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10150420210 = 25729311011597
BaseRepresentation
bin10010111010000001…
…10001111011110010
3222012101210202212021
421131000301323302
5131242001421320
64355114422054
7506352101560
oct113500617362
928171722767
1010150420210
114339713a37
121b7343192a
13c59c05708
146c411aa30
153e61c1daa
hex25d031ef2

10150420210 has 128 divisors (see below), whose sum is σ = 22532567040. Its totient is φ = 3217536000.

The previous prime is 10150420187. The next prime is 10150420219. The reversal of 10150420210 is 1202405101.

10150420210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10150420219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6355132 + ... + 6356728.

It is an arithmetic number, because the mean of its divisors is an integer number (176035680).

Almost surely, 210150420210 is an apocalyptic number.

10150420210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10150420210 is an abundant number, since it is smaller than the sum of its proper divisors (12382146830).

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

10150420210 is a wasteful number, since it uses less digits than its factorization.

10150420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10150420210 its reverse (1202405101), we get a palindrome (11352825311).

The spelling of 10150420210 in words is "ten billion, one hundred fifty million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 29 31 35 58 62 70 101 145 155 202 203 217 290 310 406 434 505 707 899 1010 1015 1085 1414 1597 1798 2030 2170 2929 3131 3194 3535 4495 5858 6262 6293 7070 7985 8990 11179 12586 14645 15655 15970 20503 21917 22358 29290 31310 31465 41006 43834 46313 49507 55895 62930 90799 92626 99014 102515 109585 111790 161297 181598 205030 219170 231565 247535 322594 324191 346549 453995 463130 495070 635593 648382 693098 806485 907990 1129079 1271186 1435703 1612970 1620955 1732745 2258158 2871406 3177965 3241910 3465490 4677613 5000207 5645395 6355930 7178515 9355226 10000414 10049921 11290790 14357030 20099842 23388065 25001035 32743291 35001449 46776130 50002070 50249605 65486582 70002898 100499210 145006003 163716455 175007245 290012006 327432910 350014490 725030015 1015042021 1450060030 2030084042 5075210105 10150420210