Search a number
-
+
122331103320 = 23351397333999
BaseRepresentation
bin111000111101110000…
…0001000000001011000
3102200202110112221002110
41301323200020001120
54001013230301240
6132110444032320
711560323135666
oct1617340100130
9380673487073
10122331103320
114797579a598
121b8605326a0
13b6c712c74a
145cc6b8dc36
1532ae96cc80
hex1c7b808058

122331103320 has 64 divisors (see below), whose sum is σ = 369633600000. Its totient is φ = 32386935168.

The previous prime is 122331103309. The next prime is 122331103339. The reversal of 122331103320 is 23301133221.

122331103320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3650320 + ... + 3683679.

It is an arithmetic number, because the mean of its divisors is an integer number (5775525000).

Almost surely, 2122331103320 is an apocalyptic number.

122331103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122331103320 is an abundant number, since it is smaller than the sum of its proper divisors (247302496680).

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

122331103320 is a wasteful number, since it uses less digits than its factorization.

122331103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334152 (or 7334148 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122331103320 its reverse (23301133221), we get a palindrome (145632236541).

The spelling of 122331103320 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 7333999 14667998 22001997 29335996 36669995 44003994 58671992 73339990 88007988 110009985 146679980 176015976 220019970 293359960 440039940 880079880 1019425861 2038851722 3058277583 4077703444 5097129305 6116555166 8155406888 10194258610 12233110332 15291387915 20388517220 24466220664 30582775830 40777034440 61165551660 122331103320