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10210331120 = 24511233116273
BaseRepresentation
bin10011000001001010…
…10100100111110000
3222100120112120011212
421200211110213300
5131402321043440
64405054455252
7511010245133
oct114045244760
928316476155
1010210331120
11436a513990
121b8b504528
13c69450c62
146cc07421a
153eb5a8465
hex2609549f0

10210331120 has 160 divisors (see below), whose sum is σ = 27896500224. Its totient is φ = 3436646400.

The previous prime is 10210331083. The next prime is 10210331149. The reversal of 10210331120 is 2113301201.

It is a junction number, because it is equal to n+sod(n) for n = 10210331095 and 10210331104.

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, 619304 + ... + 635576.

Almost surely, 210210331120 is an apocalyptic number.

10210331120 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 10210331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948250112).

10210331120 is an abundant number, since it is smaller than the sum of its proper divisors (17686169104).

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

10210331120 is a wasteful number, since it uses less digits than its factorization.

10210331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16351 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10210331120 its reverse (2113301201), we get a palindrome (12323632321).

The spelling of 10210331120 in words is "ten billion, two hundred ten million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 31 40 44 46 55 62 80 88 92 110 115 124 155 176 184 220 230 248 253 310 341 368 440 460 496 506 620 682 713 880 920 1012 1240 1265 1364 1426 1705 1840 2024 2480 2530 2728 2852 3410 3565 4048 5060 5456 5704 6820 7130 7843 10120 11408 13640 14260 15686 16273 20240 27280 28520 31372 32546 39215 57040 62744 65092 78430 81365 125488 130184 156860 162730 179003 260368 313720 325460 358006 374279 504463 627440 650920 716012 748558 895015 1008926 1301840 1432024 1497116 1790030 1871395 2017852 2522315 2864048 2994232 3580060 3742790 4035704 4117069 5044630 5549093 5988464 7160120 7485580 8071408 8234138 10089260 11098186 11602649 14320240 14971160 16468276 20178520 20585345 22196372 23205298 27745465 29942320 32936552 40357040 41170690 44392744 46410596 55490930 58013245 65873104 82341380 88785488 92821192 110981860 116026490 127629139 164682760 185642384 221963720 232052980 255258278 329365520 443927440 464105960 510516556 638145695 928211920 1021033112 1276291390 2042066224 2552582780 5105165560 10210331120