Search a number
-
+
103121213121 = 32174335943661
BaseRepresentation
bin110000000001010000…
…0001101011011000001
3100212011200202101201200
41200002200031123001
53142143012304441
6115212341251413
710310303564133
oct1400240153301
9325150671650
10103121213121
113a808266783
1217b9b103b69
139955354104
144dc37bb053
152a382737b6
hex180280d6c1

103121213121 has 48 divisors (see below), whose sum is σ = 161835822720. Its totient is φ = 63021288960.

The previous prime is 103121213101. The next prime is 103121213131. The reversal of 103121213121 is 121312121301.

It is not a de Polignac number, because 103121213121 - 211 = 103121211073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103121213094 and 103121213103.

It is not an unprimeable number, because it can be changed into a prime (103121213101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340031 + ... + 2383691.

It is an arithmetic number, because the mean of its divisors is an integer number (3371579640).

Almost surely, 2103121213121 is an apocalyptic number.

It is an amenable number.

103121213121 is a deficient number, since it is larger than the sum of its proper divisors (58714609599).

103121213121 is a wasteful number, since it uses less digits than its factorization.

103121213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44086 (or 44083 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103121213121 its reverse (121312121301), we get a palindrome (224433334422).

The spelling of 103121213121 in words is "one hundred three billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 43 51 129 153 359 387 731 1077 2193 3231 6103 6579 15437 18309 43661 46311 54927 130983 138933 262429 392949 742237 787287 1877423 2226711 2361861 5632269 6680133 15674299 16896807 31916191 47022897 95748573 141068691 266463083 287245719 673994857 799389249 2021984571 2398167747 6065953713 11457912569 34373737707 103121213121