Search a number
-
+
103331211312 = 24372239137353
BaseRepresentation
bin110000000111100000…
…1010010100000110000
3100212201022220102002110
41200033001102200300
53143110242230222
6115245242245320
710315433542560
oct1401701224060
9325638812073
10103331211312
113a9058584aa
12180394b6840
1399899cc1b4
145003642da0
152a4b90530c
hex180f052830

103331211312 has 80 divisors (see below), whose sum is σ = 305211576320. Its totient is φ = 29509802496.

The previous prime is 103331211289. The next prime is 103331211377. The reversal of 103331211312 is 213112133301.

It is a happy number.

It is a super-2 number, since 2×1033312113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683628 + ... + 820980.

It is an arithmetic number, because the mean of its divisors is an integer number (3815144704).

Almost surely, 2103331211312 is an apocalyptic number.

103331211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103331211312 is an abundant number, since it is smaller than the sum of its proper divisors (201880365008).

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

103331211312 is a wasteful number, since it uses less digits than its factorization.

103331211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139610 (or 139604 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103331211312 its reverse (213112133301), we get a palindrome (316443344613).

The spelling of 103331211312 in words is "one hundred three billion, three hundred thirty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2239 4478 6717 8956 13434 15673 17912 26868 31346 35824 47019 53736 62692 94038 107472 125384 137353 188076 250768 274706 376152 412059 549412 752304 824118 961471 1098824 1648236 1922942 2197648 2884413 3296472 3845884 5768826 6592944 7691768 11537652 15383536 23075304 46150608 307533367 615066734 922600101 1230133468 1845200202 2152733569 2460266936 3690400404 4305467138 4920533872 6458200707 7380800808 8610934276 12916401414 14761601616 17221868552 25832802828 34443737104 51665605656 103331211312