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23020133230032 = 2437149991135119
BaseRepresentation
bin1010011101111110010101…
…10111010010010111010000
310000111200222122221211121020
411032333022313102113100
511004130213101330112
6120543145254355440
74564102234635441
oct516771267222720
9100450878854536
1023020133230032
1173758690904a4
1226b955805bb80
13caca34c982b3
14598274ddb2c8
1529dc16db148c
hex14efcadd25d0

23020133230032 has 80 divisors (see below), whose sum is σ = 60307917189120. Its totient is φ = 7565094678400.

The previous prime is 23020133230013. The next prime is 23020133230033. The reversal of 23020133230032 is 23003233102032.

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 = 23020133229984 and 23020133230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23020133230033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170301769 + ... + 170436887.

It is an arithmetic number, because the mean of its divisors is an integer number (753848964864).

Almost surely, 223020133230032 is an apocalyptic number.

It is an amenable number.

23020133230032 is an abundant number, since it is smaller than the sum of its proper divisors (37287783959088).

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

23020133230032 is a wasteful number, since it uses less digits than its factorization.

23020133230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185192 (or 185186 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23020133230032 its reverse (23003233102032), we get a palindrome (46023366332064).

The spelling of 23020133230032 in words is "twenty-three trillion, twenty billion, one hundred thirty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 49991 99982 135119 149973 199964 270238 299946 399928 405357 540476 599892 799856 810714 1080952 1199784 1621428 2161904 2399568 3242856 3549361 6485712 7098722 9593449 10648083 14197444 19186898 21296166 28394888 28780347 38373796 42592332 56789776 57560694 76747592 85184664 115121388 153495184 170369328 230242776 460485552 6754733929 13509467858 20264201787 27018935716 40528403574 54037871432 81056807148 108075742864 162113614296 324227228592 479586108959 959172217918 1438758326877 1918344435836 2877516653754 3836688871672 5755033307508 7673377743344 11510066615016 23020133230032