

It is a super-3 number, since 3×201230005203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20123000520.

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, 203289 + ... + 285608.

It is an arithmetic number, because the mean of its divisors is an integer number (550010250).

Almost surely, 220123000520 is an apocalyptic number.

20123000520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123000520 is an abundant number, since it is smaller than the sum of its proper divisors (50278311480).

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

20123000520 is a wasteful number, since it uses less digits than its factorization.

20123000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488932 (or 488914 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 20123000520 its reverse (2500032102), we get a palindrome (22623032622).

The spelling of 20123000520 in words is "twenty billion, one hundred twenty-three million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 488897 977794 1466691 1955588 2444485 2933382 3422279 3911176 4888970 5866764 6844558 7333455 9777940 10266837 11733528 13689116 14666910 17111395 19555880 20533674 23955953 27378232 29333820 34222790 41067348 47911906 51334185 58667640 68445580 71867859 82134696 95823812 102668370 119779765 136891160 143735718 167691671 191647624 205336740 239559530 287471436 335383342 359339295 410673480 479119060 503075013 574942872 670766684 718678590 838458355 958238120 1006150026 1341533368 1437357180 1676916710 2012300052 2515375065 2874714360 3353833420 4024600104 5030750130 6707666840 10061500260 20123000520