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2132100456 = 2331312692521
BaseRepresentation
bin111111100010101…
…0100010101101000
312111120220220222120
41333011110111220
513331304203311
6551322151240
7103556361213
oct17705242550
95446826876
102132100456
119a45736a2
124b6052520
1327c949c05
1416324477a
15c72a8706
hex7f154568

2132100456 has 64 divisors (see below), whose sum is σ = 5393044800. Its totient is φ = 702374400.

The previous prime is 2132100419. The next prime is 2132100457. The reversal of 2132100456 is 6540012312.

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

It is not an unprimeable number, because it can be changed into a prime (2132100457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844476 + ... + 846996.

It is an arithmetic number, because the mean of its divisors is an integer number (84266325).

Almost surely, 22132100456 is an apocalyptic number.

It is an amenable number.

2132100456 is an abundant number, since it is smaller than the sum of its proper divisors (3260944344).

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

2132100456 is a wasteful number, since it uses less digits than its factorization.

2132100456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2132100456 is about 46174.6733177399. The cubic root of 2132100456 is about 1287.0711462756.

Adding to 2132100456 its reverse (6540012312), we get a palindrome (8672112768).

The spelling of 2132100456 in words is "two billion, one hundred thirty-two million, one hundred thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 131 262 269 393 524 538 786 807 1048 1076 1572 1614 2152 2521 3144 3228 5042 6456 7563 10084 15126 20168 30252 35239 60504 70478 105717 140956 211434 281912 330251 422868 660502 678149 845736 990753 1321004 1356298 1981506 2034447 2642008 2712596 3963012 4068894 5425192 7926024 8137788 16275576 88837519 177675038 266512557 355350076 533025114 710700152 1066050228 2132100456