Search a number
-
+
103011030332322 = 23729547154614107
BaseRepresentation
bin10111011011000000011111…
…110111101111001110100010
3111111201202110211002202002120
4113123000133313233032202
5102000213042231113242
61003030340344325110
730461205234523530
oct2733003767571642
9444652424082076
10103011030332322
112a905807148882
12b678289773796
134562b8ac607b8
141b61a90a33150
15bd98475951ec
hex5db01fdef3a2

103011030332322 has 64 divisors (see below), whose sum is σ = 244018169809920. Its totient is φ = 28364885430336.

The previous prime is 103011030332303. The next prime is 103011030332363. The reversal of 103011030332322 is 223233030110301.

It is a super-2 number, since 2×1030110303323222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011030332292 and 103011030332301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76640808 + ... + 77973299.

It is an arithmetic number, because the mean of its divisors is an integer number (3812783903280).

Almost surely, 2103011030332322 is an apocalyptic number.

103011030332322 is an abundant number, since it is smaller than the sum of its proper divisors (141007139477598).

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

103011030332322 is a wasteful number, since it uses less digits than its factorization.

103011030332322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154614695.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103011030332322 its reverse (223233030110301), we get a palindrome (326244060442623).

The spelling of 103011030332322 in words is "one hundred three trillion, eleven billion, thirty million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 547 609 1094 1218 1641 3282 3829 7658 11487 15863 22974 31726 47589 95178 111041 222082 333123 666246 154614107 309228214 463842321 927684642 1082298749 2164597498 3246896247 4483809103 6493792494 8967618206 13451427309 26902854618 31386663721 62773327442 84573916529 94159991163 169147833058 188319982326 253721749587 507443499174 592017415703 1184034831406 1776052247109 2452643579341 3552104494218 4905287158682 7357930738023 14715861476046 17168505055387 34337010110774 51505515166161 103011030332322