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10101313110 = 2357311551661
BaseRepresentation
bin10010110100001010…
…11100111001010110
3222001222101212120210
421122011130321112
5131141414004420
64350202110250
7505214513310
oct113205347126
928058355523
1010101313110
114313a23059
121b5aaab386
13c4c9a0865
146bb7b67b0
153e1c219e0
hex25a15ce56

10101313110 has 64 divisors (see below), whose sum is σ = 28600233984. Its totient is φ = 2234390400.

The previous prime is 10101313109. The next prime is 10101313111. The reversal of 10101313110 is 1131310101.

10101313110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10101313109) and next prime (10101313111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769321 + ... + 782340.

It is an arithmetic number, because the mean of its divisors is an integer number (446878656).

Almost surely, 210101313110 is an apocalyptic number.

10101313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101313110 is an abundant number, since it is smaller than the sum of its proper divisors (18498920874).

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

10101313110 is a wasteful number, since it uses less digits than its factorization.

10101313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551709.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10101313110 its reverse (1131310101), we get a palindrome (11232623211).

The spelling of 10101313110 in words is "ten billion, one hundred one million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 1551661 3103322 4654983 7758305 9309966 10861627 15516610 21723254 23274915 32584881 46549830 48101491 54308135 65169762 96202982 108616270 144304473 162924405 240507455 288608946 325848810 336710437 481014910 673420874 721522365 1010131311 1443044730 1683552185 2020262622 3367104370 5050656555 10101313110