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103332221220 = 223559283710289
BaseRepresentation
bin110000000111100010…
…1001001000100100100
3100212201101210201102110
41200033011021010210
53143111022034340
6115245320041020
710315445250114
oct1401705110444
9325641721373
10103332221220
113a906388238
1218039903170
139989c93a87
145003827044
152a4ba54680
hex180f149124

103332221220 has 96 divisors (see below), whose sum is σ = 294366441600. Its totient is φ = 27076040704.

The previous prime is 103332221197. The next prime is 103332221227. The reversal of 103332221220 is 22122233301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103332221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037836 + ... + 10048124.

It is an arithmetic number, because the mean of its divisors is an integer number (3066317100).

Almost surely, 2103332221220 is an apocalyptic number.

103332221220 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 103332221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147183220800).

103332221220 is an abundant number, since it is smaller than the sum of its proper divisors (191034220380).

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

103332221220 is a wasteful number, since it uses less digits than its factorization.

103332221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13197 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103332221220 its reverse (22122233301), we get a palindrome (125454454521).

The spelling of 103332221220 in words is "one hundred three billion, three hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 2837 3540 5674 8511 10289 11348 14185 17022 20578 28370 30867 34044 41156 42555 51445 56740 61734 85110 102890 123468 154335 167383 170220 205780 308670 334766 502149 607051 617340 669532 836915 1004298 1214102 1673830 1821153 2008596 2428204 2510745 3035255 3347660 3642306 5021490 6070510 7284612 9105765 10042980 12141020 18211530 29189893 36423060 58379786 87569679 116759572 145949465 175139358 291898930 350278716 437848395 583797860 875696790 1722203687 1751393580 3444407374 5166611061 6888814748 8611018435 10333222122 17222036870 20666444244 25833055305 34444073740 51666110610 103332221220