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10334434231 = 11101149163383
BaseRepresentation
bin10011001111111101…
…01111001110110111
3222200020001122122101
421213332233032313
5132131103343411
64425250442531
7514045145602
oct114776571667
928606048571
1010334434231
114423578440
122004b93447
13c89083654
1470073b339
1540741e8c1
hex267faf3b7

10334434231 has 32 divisors (see below), whose sum is σ = 11562393600. Its totient is φ = 9158832000.

The previous prime is 10334434219. The next prime is 10334434247. The reversal of 10334434231 is 13243443301.

It is a cyclic number.

It is not a de Polignac number, because 10334434231 - 221 = 10332337079 is a prime.

It is a super-2 number, since 2×103344342312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10334434231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334474231) 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, 26982666 + ... + 26983048.

It is an arithmetic number, because the mean of its divisors is an integer number (361324800).

Almost surely, 210334434231 is an apocalyptic number.

10334434231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10334434231 is a deficient number, since it is larger than the sum of its proper divisors (1227959369).

10334434231 is a wasteful number, since it uses less digits than its factorization.

10334434231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10334434231 its reverse (13243443301), we get a palindrome (23577877532).

The spelling of 10334434231 in words is "ten billion, three hundred thirty-four million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 11 101 149 163 383 1111 1639 1793 4213 15049 16463 24287 38683 57067 62429 165539 181093 267157 425513 627737 686719 2452987 5763767 6305329 9301921 26982857 63401437 69358619 102321131 939494021 10334434231