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231405105120 = 2535780118597
BaseRepresentation
bin1101011110000011010…
…0011010111111100000
3211010022000112022201220
43113200310122333200
512242404201330440
6254150034255040
722501301640150
oct3274064327740
9733260468656
10231405105120
118a158170532
1238a21127480
1318a8a82c607
14b2b2daa760
1560456008d0
hex35e0d1afe0

231405105120 has 192 divisors, whose sum is σ = 833259280896. Its totient is φ = 52879841280.

The previous prime is 231405105109. The next prime is 231405105161. The reversal of 231405105120 is 21501504132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26912662 + ... + 26921258.

It is an arithmetic number, because the mean of its divisors is an integer number (4339892088).

Almost surely, 2231405105120 is an apocalyptic number.

231405105120 is a gapful number since it is divisible by the number (20) 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 231405105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416629640448).

231405105120 is an abundant number, since it is smaller than the sum of its proper divisors (601854175776).

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

231405105120 is a wasteful number, since it uses less digits than its factorization.

231405105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16633 (or 16625 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 231405105120 its reverse (21501504132), we get a palindrome (252906609252).

The spelling of 231405105120 in words is "two hundred thirty-one billion, four hundred five million, one hundred five thousand, one hundred twenty".