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10211300120 = 235725398299
BaseRepresentation
bin10011000001010010…
…00001001100011000
3222100122100210101202
421200221001030120
5131403043100440
64405131333332
7511021422200
oct114051011430
928318323352
1010211300120
114370015a0a
121b8b8b1248
13c69700028
146cc247400
153eb6ea615
hex260a41318

10211300120 has 96 divisors (see below), whose sum is σ = 27231066000. Its totient is φ = 3434925312.

The previous prime is 10211300111. The next prime is 10211300129. The reversal of 10211300120 is 2100311201.

It is an interprime number because it is at equal distance from previous prime (10211300111) and next prime (10211300129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211300129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54731 + ... + 153029.

Almost surely, 210211300120 is an apocalyptic number.

10211300120 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 10211300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615533000).

10211300120 is an abundant number, since it is smaller than the sum of its proper divisors (17019765880).

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

10211300120 is a wasteful number, since it uses less digits than its factorization.

10211300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98377 (or 98366 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10211300120 its reverse (2100311201), we get a palindrome (12311611321).

The spelling of 10211300120 in words is "ten billion, two hundred eleven million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 53 56 70 98 106 140 196 212 245 265 280 371 392 424 490 530 742 980 1060 1484 1855 1960 2120 2597 2968 3710 5194 7420 10388 12985 14840 20776 25970 51940 98299 103880 196598 393196 491495 688093 786392 982990 1376186 1965980 2752372 3440465 3931960 4816651 5209847 5504744 6880930 9633302 10419694 13761860 19266604 20839388 24083255 26049235 27523720 36468929 38533208 41678776 48166510 52098470 72937858 96333020 104196940 145875716 182344645 192666040 208393880 255282503 291751432 364689290 510565006 729378580 1021130012 1276412515 1458757160 2042260024 2552825030 5105650060 10211300120