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20200012120 = 23583101107563
BaseRepresentation
bin10010110100000000…
…111011100101011000
31221010202212221022001
4102310000323211120
5312332200341440
613140232210344
71313401161421
oct226400734530
957122787261
1020200012120
1186264200a2
123ab8b399b4
131b9bc675c2
14d98aac648
157d35c8b9a
hex4b403b958

20200012120 has 128 divisors (see below), whose sum is σ = 46970461440. Its totient is φ = 7815846400.

The previous prime is 20200012117. The next prime is 20200012139. The reversal of 20200012120 is 2121000202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20200012097 and 20200012106.

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, 35878959 + ... + 35879521.

It is an arithmetic number, because the mean of its divisors is an integer number (366956730).

Almost surely, 220200012120 is an apocalyptic number.

20200012120 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 20200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485230720).

20200012120 is an abundant number, since it is smaller than the sum of its proper divisors (26770449320).

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

20200012120 is a wasteful number, since it uses less digits than its factorization.

20200012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20200012120 its reverse (2121000202), we get a palindrome (22321012322).

The spelling of 20200012120 in words is "twenty billion, two hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 101 107 166 202 214 332 404 415 428 505 535 563 664 808 830 856 1010 1070 1126 1660 2020 2140 2252 2815 3320 4040 4280 4504 5630 8383 8881 10807 11260 16766 17762 21614 22520 33532 35524 41915 43228 44405 46729 54035 56863 60241 67064 71048 83830 86456 88810 93458 108070 113726 120482 167660 177620 186916 216140 227452 233645 240964 284315 301205 335320 355240 373832 432280 454904 467290 481928 568630 602410 896981 934580 1137260 1204820 1793962 1869160 2274520 2409640 3587924 4484905 4719629 5000003 6084341 7175848 8969810 9439258 10000006 12168682 17939620 18878516 20000012 23598145 24337364 25000015 30421705 35879240 37757032 40000024 47196290 48674728 50000030 60843410 94392580 100000060 121686820 188785160 200000120 243373640 505000303 1010000606 2020001212 2525001515 4040002424 5050003030 10100006060 20200012120