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103203221220 = 223251152122839
BaseRepresentation
bin110000000011101100…
…1000010111011100100
3100212101102001211200200
41200013121002323210
53142330011034340
6115224431110500
710312320622611
oct1400731027344
9325342054620
10103203221220
113a84a589670
1218002672430
139969338508
144dd0647508
152a40572330
hex1807642ee4

103203221220 has 72 divisors (see below), whose sum is σ = 341508847680. Its totient is φ = 25018962240.

The previous prime is 103203221183. The next prime is 103203221227. The reversal of 103203221220 is 22122302301.

103203221220 is a `hidden beast` number, since 1 + 0 + 320 + 322 + 1 + 2 + 20 = 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 = 103203221193 and 103203221202.

It is not an unprimeable number, because it can be changed into a prime (103203221227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26059440 + ... + 26063399.

It is an arithmetic number, because the mean of its divisors is an integer number (4743178440).

Almost surely, 2103203221220 is an apocalyptic number.

103203221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103203221220 is an abundant number, since it is smaller than the sum of its proper divisors (238305626460).

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

103203221220 is a wasteful number, since it uses less digits than its factorization.

103203221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52122865 (or 52122860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103203221220 its reverse (22122302301), we get a palindrome (125325523521).

It can be divided in two parts, 103203 and 221220, that added together give a palindrome (324423).

The spelling of 103203221220 in words is "one hundred three billion, two hundred three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 52122839 104245678 156368517 208491356 260614195 312737034 469105551 521228390 573351229 625474068 781842585 938211102 1042456780 1146702458 1563685170 1720053687 1876422204 2293404916 2345527755 2866756145 3127370340 3440107374 4691055510 5160161061 5733512290 6880214748 8600268435 9382111020 10320322122 11467024580 17200536870 20640644244 25800805305 34401073740 51601610610 103203221220