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202320000212121 = 321140943787114113
BaseRepresentation
bin101110000000001001001011…
…101111100101110010011001
3222112100121021200022222111200
4232000021023233211302121
5203004302330023241441
61554144305221344413
760421065132614451
oct5600111357456231
9875317250288450
10202320000212121
1159513480714860
121a836b7a868109
1388b79040a219c
1437d64a9954d61
15185cc1a4d97b6
hexb8024bbe5c99

202320000212121 has 48 divisors (see below), whose sum is σ = 319596852294720. Its totient is φ = 122314516623360.

The previous prime is 202320000212107. The next prime is 202320000212123. The reversal of 202320000212121 is 121212000023202.

202320000212121 is a `hidden beast` number, since 202 + 320 + 0 + 0 + 0 + 2 + 121 + 21 = 666.

It is not a de Polignac number, because 202320000212121 - 27 = 202320000211993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202320000212094 and 202320000212103.

It is not an unprimeable number, because it can be changed into a prime (202320000212123) 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 47 ways as a sum of consecutive naturals, for example, 1772922361 + ... + 1773036473.

It is an arithmetic number, because the mean of its divisors is an integer number (6658267756140).

Almost surely, 2202320000212121 is an apocalyptic number.

It is an amenable number.

202320000212121 is a deficient number, since it is larger than the sum of its proper divisors (117276852082599).

202320000212121 is a wasteful number, since it uses less digits than its factorization.

202320000212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158326 (or 158323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202320000212121 its reverse (121212000023202), we get a palindrome (323532000235323).

The spelling of 202320000212121 in words is "two hundred two trillion, three hundred twenty billion, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 409 1227 3681 4499 13497 40491 43787 114113 131361 342339 394083 481657 1027017 1255243 1444971 3765729 4334913 11297187 17908883 46672217 53726649 140016651 161179947 196997713 420049953 513394387 590993139 1540183161 1772979417 4620549483 4996665931 14989997793 44969993379 54963325241 164889975723 494669927169 2043636365779 6130909097337 18392727292011 22480000023569 67440000070707 202320000212121