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210020121131130 = 232512726836848477
BaseRepresentation
bin101111110000001100011110…
…101101110011100001111010
31000112121201122100022200022200
4233300030132231303201322
5210011432202002144010
62022401524532131030
762144311246531032
oct5760143655634172
91015551570280280
10210020121131130
1160a1204018aa62
121b67b381766a76
139025a73c23a4b
1439c105716a8c2
15194318a6c8cc0
hexbf031eb7387a

210020121131130 has 96 divisors (see below), whose sum is σ = 550557145442304. Its totient is φ = 55543660599168.

The previous prime is 210020121131129. The next prime is 210020121131141. The reversal of 210020121131130 is 31131121020012.

210020121131130 is a `hidden beast` number, since 2 + 100 + 201 + 21 + 1 + 311 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27242452 + ... + 34090928.

It is an arithmetic number, because the mean of its divisors is an integer number (5734970265024).

Almost surely, 2210020121131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020121131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275278572721152).

210020121131130 is an abundant number, since it is smaller than the sum of its proper divisors (340537024311174).

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

210020121131130 is a wasteful number, since it uses less digits than its factorization.

210020121131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851300 (or 6851297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210020121131130 its reverse (31131121020012), we get a palindrome (241151242151142).

The spelling of 210020121131130 in words is "two hundred ten trillion, twenty billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 2683 3810 5366 5715 8049 11430 13415 16098 24147 26830 40245 48294 80490 120735 241470 340741 681482 1022223 1703705 2044446 3066669 3407410 5111115 6133338 6848477 10222230 13696954 15333345 20545431 30666690 34242385 41090862 61636293 68484770 102727155 123272586 205454310 308181465 616362930 869756579 1739513158 2609269737 4348782895 5218539474 7827809211 8697565790 13046348685 15655618422 18374463791 26092697370 36748927582 39139046055 55123391373 78278092110 91872318955 110246782746 165370174119 183744637910 275616956865 330740348238 551233913730 826850870595 1653701741190 2333556901457 4667113802914 7000670704371 11667784507285 14001341408742 21002012113113 23335569014570 35003353521855 42004024226226 70006707043710 105010060565565 210020121131130