Search a number
-
+
10103130013122 = 234269231840149
BaseRepresentation
bin1001001100000101000101…
…1110011011110111000010
31022202211221111112201220000
42103001101132123313002
52311012202240404442
633253151443100430
72061632660112426
oct223012136336702
938684844481800
1010103130013122
113245793560323
121172079971716
1358394b270c23
1426cdcbb5ab86
15127c13d53d4c
hex9305179bdc2

10103130013122 has 40 divisors (see below), whose sum is σ = 22722653101500. Its totient is φ = 3355190621856.

The previous prime is 10103130013057. The next prime is 10103130013201. The reversal of 10103130013122 is 22131003130101.

10103130013122 is a `hidden beast` number, since 10 + 10 + 31 + 300 + 1 + 312 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9609807800961 + 493322212161 = 3099969^2 + 702369^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10103130013095 and 10103130013104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115876497 + ... + 115963652.

Almost surely, 210103130013122 is an apocalyptic number.

10103130013122 is an abundant number, since it is smaller than the sum of its proper divisors (12619523088378).

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

10103130013122 is a wasteful number, since it uses less digits than its factorization.

10103130013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231840432 (or 231840423 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103130013122 its reverse (22131003130101), we get a palindrome (32234133143223).

The spelling of 10103130013122 in words is "ten trillion, one hundred three billion, one hundred thirty million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 807 1614 2421 4842 7263 14526 21789 43578 231840149 463680298 695520447 1391040894 2086561341 4173122682 6259684023 12519368046 18779052069 37558104138 62365000081 124730000162 187095000243 374190000486 561285000729 1122570001458 1683855002187 3367710004374 5051565006561 10103130013122