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103012333320 = 23351366033547
BaseRepresentation
bin101111111110000000…
…0110111011100001000
3100211220002212201201110
41133330000313130020
53141432124131240
6115153451450320
710304512246251
oct1377400673410
9324802781643
10103012333320
113a76185a776
1217b6a7569a0
1399389218b0
144db3157b28
152a2d917c80
hex17fc037708

103012333320 has 64 divisors (see below), whose sum is σ = 332809081920. Its totient is φ = 25356881664.

The previous prime is 103012333279. The next prime is 103012333321. The reversal of 103012333320 is 23333210301.

103012333320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030123333202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103012333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33015214 + ... + 33018333.

It is an arithmetic number, because the mean of its divisors is an integer number (5200141905).

Almost surely, 2103012333320 is an apocalyptic number.

103012333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012333320 is an abundant number, since it is smaller than the sum of its proper divisors (229796748600).

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

103012333320 is a wasteful number, since it uses less digits than its factorization.

103012333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66033574 (or 66033570 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103012333320 its reverse (23333210301), we get a palindrome (126345543621).

The spelling of 103012333320 in words is "one hundred three billion, twelve million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 66033547 132067094 198100641 264134188 330167735 396201282 528268376 660335470 792402564 858436111 990503205 1320670940 1584805128 1716872222 1981006410 2575308333 2641341880 3433744444 3962012820 4292180555 5150616666 6867488888 7924025640 8584361110 10301233332 12876541665 17168722220 20602466664 25753083330 34337444440 51506166660 103012333320