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231243666342132 = 223103431673644999
BaseRepresentation
bin110100100101000010011100…
…100101101100000011110100
31010022202200022200221221102210
4310211002130211230003310
5220302144012040422012
62135451512422333420
766464542423343013
oct6445023445540364
91108680280857383
10231243666342132
116775498515a654
1221b286a3b8a270
139c052518060a2
1441163789a4a7a
151bb02a235423c
hexd2509c96c0f4

231243666342132 has 96 divisors (see below), whose sum is σ = 546883384320000. Its totient is φ = 76042477808640.

The previous prime is 231243666342127. The next prime is 231243666342253.

231243666342132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358195369 + ... + 358840367.

It is an arithmetic number, because the mean of its divisors is an integer number (5696701920000).

Almost surely, 2231243666342132 is an apocalyptic number.

It is an amenable number.

231243666342132 is an abundant number, since it is smaller than the sum of its proper divisors (315639717977868).

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

231243666342132 is a wasteful number, since it uses less digits than its factorization.

231243666342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646213 (or 646211 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 231243666342132 in words is "two hundred thirty-one trillion, two hundred forty-three billion, six hundred sixty-six million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 103 206 309 412 431 618 673 862 1236 1293 1346 1724 2019 2586 2692 4038 5172 8076 44393 69319 88786 133179 138638 177572 207957 266358 277276 290063 415914 532716 580126 644999 831828 870189 1160252 1289998 1740378 1934997 2579996 3480756 3869994 7739988 29876489 59752978 66434897 89629467 119505956 132869794 179258934 199304691 265739588 277994569 358517868 398609382 434084327 555989138 797218764 833983707 868168654 1111978276 1302252981 1667967414 1736337308 2604505962 3335934828 5209011924 28633440607 44710685681 57266881214 85900321821 89421371362 114533762428 134132057043 171800643642 178842742724 187090344937 268264114086 343601287284 374180689874 536528228172 561271034811 748361379748 1122542069622 2245084139244 19270305528511 38540611057022 57810916585533 77081222114044 115621833171066 231243666342132