Search a number
-
+
110032320001000 = 2353961991143799
BaseRepresentation
bin11001000001001011100101…
…010110001111001111101000
3112102120222122120022221120011
4121001023211112033033220
5103410232142410013000
61030004052221341304
732114400315141655
oct3101134526171750
9472528576287504
10110032320001000
1132072499116321
1210411001407834
1349520071c23c7
141d25842542c2c
15cac2d6d5e2ba
hex6412e558f3e8

110032320001000 has 64 divisors (see below), whose sum is σ = 257478530400000. Its totient is φ = 44012432001600.

The previous prime is 110032320000997. The next prime is 110032320001007. The reversal of 110032320001000 is 100023230011.

It is a super-2 number, since 2×1100323200010002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110032320001007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95627101 + ... + 96770899.

It is an arithmetic number, because the mean of its divisors is an integer number (4023102037500).

Almost surely, 2110032320001000 is an apocalyptic number.

110032320001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032320001000 is an abundant number, since it is smaller than the sum of its proper divisors (147446210399000).

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

110032320001000 is a wasteful number, since it uses less digits than its factorization.

110032320001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240019 (or 1240005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 110032320001000 its reverse (100023230011), we get a palindrome (110132343231011).

The spelling of 110032320001000 in words is "one hundred ten trillion, thirty-two billion, three hundred twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 96199 192398 384796 480995 769592 961990 1143799 1923980 2287598 2404975 3847960 4575196 4809950 5718995 9150392 9619900 11437990 12024875 19239800 22875980 24049750 28594975 45751960 48099500 57189950 96199000 114379900 142974875 228759800 285949750 571899500 1143799000 110032320001 220064640002 440129280004 550161600005 880258560008 1100323200010 2200646400020 2750808000025 4401292800040 5501616000050 11003232000100 13754040000125 22006464000200 27508080000250 55016160000500 110032320001000