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10302131112 = 23371323237241
BaseRepresentation
bin10011001100000111…
…00000101110101000
3222120222021111002120
421212003200232220
5132044321143422
64422134231240
7513203445450
oct114603405650
928528244076
1010302131112
114407314649
121bb61b5520
13c82483290
146da32cd60
1540468d45c
hex2660e0ba8

10302131112 has 384 divisors, whose sum is σ = 34173807360. Its totient is φ = 2518179840.

The previous prime is 10302131057. The next prime is 10302131123. The reversal of 10302131112 is 21113120301.

It is a happy number.

It is a super-2 number, since 2×103021311122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302131091 and 10302131100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42747312 + ... + 42747552.

It is an arithmetic number, because the mean of its divisors is an integer number (88994290).

Almost surely, 210302131112 is an apocalyptic number.

10302131112 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 10302131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086903680).

10302131112 is an abundant number, since it is smaller than the sum of its proper divisors (23871676248).

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

10302131112 is a wasteful number, since it uses less digits than its factorization.

10302131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10302131112 its reverse (21113120301), we get a palindrome (31415251413).

The spelling of 10302131112 in words is "ten billion, three hundred two million, one hundred thirty-one thousand, one hundred twelve".