Search a number
-
+
105157131211473 = 31128149123096011
BaseRepresentation
bin10111111010001111001101…
…011100111001001011010001
3111210022220221021112020122220
4113322033031130321023101
5102240343301042231343
61011352304050251253
731102231512152565
oct2772171534711321
9453286837466586
10105157131211473
1130562986145590
12b9641a6586b29
13468a376013603
141bd78bd09d6a5
15c255a1ba7183
hex5fa3cd7392d1

105157131211473 has 32 divisors (see below), whose sum is σ = 153812788268544. Its totient is φ = 63375451440000.

The previous prime is 105157131211459. The next prime is 105157131211487. The reversal of 105157131211473 is 374112131751501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105157131211459) and next prime (105157131211487).

It is not a de Polignac number, because 105157131211473 - 26 = 105157131211409 is a prime.

It is a super-2 number, since 2×1051571312114732 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105157131211073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994963 + ... + 16101048.

It is an arithmetic number, because the mean of its divisors is an integer number (4806649633392).

Almost surely, 2105157131211473 is an apocalyptic number.

It is an amenable number.

105157131211473 is a deficient number, since it is larger than the sum of its proper divisors (48655657057071).

105157131211473 is a wasteful number, since it uses less digits than its factorization.

105157131211473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23096797.

The product of its (nonzero) digits is 88200, while the sum is 42.

Adding to 105157131211473 its reverse (374112131751501), we get a palindrome (479269262962974).

The spelling of 105157131211473 in words is "one hundred five trillion, one hundred fifty-seven billion, one hundred thirty-one million, two hundred eleven thousand, four hundred seventy-three".

Divisors: 1 3 11 33 281 491 843 1473 3091 5401 9273 16203 137971 413913 1517681 4553043 23096011 69288033 254056121 762168363 6489979091 11340141401 19469937273 34020424203 71389770001 124741555411 214169310003 374224666233 3186579733681 9559739201043 35052377070491 105157131211473