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110332121020 = 225112329374419
BaseRepresentation
bin110011011000001001…
…1101000111110111100
3101112210020100110202121
41212300103220332330
53301430010333040
6122404052132324
710654063361212
oct1466023507674
9345706313677
10110332121020
11428786735a0
12194720070a4
13a534263214
1454a9358cb2
152d0b34dc4a
hex19b04e8fbc

110332121020 has 96 divisors (see below), whose sum is σ = 264654190080. Its totient is φ = 38244898560.

The previous prime is 110332120967. The next prime is 110332121027. The reversal of 110332121020 is 20121233011.

It is a junction number, because it is equal to n+sod(n) for n = 110332120985 and 110332121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110332121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445371 + ... + 1519789.

It is an arithmetic number, because the mean of its divisors is an integer number (2756814480).

Almost surely, 2110332121020 is an apocalyptic number.

110332121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110332121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132327095040).

110332121020 is an abundant number, since it is smaller than the sum of its proper divisors (154322069060).

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

110332121020 is a wasteful number, since it uses less digits than its factorization.

110332121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74755 (or 74753 counting only the distinct ones).

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

Adding to 110332121020 its reverse (20121233011), we get a palindrome (130453354031).

It can be divided in two parts, 1103 and 32121020, that added together give a palindrome (32122123).

The spelling of 110332121020 in words is "one hundred ten billion, three hundred thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 293 460 506 586 1012 1172 1265 1465 2530 2930 3223 5060 5860 6446 6739 12892 13478 16115 26956 32230 33695 64460 67390 74129 74419 134780 148258 148838 296516 297676 370645 372095 741290 744190 818609 1482580 1488380 1637218 1711637 3274436 3423274 4093045 6846548 8186090 8558185 16372180 17116370 18828007 21804767 34232740 37656014 43609534 75312028 87219068 94140035 109023835 188280070 218047670 239852437 376560140 436095340 479704874 501509641 959409748 1003019282 1199262185 2006038564 2398524370 2507548205 4797048740 5015096410 5516606051 10030192820 11033212102 22066424204 27583030255 55166060510 110332121020