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102213002010231 = 327191513461163393
BaseRepresentation
bin10111001111011001010001…
…101011010001111001110111
3111101220110121212000121201200
4113033121101223101321313
5101344124212003311411
61001220001020023543
730346434321643560
oct2717312153217167
9441813555017650
10102213002010231
112a628321a46962
12b569693691bb3
13450584c623158
141b351c84b3167
15bc3bdc41de56
hex5cf651ad1e77

102213002010231 has 96 divisors (see below), whose sum is σ = 178842236052480. Its totient is φ = 54950690304000.

The previous prime is 102213002010227. The next prime is 102213002010239. The reversal of 102213002010231 is 132010200312201.

102213002010231 is a `hidden beast` number, since 10 + 221 + 3 + 0 + 0 + 201 + 0 + 231 = 666.

It is not a de Polignac number, because 102213002010231 - 22 = 102213002010227 is a prime.

It is a super-2 number, since 2×1022130020102312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213002010239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625483671 + ... + 625647063.

It is an arithmetic number, because the mean of its divisors is an integer number (1862939958880).

Almost surely, 2102213002010231 is an apocalyptic number.

102213002010231 is a deficient number, since it is larger than the sum of its proper divisors (76629234042249).

102213002010231 is a wasteful number, since it uses less digits than its factorization.

102213002010231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167037 (or 167034 counting only the distinct ones).

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

Adding to 102213002010231 its reverse (132010200312201), we get a palindrome (234223202322432).

The spelling of 102213002010231 in words is "one hundred two trillion, two hundred thirteen billion, two million, ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 151 171 399 453 1057 1197 1359 2869 3171 3461 8607 9513 10383 20083 24227 25821 31149 60249 65759 72681 163393 180747 197277 218043 460313 490179 522611 591831 1143751 1380939 1470537 1567833 3104467 3431253 3658277 4142817 4703499 9313401 9929609 10293759 10974831 21731269 24672343 27940203 29788827 32924493 65193807 69507263 74017029 89366481 172706401 195581421 208521789 222051087 468774517 518119203 565503173 625565367 1406323551 1554357609 1696509519 3281421619 3958522211 4218970653 5089528557 9844264857 10744560287 11875566633 29532794571 32233680861 35626699899 75211922009 85390979123 96701042583 225635766027 256172937369 597736853861 676907298081 768518812107 1622428603337 1793210561583 4867285810011 5379631684749 11357000223359 14601857430033 34071000670077 102213002010231