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2313123130032 = 2431113615524483
BaseRepresentation
bin100001101010010000111…
…000011110101010110000
322012010120112020221211020
4201222100320132222300
5300344234010130112
64530344544215440
7326055230123631
oct41522070365260
98163515227736
102313123130032
11811a987819a0
1231437030a580
1313a185116480
147dd5484d888
154028281148c
hex21a90e1eab0

2313123130032 has 160 divisors (see below), whose sum is σ = 7135335142656. Its totient is φ = 636420326400.

The previous prime is 2313123130013. The next prime is 2313123130091. The reversal of 2313123130032 is 2300313213132.

It is a super-2 number, since 2×23131231300322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2313123129984 and 2313123130011.

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, 2343538 + ... + 3180945.

Almost surely, 22313123130032 is an apocalyptic number.

2313123130032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2313123130032 is an abundant number, since it is smaller than the sum of its proper divisors (4822212012624).

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

2313123130032 is a wasteful number, since it uses less digits than its factorization.

2313123130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524579 (or 5524573 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2313123130032 its reverse (2300313213132), we get a palindrome (4613436343164).

It can be divided in two parts, 2313123 and 130032, that added together give a triangular number (2443155 = T2210).

The spelling of 2313123130032 in words is "two trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 61 66 78 88 104 122 132 143 156 176 183 208 244 264 286 312 366 429 488 528 572 624 671 732 793 858 976 1144 1342 1464 1586 1716 2013 2288 2379 2684 2928 3172 3432 4026 4758 5368 6344 6864 8052 8723 9516 10736 12688 16104 17446 19032 26169 32208 34892 38064 52338 69784 104676 139568 209352 418704 5524483 11048966 16573449 22097932 33146898 44195864 60769313 66293796 71818279 88391728 121538626 132587592 143636558 182307939 215454837 243077252 265175184 287273116 336993463 364615878 430909674 486154504 574546232 673986926 729231756 790001069 861819348 972309008 1010980389 1149092464 1347973852 1458463512 1580002138 1723638696 2021960778 2370003207 2695947704 2916927024 3160004276 3447277392 3706928093 4043921556 4380915019 4740006414 5391895408 6320008552 7413856186 8087843112 8761830038 9480012828 11120784279 12640017104 13142745057 14827712372 16175686224 17523660076 18960025656 22241568558 26285490114 29655424744 35047320152 37920051312 44483137116 48190065209 52570980228 59310849488 70094640304 88966274232 96380130418 105141960456 144570195627 177932548464 192760260836 210283920912 289140391254 385520521672 578280782508 771041043344 1156561565016 2313123130032