Search a number
-
+
2023033121312 = 257127201735257
BaseRepresentation
bin11101011100000110001…
…010111010101000100000
321011101210122201122110012
4131130012022322220200
5231121132434340222
64145211340424052
7266105434543160
oct35340612725040
97141718648405
102023033121312
1170aa66502835
122880b1848028
13118a0444c138
146dcb59205a0
15379551811e2
hex1d7062baa20

2023033121312 has 96 divisors (see below), whose sum is σ = 4590070345728. Its totient is φ = 859736457216.

The previous prime is 2023033121293. The next prime is 2023033121393. The reversal of 2023033121312 is 2131213303202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57361988 + ... + 57397244.

It is an arithmetic number, because the mean of its divisors is an integer number (47813232768).

Almost surely, 22023033121312 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 2023033121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295035172864).

2023033121312 is an abundant number, since it is smaller than the sum of its proper divisors (2567037224416).

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

2023033121312 is a wasteful number, since it uses less digits than its factorization.

2023033121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37418 (or 37410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2023033121312 its reverse (2131213303202), we get a palindrome (4154246424514).

The spelling of 2023033121312 in words is "two trillion, twenty-three billion, thirty-three million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1016 1778 2017 2032 3556 4034 4064 7112 8068 14119 14224 16136 28238 28448 32272 35257 56476 64544 70514 112952 141028 225904 246799 256159 282056 451808 493598 512318 564112 987196 1024636 1128224 1793113 1974392 2049272 3586226 3948784 4098544 4477639 7172452 7897568 8197088 8955278 14344904 17910556 28689808 31343473 35821112 57379616 62686946 71113369 71642224 125373892 142226738 143284448 250747784 284453476 497793583 501495568 568906952 995587166 1002991136 1137813904 1991174332 2275627808 3982348664 7964697328 9031397863 15929394656 18062795726 36125591452 63219785041 72251182904 126439570082 144502365808 252879140164 289004731616 505758280328 1011516560656 2023033121312