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10341022131 = 32111575211277
BaseRepresentation
bin10011010000101111…
…10111100110110011
3222200200110100112200
421220113313212303
5132134300202011
64430043554243
7514155144366
oct115027674663
928620410480
1010341022131
114427267a90
12200722b983
13c8a54c10b
147015740dd
15407cc1856
hex2685f79b3

10341022131 has 48 divisors (see below), whose sum is σ = 16443075168. Its totient is φ = 6210547200.

The previous prime is 10341022127. The next prime is 10341022151. The reversal of 10341022131 is 13122014301.

10341022131 is a `hidden beast` number, since 1 + 0 + 3 + 410 + 221 + 31 = 666.

It is not a de Polignac number, because 10341022131 - 22 = 10341022127 is a prime.

It is a super-2 number, since 2×103410221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10341022121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8097265 + ... + 8098541.

It is an arithmetic number, because the mean of its divisors is an integer number (342564066).

Almost surely, 210341022131 is an apocalyptic number.

10341022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10341022131 is a deficient number, since it is larger than the sum of its proper divisors (6102053037).

10341022131 is a wasteful number, since it uses less digits than its factorization.

10341022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10341022131 its reverse (13122014301), we get a palindrome (23463036432).

It can be divided in two parts, 1034 and 1022131, that added together give a triangular number (1023165 = T1430).

The spelling of 10341022131 in words is "ten billion, three hundred forty-one million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 157 471 521 1277 1413 1563 1727 3831 4689 5181 5731 11493 14047 15543 17193 42141 51579 81797 126423 200489 245391 601467 665317 736173 899767 1804401 1995951 2205379 2699301 5987853 6616137 7318487 8097903 19848411 21955461 65866383 104454769 313364307 940092921 1149002459 3447007377 10341022131