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106431317910 = 232511310465223
BaseRepresentation
bin110001100011111001…
…1010000011110010110
3101011201101022010212100
41203013303100132112
53220432404133120
6120521024302530
710455316163331
oct1430763203626
9334641263770
10106431317910
1141156782475
1218763771a46
13a0620638b8
145219267618
152b7db70490
hex18c7cd0796

106431317910 has 48 divisors (see below), whose sum is σ = 279170315424. Its totient is φ = 28130516736.

The previous prime is 106431317899. The next prime is 106431317917. The reversal of 106431317910 is 19713134601.

106431317910 is a `hidden beast` number, since 1 + 0 + 643 + 1 + 3 + 1 + 7 + 9 + 1 + 0 = 666.

It is a super-2 number, since 2×1064313179102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431317917) 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 23 ways as a sum of consecutive naturals, for example, 5222442 + ... + 5242781.

It is an arithmetic number, because the mean of its divisors is an integer number (5816048238).

Almost surely, 2106431317910 is an apocalyptic number.

106431317910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106431317910 is an abundant number, since it is smaller than the sum of its proper divisors (172738997514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106431317910 is a wasteful number, since it uses less digits than its factorization.

106431317910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465349 (or 10465346 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 106431317910 in words is "one hundred six billion, four hundred thirty-one million, three hundred seventeen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10465223 20930446 31395669 52326115 62791338 94187007 104652230 156978345 188374014 313956690 470935035 941870070 1182570199 2365140398 3547710597 5912850995 7095421194 10643131791 11825701990 17738552985 21286263582 35477105970 53215658955 106431317910