Search a number
-
+
10132340001432 = 23311143472675129
BaseRepresentation
bin1001001101110001111010…
…0001101100101010011000
31022212122100012021212221220
42103130132201230222120
52312002013020021212
633314422134332040
72064015554655255
oct223343641545230
938778305255856
1010132340001432
113257112865930
1211778701ba020
13586624a6c58c
1427059d2ba42c
1512887342a38c
hex9371e86ca98

10132340001432 has 64 divisors (see below), whose sum is σ = 27635590972800. Its totient is φ = 3070190903040.

The previous prime is 10132340001431. The next prime is 10132340001437. The reversal of 10132340001432 is 23410004323101.

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 not an unprimeable number, because it can be changed into a prime (10132340001431) 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, 2450044 + ... + 5125172.

It is an arithmetic number, because the mean of its divisors is an integer number (431806108950).

Almost surely, 210132340001432 is an apocalyptic number.

10132340001432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132340001432 is an abundant number, since it is smaller than the sum of its proper divisors (17503250971368).

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

10132340001432 is a wasteful number, since it uses less digits than its factorization.

10132340001432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689496 (or 2689492 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10132340001432 its reverse (23410004323101), we get a palindrome (33542344324533).

The spelling of 10132340001432 in words is "ten trillion, one hundred thirty-two billion, three hundred forty million, one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 14347 28694 43041 57388 86082 114776 157817 172164 315634 344328 473451 631268 946902 1262536 1893804 2675129 3787608 5350258 8025387 10700516 16050774 21401032 29426419 32101548 58852838 64203096 88279257 117705676 176558514 235411352 353117028 706234056 38380075763 76760151526 115140227289 153520303052 230280454578 307040606104 422180833393 460560909156 844361666786 921121818312 1266542500179 1688723333572 2533085000358 3377446667144 5066170000716 10132340001432