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10204431320 = 235472532179
BaseRepresentation
bin10011000000011101…
…10100001111011000
3222100011102211011202
421200032310033120
5131344313300240
64404324213332
7510606143426
oct114016641730
928304384152
1010204431320
114367154316
121b8953a248
13c68166755
146cb37a116
153eace0315
hex2603b43d8

10204431320 has 96 divisors (see below), whose sum is σ = 23912463600. Its totient is φ = 3917751552.

The previous prime is 10204431313. The next prime is 10204431353. The reversal of 10204431320 is 2313440201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10204431292 and 10204431301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4681991 + ... + 4684169.

Almost surely, 210204431320 is an apocalyptic number.

10204431320 is a gapful number since it is divisible by the number (10) 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 10204431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956231800).

10204431320 is an abundant number, since it is smaller than the sum of its proper divisors (13708032280).

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

10204431320 is a wasteful number, since it uses less digits than its factorization.

10204431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10204431320 its reverse (2313440201), we get a palindrome (12517871521).

The spelling of 10204431320 in words is "ten billion, two hundred four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 53 94 106 188 212 235 265 376 424 470 530 940 1060 1880 2120 2179 2209 2491 4358 4418 4982 8716 8836 9964 10895 11045 12455 17432 17672 19928 21790 22090 24910 43580 44180 49820 87160 88360 99640 102413 115487 117077 204826 230974 234154 409652 461948 468308 512065 577435 585385 819304 923896 936616 1024130 1154870 1170770 2048260 2309740 2341540 4096520 4619480 4683080 4813411 5427889 9626822 10855778 19253644 21711556 24067055 27139445 38507288 43423112 48134110 54278890 96268220 108557780 192536440 217115560 255110783 510221566 1020443132 1275553915 2040886264 2551107830 5102215660 10204431320