Search a number
-
+
100313224042340 = 22523719303299341
BaseRepresentation
bin10110110011101111111110…
…000101011101011101100100
3111011011211222001121111210202
4112303233332011131131210
5101122012440323323330
6553203131533010032
730062251130443121
oct2663577605353544
9434154861544722
10100313224042340
1129a656658a2191
12b30145b923918
1343c865b89ab7a
141aab28635d748
15b8e59cdd8445
hex5b3bfe15d764

100313224042340 has 48 divisors (see below), whose sum is σ = 220122530449920. Its totient is φ = 38327330997120.

The previous prime is 100313224042301. The next prime is 100313224042379. The reversal of 100313224042340 is 43240422313001.

It is an interprime number because it is at equal distance from previous prime (100313224042301) and next prime (100313224042379).

It is a super-2 number, since 2×1003132240423402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151318931 + ... + 151980410.

It is an arithmetic number, because the mean of its divisors is an integer number (4585886051040).

Almost surely, 2100313224042340 is an apocalyptic number.

100313224042340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100313224042340 is an abundant number, since it is smaller than the sum of its proper divisors (119809306407580).

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

100313224042340 is a wasteful number, since it uses less digits than its factorization.

100313224042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303300092 (or 303300090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 100313224042340 its reverse (43240422313001), we get a palindrome (143553646355341).

The spelling of 100313224042340 in words is "one hundred trillion, three hundred thirteen billion, two hundred twenty-four million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 719 1438 2876 3595 7190 14380 16537 33074 66148 82685 165370 330740 303299341 606598682 1213197364 1516496705 3032993410 6065986820 6975884843 13951769686 27903539372 34879424215 69758848430 139517696860 218072226179 436144452358 872288904716 1090361130895 2180722261790 4361444523580 5015661202117 10031322404234 20062644808468 25078306010585 50156612021170 100313224042340