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101124323040 = 25351371228251
BaseRepresentation
bin101111000101101111…
…0101011011011100000
3100200000112020212111210
41132023132223123200
53124100311314130
6114242245110120
710206645364146
oct1361336533340
9320015225453
10101124323040
11399830536a4
12177223b8340
1396c7728450
144c744d1596
15296ccc75b0
hex178b7ab6e0

101124323040 has 192 divisors, whose sum is σ = 347877960192. Its totient is φ = 24541440000.

The previous prime is 101124323033. The next prime is 101124323051. The reversal of 101124323040 is 40323421101.

It is a super-2 number, since 2×1011243230402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101124322998 and 101124323016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328915 + ... + 557165.

It is an arithmetic number, because the mean of its divisors is an integer number (1811864376).

Almost surely, 2101124323040 is an apocalyptic number.

101124323040 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 101124323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173938980096).

101124323040 is an abundant number, since it is smaller than the sum of its proper divisors (246753637152).

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

101124323040 is a wasteful number, since it uses less digits than its factorization.

101124323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228353 (or 228345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101124323040 its reverse (40323421101), we get a palindrome (141447744141).

The spelling of 101124323040 in words is "one hundred one billion, one hundred twenty-four million, three hundred twenty-three thousand, forty".