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10330413132 = 22313591517433
BaseRepresentation
bin10011001111011110…
…11001100001001100
3222122221111100201210
421213233121201030
5132124041210012
64425024334420
7513666030354
oct114757314114
928587440653
1010330413132
114421281316
122003774410
13c882a62c0
146dddb1b64
15406dc823c
hex267bd984c

10330413132 has 96 divisors (see below), whose sum is σ = 26576847360. Its totient is φ = 3103603200.

The previous prime is 10330413127. The next prime is 10330413139. The reversal of 10330413132 is 23131403301.

It is a super-4 number, since 4×103304131324 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10330413099 and 10330413108.

It is not an unprimeable number, because it can be changed into a prime (10330413139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386088 + ... + 1393520.

It is an arithmetic number, because the mean of its divisors is an integer number (276842160).

Almost surely, 210330413132 is an apocalyptic number.

10330413132 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 10330413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288423680).

10330413132 is an abundant number, since it is smaller than the sum of its proper divisors (16246434228).

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

10330413132 is a wasteful number, since it uses less digits than its factorization.

10330413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10330413132 its reverse (23131403301), we get a palindrome (33461816433).

The spelling of 10330413132 in words is "ten billion, three hundred thirty million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 151 156 177 236 302 354 453 604 708 767 906 1534 1812 1963 2301 3068 3926 4602 5889 7433 7852 8909 9204 11778 14866 17818 22299 23556 26727 29732 35636 44598 53454 89196 96629 106908 115817 193258 231634 289887 347451 386516 438547 463268 579774 694902 877094 1122383 1159548 1315641 1389804 1754188 2244766 2631282 3367149 4489532 5262564 5701111 6734298 11402222 13468596 14590979 17103333 22804444 29181958 34206666 43772937 58363916 66220597 68413332 87545874 132441194 175091748 198661791 264882388 397323582 794647164 860867761 1721735522 2582603283 3443471044 5165206566 10330413132