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100060124472 = 233371113074603
BaseRepresentation
bin101110100110000001…
…1000101010100111000
3100120021100202222112000
41131030003011110320
53114410342440342
6113544511421000
710141404011340
oct1351403052470
9316240688460
10100060124472
1139487371550
1217485b24760
139588101259
144bb3031d20
15290966444c
hex174c0c5538

100060124472 has 256 divisors, whose sum is σ = 346869043200. Its totient is φ = 25964115840.

The previous prime is 100060124471. The next prime is 100060124473. The reversal of 100060124472 is 274421060001.

100060124472 is a `hidden beast` number, since 10 + 0 + 0 + 60 + 124 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (100060124471) and next prime (100060124473).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100060124471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21735723 + ... + 21740325.

It is an arithmetic number, because the mean of its divisors is an integer number (1354957200).

Almost surely, 2100060124472 is an apocalyptic number.

100060124472 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 100060124472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173434521600).

100060124472 is an abundant number, since it is smaller than the sum of its proper divisors (246808918728).

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

100060124472 is a wasteful number, since it uses less digits than its factorization.

100060124472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 100060124472 its reverse (274421060001), we get a palindrome (374481184473).

The spelling of 100060124472 in words is "one hundred billion, sixty million, one hundred twenty-four thousand, four hundred seventy-two".