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10021214313 = 32112139239277
BaseRepresentation
bin10010101010100111…
…11001100001101001
3221212101200102200200
421111103321201221
5131010412324223
64334221222413
7503222626155
oct112523714151
927771612620
1010021214313
114282794700
121b38101a09
13c39207516
146b0cc6065
153d9b9da43
hex2554f9869

10021214313 has 72 divisors (see below), whose sum is σ = 16150243200. Its totient is φ = 5982863040.

The previous prime is 10021214311. The next prime is 10021214323. The reversal of 10021214313 is 31341212001.

10021214313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021214313 - 21 = 10021214311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021214311) 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 71 ways as a sum of consecutive naturals, for example, 36177531 + ... + 36177807.

Almost surely, 210021214313 is an apocalyptic number.

It is an amenable number.

10021214313 is a deficient number, since it is larger than the sum of its proper divisors (6129028887).

10021214313 is a wasteful number, since it uses less digits than its factorization.

10021214313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10021214313 its reverse (31341212001), we get a palindrome (41362426314).

The spelling of 10021214313 in words is "ten billion, twenty-one million, two hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 121 139 239 277 363 417 717 831 1089 1251 1529 2151 2493 2629 3047 4587 7887 9141 13761 16819 23661 27423 28919 33221 33517 38503 50457 66203 86757 99663 100551 115509 151371 198609 260271 298989 301653 346527 365431 423533 595827 728233 1096293 1270599 2184699 3288879 3811797 4019741 4658863 6554097 8010563 9202217 12059223 13976589 24031689 27606651 36177669 41929767 72095067 82819953 101224387 303673161 911019483 1113468257 3340404771 10021214313