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204120011420 = 225137323834513
BaseRepresentation
bin1011111000011010000…
…0000011001010011100
3201111212110210221122222
42332012200003022130
511321014210331140
6233434344124512
720514166320053
oct2760640031234
9644773727588
10204120011420
1179626474816
1233687466738
131632ca6ca60
149c4535539a
15549a0035b5
hex2f8680329c

204120011420 has 96 divisors (see below), whose sum is σ = 468248992512. Its totient is φ = 74287300608.

The previous prime is 204120011419. The next prime is 204120011423. The reversal of 204120011420 is 24110021402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120011423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45227084 + ... + 45231596.

It is an arithmetic number, because the mean of its divisors is an integer number (4877593672).

Almost surely, 2204120011420 is an apocalyptic number.

204120011420 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 204120011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234124496256).

204120011420 is an abundant number, since it is smaller than the sum of its proper divisors (264128981092).

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

204120011420 is a wasteful number, since it uses less digits than its factorization.

204120011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 204120011420 its reverse (24110021402), we get a palindrome (228230032822).

The spelling of 204120011420 in words is "two hundred four billion, one hundred twenty million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 2383 3796 4513 4745 4766 9026 9490 9532 11915 18052 18980 22565 23830 30979 45130 47660 58669 61958 90260 117338 123916 154895 173959 234676 293345 309790 329449 347918 586690 619580 658898 695836 869795 1173380 1317796 1647245 1739590 2261467 3294490 3479180 4282837 4522934 6588980 8565674 9045868 10754479 11307335 17131348 21414185 21508958 22614670 42828370 43017916 45229340 53772395 85656740 107544790 139808227 215089580 279616454 559232908 699041135 785076967 1398082270 1570153934 2796164540 3140307868 3925384835 7850769670 10206000571 15701539340 20412001142 40824002284 51030002855 102060005710 204120011420