Search a number
-
+
233122135131150 = 2352432840534109
BaseRepresentation
bin110101000000010111111010…
…000011011100010000001110
31010120102020222102101121022120
4311000113322003130100032
5221023433113043144100
62143450455211553410
7100050342554526516
oct6500277203342016
91116366872347276
10233122135131150
11683095a68888a1
122219076b45b866
13a0104278838a5
14417d258a02846
151be4095c190a0
hexd405fa0dc40e

233122135131150 has 72 divisors (see below), whose sum is σ = 591900758125560. Its totient is φ = 60720183961920.

The previous prime is 233122135131121. The next prime is 233122135131167. The reversal of 233122135131150 is 51131531221332.

It is a happy number.

It is a super-2 number, since 2×2331221351311502 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419989705 + ... + 420544404.

It is an arithmetic number, because the mean of its divisors is an integer number (8220843862855).

Almost surely, 2233122135131150 is an apocalyptic number.

233122135131150 is an abundant number, since it is smaller than the sum of its proper divisors (358778622994410).

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

233122135131150 is a wasteful number, since it uses less digits than its factorization.

233122135131150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840534210 (or 840534162 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 233122135131150 its reverse (51131531221332), we get a palindrome (284253666352482).

The spelling of 233122135131150 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, one hundred thirty-five million, one hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 1849 2150 3225 3698 5547 6450 9245 11094 18490 27735 46225 55470 92450 138675 277350 840534109 1681068218 2521602327 4202670545 5043204654 8405341090 12608011635 21013352725 25216023270 36142966687 42026705450 63040058175 72285933374 108428900061 126080116350 180714833435 216857800122 361429666870 542144500305 903574167175 1084289000610 1554147567541 1807148334350 2710722501525 3108295135082 4662442702623 5421445003050 7770737837705 9324885405246 15541475675410 23312213513115 38853689188525 46624427026230 77707378377050 116561067565575 233122135131150