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1331304122430 = 233517532812753
BaseRepresentation
bin10011010111110111111…
…010001100100000111110
311201021022212120122021000
4103113313322030200332
5133303002323404210
62455332003351130
7165116646220422
oct23276772144076
94637285518230
101331304122430
1147366a519757
121960230824a6
139870670b9c9
1448614ca8b82
152496c2a5ac0
hex135f7e8c83e

1331304122430 has 64 divisors (see below), whose sum is σ = 3552170771520. Its totient is φ = 354811788288.

The previous prime is 1331304122419. The next prime is 1331304122497. The reversal of 1331304122430 is 342214031331.

It is a happy number.

1331304122430 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 0 + 412 + 243 + 0 = 666.

It is a super-2 number, since 2×13313041224302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1331304122394 and 1331304122403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933067 + ... + 1879686.

It is an arithmetic number, because the mean of its divisors is an integer number (55502668305).

Almost surely, 21331304122430 is an apocalyptic number.

1331304122430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331304122430 is an abundant number, since it is smaller than the sum of its proper divisors (2220866649090).

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

1331304122430 is a wasteful number, since it uses less digits than its factorization.

1331304122430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814522 (or 2814516 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1331304122430 its reverse (342214031331), we get a palindrome (1673518153761).

The spelling of 1331304122430 in words is "one trillion, three hundred thirty-one billion, three hundred four million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1753 3506 5259 8765 10518 15777 17530 26295 31554 47331 52590 78885 94662 157770 236655 473310 2812753 5625506 8438259 14063765 16876518 25314777 28127530 42191295 50629554 75944331 84382590 126573885 151888662 253147770 379721655 759443310 4930756009 9861512018 14792268027 24653780045 29584536054 44376804081 49307560090 73961340135 88753608162 133130412243 147922680270 221884020405 266260824486 443768040810 665652061215 1331304122430