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20300232120 = 2335791926297
BaseRepresentation
bin10010111001111111…
…001111010110111000
31221101202110122021220
4102321333033112320
5313033324411440
613154212232040
71316026061130
oct227177172670
957352418256
1020300232120
118677a51943
123b2660b620
131bb695728c
14da8119ac0
157dc2c38d0
hex4b9fcf5b8

20300232120 has 128 divisors (see below), whose sum is σ = 69679180800. Its totient is φ = 4634827776.

The previous prime is 20300232119. The next prime is 20300232131. The reversal of 20300232120 is 2123200302.

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 20300232120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758812 + ... + 785108.

It is an arithmetic number, because the mean of its divisors is an integer number (544368600).

Almost surely, 220300232120 is an apocalyptic number.

20300232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34839590400).

20300232120 is an abundant number, since it is smaller than the sum of its proper divisors (49378948680).

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

20300232120 is a wasteful number, since it uses less digits than its factorization.

20300232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27237 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20300232120 its reverse (2123200302), we get a palindrome (22423432422).

The spelling of 20300232120 in words is "twenty billion, three hundred million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 919 1838 2757 3676 4595 5514 6433 7352 9190 11028 12866 13785 18380 19299 22056 25732 26297 27570 32165 36760 38598 51464 52594 55140 64330 77196 78891 96495 105188 110280 128660 131485 154392 157782 184079 192990 210376 257320 262970 315564 368158 385980 394455 525940 552237 631128 736316 771960 788910 920395 1051880 1104474 1472632 1577820 1840790 2208948 2761185 3155640 3681580 4417896 5522370 7363160 11044740 22089480 24166943 48333886 72500829 96667772 120834715 145001658 169168601 193335544 241669430 290003316 338337202 362504145 483338860 507505803 580006632 676674404 725008290 845843005 966677720 1015011606 1353348808 1450016580 1691686010 2030023212 2537529015 2900033160 3383372020 4060046424 5075058030 6766744040 10150116060 20300232120