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2313123203232 = 253261206363823
BaseRepresentation
bin100001101010010000111…
…000110000100010100000
322012010120112101200020100
4201222100320300202200
5300344234020000412
64530344545542400
7326055230550222
oct41522070604240
98163515350210
102313123203232
11811a98821996
12314370344a00
1313a18514089a
147dd5486c412
1540282827edc
hex21a90e308a0

2313123203232 has 144 divisors (see below), whose sum is σ = 6689124868608. Its totient is φ = 758021552640.

The previous prime is 2313123203221. The next prime is 2313123203249. The reversal of 2313123203232 is 2323023213132.

2313123203232 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 12 + 320 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2313123203196 and 2313123203205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36210873 + ... + 36274695.

It is an arithmetic number, because the mean of its divisors is an integer number (46452256032).

Almost surely, 22313123203232 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 2313123203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344562434304).

2313123203232 is an abundant number, since it is smaller than the sum of its proper divisors (4376001665376).

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

2313123203232 is a wasteful number, since it uses less digits than its factorization.

2313123203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65963 (or 65952 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2313123203232 its reverse (2323023213132), we get a palindrome (4636146416364).

The spelling of 2313123203232 in words is "two trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2063 2196 2928 4126 4392 5856 6189 8252 8784 12378 16504 17568 18567 24756 33008 37134 49512 63823 66016 74268 99024 125843 127646 148536 191469 198048 251686 255292 297072 377529 382938 503372 510584 574407 594144 755058 765876 1006744 1021168 1132587 1148814 1510116 1531752 2013488 2042336 2265174 2297628 3020232 3063504 3893203 4026976 4530348 4595256 6040464 6127008 7786406 9060696 9190512 11679609 12080928 15572812 18121392 18381024 23359218 31145624 35038827 36242784 46718436 62291248 70077654 93436872 124582496 131666849 140155308 186873744 263333698 280310616 373747488 395000547 526667396 560621232 790001094 1053334792 1121242464 1185001641 1580002188 2106669584 2370003282 3160004376 4213339168 4740006564 6320008752 8031677789 9480013128 12640017504 16063355578 18960026256 24095033367 32126711156 37920052512 48190066734 64253422312 72285100101 96380133468 128506844624 144570200202 192760266936 257013689248 289140400404 385520533872 578280800808 771041067744 1156561601616 2313123203232