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10030697820 = 2232511131812153
BaseRepresentation
bin10010101011110000…
…00100110101011100
3221220001112020121200
421111320010311130
5131020324312240
64335200355500
7503366344653
oct112570046534
927801466550
1010030697820
114288081810
121b3b315b90
13c3b177c70
146b227419a
153da923930
hex255e04d5c

10030697820 has 288 divisors, whose sum is σ = 35959944384. Its totient is φ = 2231193600.

The previous prime is 10030697801. The next prime is 10030697821. The reversal of 10030697820 is 2879603001.

It is a super-2 number, since 2×100306978202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030697821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4657864 + ... + 4660016.

It is an arithmetic number, because the mean of its divisors is an integer number (124860918).

Almost surely, 210030697820 is an apocalyptic number.

10030697820 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 10030697820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979972192).

10030697820 is an abundant number, since it is smaller than the sum of its proper divisors (25929246564).

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

10030697820 is a wasteful number, since it uses less digits than its factorization.

10030697820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10030697820 in words is "ten billion, thirty million, six hundred ninety-seven thousand, eight hundred twenty".