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10013120100 = 22335259239263
BaseRepresentation
bin10010101001101010…
…00001011001100100
3221211211110012112000
421110311001121210
5131001324320400
64333331525300
7503064054654
oct112465013144
927754405460
1010013120100
114279166375
121b35459830
13c37632249
146adbba364
153d9100600
hex254d41664

10013120100 has 288 divisors, whose sum is σ = 32997888000. Its totient is φ = 2603986560.

The previous prime is 10013120093. The next prime is 10013120107. The reversal of 10013120100 is 102131001.

It is an interprime number because it is at equal distance from previous prime (10013120093) and next prime (10013120107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10013120107) 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, 38072569 + ... + 38072831.

It is an arithmetic number, because the mean of its divisors is an integer number (114576000).

Almost surely, 210013120100 is an apocalyptic number.

10013120100 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 10013120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

10013120100 is an abundant number, since it is smaller than the sum of its proper divisors (22984767900).

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

10013120100 is a wasteful number, since it uses less digits than its factorization.

10013120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10013120100 its reverse (102131001), we get a palindrome (10115251101).

The spelling of 10013120100 in words is "ten billion, thirteen million, one hundred twenty thousand, one hundred".