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10030513440 = 2535192347819
BaseRepresentation
bin10010101011101110…
…10111110100100000
3221220001011212200210
421111313113310200
5131020302412230
64335152414120
7503364646263
oct112567276440
927801155623
1010030513440
114287a66232
121b3b247340
13c3b11206c
146b2226cda
153da8d8eb0
hex255dd7d20

10030513440 has 192 divisors, whose sum is σ = 34705843200. Its totient is φ = 2423798784.

The previous prime is 10030513433. The next prime is 10030513447. The reversal of 10030513440 is 4431503001.

It is an interprime number because it is at equal distance from previous prime (10030513433) and next prime (10030513447).

It is a super-2 number, since 2×100305134402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10030513447) 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, 185851 + ... + 233669.

It is an arithmetic number, because the mean of its divisors is an integer number (180759600).

Almost surely, 210030513440 is an apocalyptic number.

10030513440 is a gapful number since it is divisible by the number (10) 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 10030513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352921600).

10030513440 is an abundant number, since it is smaller than the sum of its proper divisors (24675329760).

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

10030513440 is a wasteful number, since it uses less digits than its factorization.

10030513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47879 (or 47871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 10030513440 in words is "ten billion, thirty million, five hundred thirteen thousand, four hundred forty".