Search a number
-
+
102303111110220 = 223251813140058659
BaseRepresentation
bin10111010000101101001100…
…100110001101111001001100
3111102020002012201012011220100
4113100231030212031321030
5101402113232421011340
61001325222254451100
730356104314443106
oct2720551446157114
9442202181164810
10102303111110220
112a662562204429
12b583040b03a90
1345111acc23c27
141b396d5a90576
15bc621314b830
hex5d0b4c98de4c

102303111110220 has 72 divisors (see below), whose sum is σ = 312033909161520. Its totient is φ = 27130106805120.

The previous prime is 102303111110173. The next prime is 102303111110257. The reversal of 102303111110220 is 22011111303201.

102303111110220 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 311 + 1 + 110 + 220 = 666.

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 = 102303111110193 and 102303111110202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1569996750 + ... + 1570061909.

It is an arithmetic number, because the mean of its divisors is an integer number (4333804293910).

Almost surely, 2102303111110220 is an apocalyptic number.

102303111110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102303111110220 is an abundant number, since it is smaller than the sum of its proper divisors (209730798051300).

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

102303111110220 is a wasteful number, since it uses less digits than its factorization.

102303111110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140058855 (or 3140058850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102303111110220 its reverse (22011111303201), we get a palindrome (124314222413421).

The spelling of 102303111110220 in words is "one hundred two trillion, three hundred three billion, one hundred eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 3140058659 6280117318 9420175977 12560234636 15700293295 18840351954 28260527931 31400586590 37680703908 47100879885 56521055862 62801173180 94201759770 113042111724 141302639655 188403519540 282605279310 565210558620 568350617279 1136701234558 1705051851837 2273402469116 2841753086395 3410103703674 5115155555511 5683506172790 6820207407348 8525259259185 10230311111022 11367012345580 17050518518370 20460622222044 25575777777555 34101037036740 51151555555110 102303111110220