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103121300331 = 32717234186307
BaseRepresentation
bin110000000001010000…
…0100010101101101011
3100212011200220211100200
41200002200202231223
53142143023102311
6115212343203243
710310304406320
oct1400240425553
9325150824320
10103121300331
113a808316255
1217b9b146523
139955384a0a
144dc3800b47
152a3828e556
hex1802822b6b

103121300331 has 48 divisors (see below), whose sum is σ = 188082445824. Its totient is φ = 53048869632.

The previous prime is 103121300287. The next prime is 103121300339. The reversal of 103121300331 is 133003121301.

It is a happy number.

103121300331 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 1 + 300 + 331 = 666.

It is not a de Polignac number, because 103121300331 - 27 = 103121300203 is a prime.

It is a super-2 number, since 2×1031213003312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103121300339) 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, 2068521 + ... + 2117786.

It is an arithmetic number, because the mean of its divisors is an integer number (3918384288).

Almost surely, 2103121300331 is an apocalyptic number.

103121300331 is a deficient number, since it is larger than the sum of its proper divisors (84961145493).

103121300331 is a wasteful number, since it uses less digits than its factorization.

103121300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186360 (or 4186357 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103121300331 its reverse (133003121301), we get a palindrome (236124421632).

The spelling of 103121300331 in words is "one hundred three billion, one hundred twenty-one million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 23 51 63 69 119 153 161 207 357 391 483 1071 1173 1449 2737 3519 8211 24633 4186307 12558921 29304149 37676763 71167219 87912447 96285061 213501657 263737341 288855183 498170533 640504971 673995427 866565549 1494511599 1636846037 2021986281 4483534797 4910538111 6065958843 11457922259 14731614333 34373766777 103121300331