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10223031001211 = 726115134964901
BaseRepresentation
bin1001010011000011110000…
…1000011010000001111011
31100012022102121102000120122
42110300330020122001323
52314443231414014321
633424221241243455
72103406144516400
oct224607410320173
940168377360518
1010223031001211
113291621539316
12119136049358b
13592048a9c462
14274b23c8c2a7
1512add029c8ab
hex94c3c21a07b

10223031001211 has 48 divisors (see below), whose sum is σ = 12202147137600. Its totient is φ = 8537205600000.

The previous prime is 10223031001207. The next prime is 10223031001213. The reversal of 10223031001211 is 11210013032201.

It is not a de Polignac number, because 10223031001211 - 22 = 10223031001207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10223031001211.

It is not an unprimeable number, because it can be changed into a prime (10223031001213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157484861 + ... + 157549761.

It is an arithmetic number, because the mean of its divisors is an integer number (254211398700).

Almost surely, 210223031001211 is an apocalyptic number.

10223031001211 is a deficient number, since it is larger than the sum of its proper divisors (1979116136389).

10223031001211 is a wasteful number, since it uses less digits than its factorization.

10223031001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65476 (or 65469 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10223031001211 its reverse (11210013032201), we get a palindrome (21433044033412).

The spelling of 10223031001211 in words is "ten trillion, two hundred twenty-three billion, thirty-one million, one thousand, two hundred eleven".

Divisors: 1 7 49 61 151 349 427 1057 2443 2989 7399 9211 17101 21289 52699 64477 64901 149023 368893 451339 454307 1043161 2582251 3180149 3214639 3958961 9800051 22502473 22650449 27712727 68600357 157517311 158553143 193989089 480202499 597803111 1109872001 1381677389 3420217799 4184621777 9671741723 23941524593 29292352439 67702192061 167590672151 208633285739 1460433000173 10223031001211