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232111010131 = 71121332096569
BaseRepresentation
bin1101100000101011100…
…1001111000101010011
3211012010012211000100221
43120022321033011103
512300330404311011
6254344052253511
722524633014230
oct3301271170523
9735105730327
10232111010131
118a48a683400
1238b99611297
1318b70b586a0
14b33ca40787
15608758c971
hex360ae4f153

232111010131 has 48 divisors (see below), whose sum is σ = 314152171200. Its totient is φ = 166875540480.

The previous prime is 232111010111. The next prime is 232111010137. The reversal of 232111010131 is 131010111232.

It is a happy number.

232111010131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232111010131 - 29 = 232111009619 is a prime.

It is a super-2 number, since 2×2321110101312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232111010137) 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 47 ways as a sum of consecutive naturals, for example, 35331015 + ... + 35337583.

It is an arithmetic number, because the mean of its divisors is an integer number (6544836900).

Almost surely, 2232111010131 is an apocalyptic number.

232111010131 is a deficient number, since it is larger than the sum of its proper divisors (82041161069).

232111010131 is a wasteful number, since it uses less digits than its factorization.

232111010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 232111010131 its reverse (131010111232), we get a palindrome (363121121363).

The spelling of 232111010131 in words is "two hundred thirty-two billion, one hundred eleven million, ten thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 3209 6569 11011 22463 35299 41717 45983 72259 85397 247093 292019 388289 458887 505813 597779 794849 939367 2718023 3212209 5047757 5563943 6575569 10333037 21079921 35334299 72331259 147559447 231879131 274038973 1623153917 1918272811 2550670441 3014428703 17854693087 21101000921 33158715733 232111010131