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10310102472 = 2331789499569
BaseRepresentation
bin10011001101000011…
…11010110111001000
3222121112021110202010
421212201322313020
5132103341234342
64423021135520
7513331265535
oct114641726710
928545243663
1010310102472
11441086964a
121bb89ba5a0
13c84014667
146db405d8c
1540521529c
hex26687adc8

10310102472 has 128 divisors (see below), whose sum is σ = 27702000000. Its totient is φ = 3186180096.

The previous prime is 10310102437. The next prime is 10310102479. The reversal of 10310102472 is 27420101301.

10310102472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10310102479) 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, 18119404 + ... + 18119972.

It is an arithmetic number, because the mean of its divisors is an integer number (216421875).

Almost surely, 210310102472 is an apocalyptic number.

10310102472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310102472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851000000).

10310102472 is an abundant number, since it is smaller than the sum of its proper divisors (17391897528).

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

10310102472 is a wasteful number, since it uses less digits than its factorization.

10310102472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10310102472 its reverse (27420101301), we get a palindrome (37730203773).

The spelling of 10310102472 in words is "ten billion, three hundred ten million, one hundred two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 499 534 569 712 998 1068 1138 1497 1513 1707 1996 2136 2276 2994 3026 3414 3992 4539 4552 5988 6052 6828 8483 9078 9673 11976 12104 13656 16966 18156 19346 25449 29019 33932 36312 38692 44411 50641 50898 58038 67864 77384 88822 101282 101796 116076 133233 151923 177644 202564 203592 232152 266466 283931 303846 355288 405128 532932 567862 607692 754987 851793 860897 1065864 1135724 1215384 1509974 1703586 1721794 2264961 2271448 2582691 3019948 3407172 3443588 4529922 4826827 5165382 6039896 6814344 6887176 9059844 9653654 10330764 14480481 18119688 19307308 20661528 25269859 28960962 38614616 50539718 57921924 75809577 101079436 115843848 151619154 202158872 303238308 429587603 606476616 859175206 1288762809 1718350412 2577525618 3436700824 5155051236 10310102472