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10201163260 = 22541103269449
BaseRepresentation
bin10011000000000100…
…10110010111111100
3222022221021210020111
421200002112113330
5131342444211020
64404130155404
7510536312521
oct114002262774
928287253214
1010201163260
114365321a42
121b88422b64
13c675910a2
146cab69148
153ea896d5a
hex2600965fc

10201163260 has 96 divisors (see below), whose sum is σ = 22289904000. Its totient is φ = 3918888960.

The previous prime is 10201163249. The next prime is 10201163303. The reversal of 10201163260 is 6236110201.

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, 22719516 + ... + 22719964.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 210201163260 is an apocalyptic number.

10201163260 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 10201163260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

10201163260 is an abundant number, since it is smaller than the sum of its proper divisors (12088740740).

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

10201163260 is a wasteful number, since it uses less digits than its factorization.

10201163260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10201163260 its reverse (6236110201), we get a palindrome (16437273461).

The spelling of 10201163260 in words is "ten billion, two hundred one million, one hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 103 164 205 206 269 410 412 449 515 538 820 898 1030 1076 1345 1796 2060 2245 2690 4223 4490 5380 8446 8980 11029 16892 18409 21115 22058 27707 36818 42230 44116 46247 55145 55414 73636 84460 92045 92494 110290 110828 120781 138535 184090 184988 220580 231235 241562 277070 368180 462470 483124 554140 603905 924940 1135987 1207810 1896127 2271974 2415620 3792254 4543948 4952021 5679935 7584508 9480635 9904042 11359870 12440443 18961270 19808084 22719740 24760105 24880886 37922540 49520210 49761772 62202215 99040420 124404430 248808860 510058163 1020116326 2040232652 2550290815 5100581630 10201163260