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232111202130 = 233510913815711
BaseRepresentation
bin1101100000101011100…
…1111101111101010010
3211012010020011202202000
43120022321331331102
512300330431432010
6254344100334430
722524634444053
oct3301271757522
9735106152660
10232111202130
118a48a7a4685
1238b996a4416
1318b70bc4bb2
14b33ca9072a
1560875c97c0
hex360ae7df52

232111202130 has 128 divisors (see below), whose sum is σ = 625203532800. Its totient is φ = 61273324800.

The previous prime is 232111202117. The next prime is 232111202137. The reversal of 232111202130 is 31202111232.

232111202130 is a `hidden beast` number, since 2 + 321 + 11 + 202 + 130 = 666.

It is a super-2 number, since 2×2321112021302 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (232111202137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40639975 + ... + 40645685.

It is an arithmetic number, because the mean of its divisors is an integer number (4884402600).

Almost surely, 2232111202130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312601766400).

232111202130 is an abundant number, since it is smaller than the sum of its proper divisors (393092330670).

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

232111202130 is a wasteful number, since it uses less digits than its factorization.

232111202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

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

Adding to 232111202130 its reverse (31202111232), we get a palindrome (263313313362).

The spelling of 232111202130 in words is "two hundred thirty-two billion, one hundred eleven million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1381 1635 1962 2762 2943 3270 4143 4905 5711 5886 6905 8286 9810 11422 12429 13810 14715 17133 20715 24858 28555 29430 34266 37287 41430 51399 57110 62145 74574 85665 102798 124290 150529 154197 171330 186435 256995 301058 308394 372870 451587 513990 622499 752645 770985 903174 1244998 1354761 1505290 1541970 1867497 2257935 2709522 3112495 3734994 4064283 4515870 5602491 6224990 6773805 7886891 8128566 9337485 11204982 13547610 15773782 16807473 18674970 20321415 23660673 28012455 33614946 39434455 40642830 47321346 56024910 70982019 78868910 84037365 118303365 141964038 168074730 212946057 236606730 354910095 425892114 709820190 859671119 1064730285 1719342238 2129460570 2579013357 4298355595 5158026714 7737040071 8596711190 12895066785 15474080142 23211120213 25790133570 38685200355 46422240426 77370400710 116055601065 232111202130