Search a number
-
+
110123021320 = 235131491421309
BaseRepresentation
bin110011010001111010…
…1111111010000001000
3101112020122220002220021
41212203311333100020
53301012443140240
6122331222310224
710645644144124
oct1464365772010
9345218802807
10110123021320
1142780635924
1219413b88374
13a4ccb410a0
145489688584
152ce7ce854a
hex19a3d7f408

110123021320 has 64 divisors (see below), whose sum is σ = 268627590000. Its totient is φ = 40387888128.

The previous prime is 110123021303. The next prime is 110123021321. The reversal of 110123021320 is 23120321011.

It can be written as a sum of positive squares in 8 ways, for example, as 11699018244 + 98424003076 = 108162^2 + 313726^2 .

It is a super-4 number, since 4×1101230213204 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110123021294 and 110123021303.

It is not an unprimeable number, because it can be changed into a prime (110123021321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633175 + ... + 788134.

Almost surely, 2110123021320 is an apocalyptic number.

110123021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110123021320 is an abundant number, since it is smaller than the sum of its proper divisors (158504568680).

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

110123021320 is a wasteful number, since it uses less digits than its factorization.

110123021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421482 (or 1421478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110123021320 its reverse (23120321011), we get a palindrome (133243342331).

The spelling of 110123021320 in words is "one hundred ten billion, one hundred twenty-three million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 596 745 1192 1490 1937 2980 3874 5960 7748 9685 15496 19370 38740 77480 1421309 2842618 5685236 7106545 11370472 14213090 18477017 28426180 36954034 56852360 73908068 92385085 147816136 184770170 211775041 369540340 423550082 739080680 847100164 1058875205 1694200328 2117750410 2753075533 4235500820 5506151066 8471001640 11012302132 13765377665 22024604264 27530755330 55061510660 110123021320