Search a number
-
+
23000200131321 = 35743463679169
BaseRepresentation
bin1010011101011001001101…
…10000100011001011111001
310000102210112111022111200000
411032230212300203023321
511003313402213200241
6120530051315103213
74562465254251150
oct516544660431371
9100383474274600
1023000200131321
11736836a3a63a6
1226b57145a1b09
13caaba941592a
1459730396c597
1529d44be5ceb6
hex14eb26c232f9

23000200131321 has 96 divisors (see below), whose sum is σ = 40377601904640. Its totient is φ = 12809575747584.

The previous prime is 23000200131313. The next prime is 23000200131343. The reversal of 23000200131321 is 12313100200032.

23000200131321 is a `hidden beast` number, since 2 + 300 + 0 + 200 + 131 + 32 + 1 = 666.

It is not a de Polignac number, because 23000200131321 - 23 = 23000200131313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23000200131294 and 23000200131303.

It is not an unprimeable number, because it can be changed into a prime (23000200131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33525625 + ... + 34204793.

It is an arithmetic number, because the mean of its divisors is an integer number (420600019840).

Almost surely, 223000200131321 is an apocalyptic number.

23000200131321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23000200131321 is a deficient number, since it is larger than the sum of its proper divisors (17377401773319).

23000200131321 is an equidigital number, since it uses as much as digits as its factorization.

23000200131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679697 (or 679685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23000200131321 its reverse (12313100200032), we get a palindrome (35313300331353).

The spelling of 23000200131321 in words is "twenty-three trillion, two hundred million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 243 301 387 463 567 903 1161 1389 1701 2709 3241 3483 4167 8127 9723 10449 12501 19909 24381 29169 37503 59727 73143 87507 112509 139363 179181 262521 418089 537543 679169 787563 1254267 1612629 2037507 3762801 4754183 4837887 6112521 11288403 14262549 18337563 29204267 33865209 42787647 55012689 87612801 128362941 165038067 204429869 262838403 314455247 385088823 613289607 788515209 943365741 1155266469 1839868821 2201186729 2365545627 2830097223 5519606463 6603560187 7096636881 8490291669 13521575621 16558819389 19810680561 25470875007 40564726863 49676458167 59432041683 76412625021 94651029347 121694180589 178296125049 283953088041 365082541767 534888375147 851859264123 1095247625301 2555577792369 3285742875903 7666733377107 23000200131321