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10212001310 = 257253675869
BaseRepresentation
bin10011000001010111…
…01100011000011110
3222100200200102020202
421200223230120132
5131403233020220
64405154343502
7511030402400
oct114053543036
928320612222
1010212001310
114370454805
121b8bb8ab92
13c698b7234
146cc38ab70
153eb7d8275
hex260aec61e

10212001310 has 96 divisors (see below), whose sum is σ = 22115060640. Its totient is φ = 3383347968.

The previous prime is 10212001301. The next prime is 10212001313. The reversal of 10212001310 is 1310021201.

It is a super-2 number, since 2×102120013102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212001291 and 10212001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212001313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737056 + ... + 1742924.

It is an arithmetic number, because the mean of its divisors is an integer number (230365215).

Almost surely, 210212001310 is an apocalyptic number.

10212001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212001310 is an abundant number, since it is smaller than the sum of its proper divisors (11903059330).

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

10212001310 is a wasteful number, since it uses less digits than its factorization.

10212001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6003 counting only the distinct ones).

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

Adding to 10212001310 its reverse (1310021201), we get a palindrome (11522022511).

The spelling of 10212001310 in words is "ten billion, two hundred twelve million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 53 67 70 98 106 134 245 265 335 371 469 490 530 670 742 938 1855 2345 2597 3283 3551 3710 4690 5194 5869 6566 7102 11738 12985 16415 17755 24857 25970 29345 32830 35510 41083 49714 58690 82166 124285 173999 205415 248570 287581 311057 347998 393223 410830 575162 622114 786446 869995 1437905 1555285 1739990 1966115 2177399 2752561 2875810 3110570 3932230 4354798 5505122 10886995 13762805 15241793 19267927 20840819 21773990 27525610 30483586 38535854 41681638 76208965 96339635 104204095 145885733 152417930 192679270 208408190 291771466 729428665 1021200131 1458857330 2042400262 5106000655 10212001310