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10121113310 = 2571127314813
BaseRepresentation
bin10010110110100001…
…11110111011011110
3222010100122211100112
421123100332323132
5131212001111220
64352150330022
7505545020660
oct113320767336
928110584315
1010121113310
114324117260
121b65659912
13c53b14059
146c028c530
153e38335c5
hex25b43eede

10121113310 has 64 divisors (see below), whose sum is σ = 22726393344. Its totient is φ = 3152822400.

The previous prime is 10121113291. The next prime is 10121113369. The reversal of 10121113310 is 1331112101.

It is a happy number.

It is a super-2 number, since 2×101211133102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100464 + ... + 2105276.

It is an arithmetic number, because the mean of its divisors is an integer number (355099896).

Almost surely, 210121113310 is an apocalyptic number.

10121113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121113310 is an abundant number, since it is smaller than the sum of its proper divisors (12605280034).

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

10121113310 is a wasteful number, since it uses less digits than its factorization.

10121113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10121113310 its reverse (1331112101), we get a palindrome (11452225411).

The spelling of 10121113310 in words is "ten billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 2731 4813 5462 9626 13655 19117 24065 27310 30041 33691 38234 48130 52943 60082 67382 95585 105886 150205 168455 191170 210287 264715 300410 336910 370601 420574 529430 741202 1051435 1853005 2102870 3706010 13144303 26288606 65721515 92010121 131443030 144587333 184020242 289174666 460050605 722936665 920101210 1012111331 1445873330 2024222662 5060556655 10121113310