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231212212230132 = 223275941161377809
BaseRepresentation
bin110100100100100101001001…
…110001110001011111110100
31010022122200010121111111101200
4310210211021301301133310
5220301140102312331012
62135425231323452500
766462350105656410
oct6444451161613764
91108580117444350
10231212212230132
1167742604128771
1221b22586087130
139c022ab0c75b3
144114a3339dd40
151bae560c473dc
hexd24949c717f4

231212212230132 has 144 divisors (see below), whose sum is σ = 679285816809600. Its totient is φ = 64939210721280.

The previous prime is 231212212230127. The next prime is 231212212230169. The reversal of 231212212230132 is 231032212212132.

231212212230132 is a `hidden beast` number, since 2 + 3 + 1 + 212 + 212 + 230 + 1 + 3 + 2 = 666.

231212212230132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231212212230096 and 231212212230105.

It is a congruent number.

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, 611792844 + ... + 612170652.

Almost surely, 2231212212230132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231212212230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339642908404800).

231212212230132 is an abundant number, since it is smaller than the sum of its proper divisors (448073604579468).

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

231212212230132 is a wasteful number, since it uses less digits than its factorization.

231212212230132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419046 (or 419041 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 231212212230132 its reverse (231032212212132), we get a palindrome (462244424442264).

The spelling of 231212212230132 in words is "two hundred thirty-one trillion, two hundred twelve billion, two hundred twelve million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 41161 82322 123483 164644 246966 288127 370449 377809 493932 576254 740898 755618 864381 1133427 1152508 1481796 1511236 1728762 2266854 2428499 2593143 2644663 3400281 3457524 4533708 4856998 5186286 5289326 6800562 7285497 7933989 9713996 10372572 10578652 13601124 14570994 15867978 16999493 21856491 22290731 23801967 29141988 31735956 33998986 43712982 44581462 47603934 50998479 66872193 67997972 87425964 89162924 95207868 101996958 133744386 152995437 156035117 200616579 203993916 267488772 305990874 312070234 401233158 468105351 611981748 624140468 802466316 936210702 1404316053 1872421404 2808632106 5617264212 15550996249 31101992498 46652988747 62203984996 93305977494 108856973743 139958966241 186611954988 217713947486 279917932482 326570921229 435427894972 559835864964 653141842458 917508778691 979712763687 1306283684916 1835017557382 1959425527374 2752526336073 3670035114764 3918851054748 5505052672146 6422561450837 8257579008219 11010105344292 12845122901674 16515158016438 19267684352511 25690245803348 33030316032876 38535368705022 57803053057533 77070737410044 115606106115066 231212212230132