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252332012130 = 235112565112301
BaseRepresentation
bin1110101100000000101…
…0001111001001100010
3220010022110012100100220
43223000022033021202
513113233443342010
6311530354423510
724142010466642
oct3530012171142
9803273170326
10252332012130
119801692a500
1240aa1591b96
131aa44261b23
14c2da414522
15686c910970
hex3ac028f262

252332012130 has 96 divisors (see below), whose sum is σ = 665827936704. Its totient is φ = 61155600000.

The previous prime is 252332012089. The next prime is 252332012167. The reversal of 252332012130 is 31210233252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252332012130.

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, 20506980 + ... + 20519280.

It is an arithmetic number, because the mean of its divisors is an integer number (6935707674).

Almost surely, 2252332012130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252332012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332913968352).

252332012130 is an abundant number, since it is smaller than the sum of its proper divisors (413495924574).

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

252332012130 is a wasteful number, since it uses less digits than its factorization.

252332012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17984 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 252332012130 its reverse (31210233252), we get a palindrome (283542245382).

The spelling of 252332012130 in words is "two hundred fifty-two billion, three hundred thirty-two million, twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 5651 11302 12301 16953 24602 28255 33906 36903 56510 61505 62161 73806 84765 123010 124322 135311 169530 184515 186483 270622 310805 369030 372966 405933 621610 676555 683771 811866 932415 1353110 1367542 1488421 1864830 2029665 2051313 2976842 3418855 4059330 4102626 4465263 6837710 7442105 8930526 10256565 14884210 20513130 22326315 44652630 69512951 139025902 208538853 347564755 417077706 695129510 764642461 1042694265 1529284922 2085388530 2293927383 3823212305 4587854766 7646424610 8411067071 11469636915 16822134142 22939273830 25233201213 42055335355 50466402426 84110670710 126166006065 252332012130