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103330021320 = 23325684141957
BaseRepresentation
bin110000000111011110…
…0101111111111001000
3100212201020122221201200
41200032330233333020
53143104441140240
6115245200544200
710315420455321
oct1401674577710
9325636587650
10103330021320
113a905115439
1218039022060
1399896a3666
145003413448
152a4b76c930
hex180ef2ffc8

103330021320 has 96 divisors (see below), whose sum is σ = 335879664120. Its totient is φ = 27549987840.

The previous prime is 103330021313. The next prime is 103330021337. The reversal of 103330021320 is 23120033301.

103330021320 is a `hidden beast` number, since 10 + 3 + 330 + 0 + 2 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94036675716 + 9293345604 = 306654^2 + 96402^2 .

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 = 103330021293 and 103330021302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441782 + ... + 2483738.

Almost surely, 2103330021320 is an apocalyptic number.

103330021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103330021320 is an abundant number, since it is smaller than the sum of its proper divisors (232549642800).

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

103330021320 is a wasteful number, since it uses less digits than its factorization.

103330021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48815 (or 48808 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103330021320 its reverse (23120033301), we get a palindrome (126450054621).

The spelling of 103330021320 in words is "one hundred three billion, three hundred thirty million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6841 13682 20523 27364 34205 41046 41957 54728 61569 68410 82092 83914 102615 123138 125871 136820 164184 167828 205230 209785 246276 251742 273640 307845 335656 377613 410460 419570 492552 503484 615690 629355 755226 820920 839140 1006968 1231380 1258710 1510452 1678280 1888065 2462760 2517420 3020904 3776130 5034840 7552260 15104520 287027837 574055674 861083511 1148111348 1435139185 1722167022 2296222696 2583250533 2870278370 3444334044 4305417555 5166501066 5740556740 6888668088 8610835110 10333002132 11481113480 12916252665 17221670220 20666004264 25832505330 34443340440 51665010660 103330021320