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23142213012500 = 22551979397853
BaseRepresentation
bin1010100001100001101110…
…11000101100110000010100
310000221101002121121100021222
411100300313120230300110
511013130223012400000
6121115215204025512
74605653416651541
oct520606730546024
9100841077540258
1023142213012500
117412614a249aa
122719148392298
13cbb3bc01207a
145a0136649bc8
152a1eae738a85
hex150c3762cc14

23142213012500 has 72 divisors (see below), whose sum is σ = 50877312565464. Its totient is φ = 9209894960000.

The previous prime is 23142213012473. The next prime is 23142213012509. The reversal of 23142213012500 is 521031224132.

It can be written as a sum of positive squares in 12 ways, for example, as 23133194851204 + 9018161296 = 4809698^2 + 94964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23142213012500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142213012509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236427 + ... + 7161426.

It is an arithmetic number, because the mean of its divisors is an integer number (706629341187).

Almost surely, 223142213012500 is an apocalyptic number.

23142213012500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142213012500 is an abundant number, since it is smaller than the sum of its proper divisors (27735099552964).

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

23142213012500 is an equidigital number, since it uses as much as digits as its factorization.

23142213012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398079 (or 9398057 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 23142213012500 its reverse (521031224132), we get a palindrome (23663244236632).

The spelling of 23142213012500 in words is "twenty-three trillion, one hundred forty-two billion, two hundred thirteen million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 625 788 985 1250 1970 2500 3125 3940 4925 6250 9850 12500 19700 24625 49250 98500 123125 246250 492500 615625 1231250 2462500 9397853 18795706 37591412 46989265 93978530 187957060 234946325 469892650 939785300 1174731625 1851377041 2349463250 3702754082 4698926500 5873658125 7405508164 9256885205 11747316250 18513770410 23494632500 29368290625 37027540820 46284426025 58736581250 92568852050 117473162500 185137704100 231422130125 462844260250 925688520500 1157110650625 2314221301250 4628442602500 5785553253125 11571106506250 23142213012500