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101403244152 = 233273167157617
BaseRepresentation
bin101111001110000011…
…0101011011001111000
3100200201222002112100100
41132130012223121320
53130133212303102
6114330051235400
710216603232220
oct1363406533170
9320658075310
10101403244152
113a006540211
121779b8a8b60
139740455a22
144c9d579080
152987520a1c
hex179c1ab678

101403244152 has 384 divisors, whose sum is σ = 331458416640. Its totient is φ = 27398891520.

The previous prime is 101403244141. The next prime is 101403244157. The reversal of 101403244152 is 251442304101.

101403244152 is a `hidden beast` number, since 1 + 0 + 1 + 403 + 244 + 15 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403244157) 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, 164348548 + ... + 164349164.

It is an arithmetic number, because the mean of its divisors is an integer number (863172960).

Almost surely, 2101403244152 is an apocalyptic number.

101403244152 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 101403244152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165729208320).

101403244152 is an abundant number, since it is smaller than the sum of its proper divisors (230055172488).

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

101403244152 is a wasteful number, since it uses less digits than its factorization.

101403244152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101403244152 its reverse (251442304101), we get a palindrome (352845548253).

The spelling of 101403244152 in words is "one hundred one billion, four hundred three million, two hundred forty-four thousand, one hundred fifty-two".