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23302021124040 = 23352295741147703
BaseRepresentation
bin1010100110001011011001…
…01100010000111111001000
310001111122120220202112210220
411103011230230100333020
511023240014401432130
6121320444542310040
74623341543333301
oct523055454207710
9101448526675726
1023302021124040
11747437149545a
122744107888320
1310004a95a4809
145a7b7688d7a8
152a6214420410
hex15316cb10fc8

23302021124040 has 128 divisors (see below), whose sum is σ = 70224035270400. Its totient is φ = 6185617966080.

The previous prime is 23302021124023. The next prime is 23302021124059. The reversal of 23302021124040 is 4042112020332.

It is a happy number.

It is a super-3 number, since 3×233020211240403 (a number of 41 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23302021124040.

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, 157688829 + ... + 157836531.

It is an arithmetic number, because the mean of its divisors is an integer number (548625275550).

Almost surely, 223302021124040 is an apocalyptic number.

23302021124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23302021124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112017635200).

23302021124040 is an abundant number, since it is smaller than the sum of its proper divisors (46922014146360).

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

23302021124040 is a wasteful number, since it uses less digits than its factorization.

23302021124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153687 (or 153683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23302021124040 its reverse (4042112020332), we get a palindrome (27344133144372).

The spelling of 23302021124040 in words is "twenty-three trillion, three hundred two billion, twenty-one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2748 3435 4580 5496 5741 6870 9160 11482 13740 17223 22964 27480 28705 34446 45928 57410 68892 86115 114820 137784 147703 172230 229640 295406 344460 443109 590812 688920 738515 886218 1181624 1314689 1477030 1772436 2215545 2629378 2954060 3544872 3944067 4431090 5258756 5908120 6573445 7888134 8862180 10517512 13146890 15776268 17724360 19720335 26293780 31552536 33823987 39440670 52587560 67647974 78881340 101471961 135295948 157762680 169119935 202943922 270591896 338239870 405887844 507359805 676479740 811775688 847962923 1014719610 1352959480 1695925846 2029439220 2543888769 3391851692 4058878440 4239814615 5087777538 6783703384 8479629230 10175555076 12719443845 16959258460 20351110152 25438887690 33918516920 50877775380 101755550760 194183509367 388367018734 582550528101 776734037468 970917546835 1165101056202 1553468074936 1941835093670 2330202112404 2912752640505 3883670187340 4660404224808 5825505281010 7767340374680 11651010562020 23302021124040