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212431440401131 = 75322718043139801
BaseRepresentation
bin110000010011010010001100…
…100010110101001011101011
31000212011020200022221101121211
4300103102030202311023223
5210320434042220314011
62031445353444413551
762513444061251230
oct6023221442651353
91025136608841554
10212431440401131
1161761739037236
121b9aa7776a72b7
13916c277c07943
143a65a4523b787
151985c68ba7b21
hexc1348c8b52eb

212431440401131 has 32 divisors (see below), whose sum is σ = 248464757518848. Its totient is φ = 177850415059200.

The previous prime is 212431440401119. The next prime is 212431440401149. The reversal of 212431440401131 is 131104044134212.

It is a cyclic number.

It is not a de Polignac number, because 212431440401131 - 25 = 212431440401099 is a prime.

It is a super-2 number, since 2×2124314404011312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212431440401093 and 212431440401102.

It is not an unprimeable number, because it can be changed into a prime (212431440401161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519457431 + ... + 1519597231.

It is an arithmetic number, because the mean of its divisors is an integer number (7764523672464).

Almost surely, 2212431440401131 is an apocalyptic number.

212431440401131 is a deficient number, since it is larger than the sum of its proper divisors (36033317117717).

212431440401131 is a wasteful number, since it uses less digits than its factorization.

212431440401131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158131.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 212431440401131 its reverse (131104044134212), we get a palindrome (343535484535343).

The spelling of 212431440401131 in words is "two hundred twelve trillion, four hundred thirty-one billion, four hundred forty million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 7 53 227 371 1589 12031 18043 84217 126301 139801 956279 978607 4095761 6693953 7409453 28670327 31734827 51866171 217075333 222143789 1519527331 1681945831 2522429443 11773620817 17657006101 133688760479 572591483561 935821323353 4008140384927 30347348628733 212431440401131