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20302013120 = 265432575741
BaseRepresentation
bin10010111010000110…
…000010001011000000
31221101212211010100212
4102322012002023000
5313034303404440
613154314333252
71316050156424
oct227206021300
957355733325
1020302013120
118678a58a44
123b2712a228
131bb712bb1c
14da8460b84
157dc526465
hex4ba1822c0

20302013120 has 112 divisors (see below), whose sum is σ = 49669586208. Its totient is φ = 7899709440.

The previous prime is 20302013113. The next prime is 20302013159. The reversal of 20302013120 is 2131020302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20302013095 and 20302013104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3533450 + ... + 3539190.

Almost surely, 220302013120 is an apocalyptic number.

20302013120 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 20302013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834793104).

20302013120 is an abundant number, since it is smaller than the sum of its proper divisors (29367573088).

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

20302013120 is a wasteful number, since it uses less digits than its factorization.

20302013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20302013120 its reverse (2131020302), we get a palindrome (22433033422).

The spelling of 20302013120 in words is "twenty billion, three hundred two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 257 320 344 430 514 688 860 1028 1285 1376 1720 2056 2570 2752 3440 4112 5140 5741 6880 8224 10280 11051 11482 13760 16448 20560 22102 22964 28705 41120 44204 45928 55255 57410 82240 88408 91856 110510 114820 176816 183712 221020 229640 246863 353632 367424 442040 459280 493726 707264 884080 918560 987452 1234315 1475437 1768160 1837120 1974904 2468630 2950874 3536320 3949808 4937260 5901748 7377185 7899616 9874520 11803496 14754370 15799232 19749040 23606992 29508740 39498080 47213984 59017480 63443791 78996160 94427968 118034960 126887582 236069920 253775164 317218955 472139840 507550328 634437910 1015100656 1268875820 2030201312 2537751640 4060402624 5075503280 10151006560 20302013120