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10300868424 = 23327112533187
BaseRepresentation
bin10011001011111101…
…01100011101001000
3222120212220100000100
421211332230131020
5132044010242144
64422051205400
7513156636240
oct114576543510
928525810010
1010300868424
114406631a00
121bb58a6860
13c82130622
146da0c0b20
154044de269
hex265fac748

10300868424 has 288 divisors, whose sum is σ = 35718096960. Its totient is φ = 2624244480.

The previous prime is 10300868407. The next prime is 10300868471. The reversal of 10300868424 is 42486800301.

It is a super-2 number, since 2×103008684242 (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3230559 + ... + 3233745.

It is an arithmetic number, because the mean of its divisors is an integer number (124021170).

Almost surely, 210300868424 is an apocalyptic number.

10300868424 is a gapful number since it is divisible by the number (14) 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 10300868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859048480).

10300868424 is an abundant number, since it is smaller than the sum of its proper divisors (25417228536).

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

10300868424 is a wasteful number, since it uses less digits than its factorization.

10300868424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10300868424 in words is "ten billion, three hundred million, eight hundred sixty-eight thousand, four hundred twenty-four".