Search a number
-
+
10031668453161 = 35416431565929
BaseRepresentation
bin1001000111111010111000…
…0010001101111100101001
31022112000111020000100200000
42101332232002031330221
52303324324111000121
633200252421533213
72053523044635135
oct221765602157451
938460436010600
1010031668453161
113218452353663
121160255574209
13579ca00a2ac4
1426976cdaa3c5
15125e3028d526
hex91fae08df29

10031668453161 has 48 divisors (see below), whose sum is σ = 15417319968960. Its totient is φ = 6514511028480.

The previous prime is 10031668453109. The next prime is 10031668453171. The reversal of 10031668453161 is 16135486613001.

10031668453161 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 6 + 6 + 8 + 453 + 161 = 666.

It is not a de Polignac number, because 10031668453161 - 27 = 10031668453033 is a prime.

It is a super-2 number, since 2×100316684531612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10031668453171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5623245 + ... + 7189173.

It is an arithmetic number, because the mean of its divisors is an integer number (321194166020).

Almost surely, 210031668453161 is an apocalyptic number.

It is an amenable number.

10031668453161 is a deficient number, since it is larger than the sum of its proper divisors (5385651515799).

10031668453161 is an equidigital number, since it uses as much as digits as its factorization.

10031668453161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566628 (or 1566616 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10031668453161 in words is "ten trillion, thirty-one billion, six hundred sixty-eight million, four hundred fifty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 27 41 81 123 243 369 643 1107 1929 3321 5787 9963 17361 26363 52083 79089 156249 237267 711801 1565929 2135403 4697787 6406209 14093361 42280083 64203089 126840249 192609267 380520747 577827801 1006892347 1733483403 3020677041 5200450209 9062031123 15601350627 27186093369 41282586227 81558280107 123847758681 244674840321 371543276043 1114629828129 3343889484387 10031668453161