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1304402031135 = 325724712586501
BaseRepresentation
bin10010111110110100011…
…010110111001000011111
311121200220000112210201100
4102332310122313020133
5132332403404444020
62435122314244143
7163145204216400
oct22766432671037
94550800483640
101304402031135
11463214a39355
12190975726653
139600a0bbaa8
14471c20719a7
1523de5610a90
hex12fb46b721f

1304402031135 has 72 divisors (see below), whose sum is σ = 2686060218816. Its totient is φ = 583610832000.

The previous prime is 1304402031019. The next prime is 1304402031169. The reversal of 1304402031135 is 5311302044031.

It is a happy number.

1304402031135 is a `hidden beast` number, since 1 + 3 + 0 + 440 + 203 + 1 + 13 + 5 = 666.

It is not a de Polignac number, because 1304402031135 - 220 = 1304400982559 is a prime.

It is a super-2 number, since 2×13044020311352 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304402031099 and 1304402031108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6189616 + ... + 6396885.

It is an arithmetic number, because the mean of its divisors is an integer number (37306391928).

Almost surely, 21304402031135 is an apocalyptic number.

1304402031135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1304402031135 is an abundant number, since it is smaller than the sum of its proper divisors (1381658187681).

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

1304402031135 is a wasteful number, since it uses less digits than its factorization.

1304402031135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586573 (or 12586563 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1304402031135 its reverse (5311302044031), we get a palindrome (6615704075166).

The spelling of 1304402031135 in words is "one trillion, three hundred four billion, four hundred two million, thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 49 63 105 141 147 235 245 315 329 423 441 705 735 987 1645 2115 2205 2303 2961 4935 6909 11515 14805 20727 34545 103635 12586501 37759503 62932505 88105507 113278509 188797515 264316521 440527535 566392545 591565547 616738549 792949563 1321582605 1774696641 1850215647 2957827735 3083692745 3964747815 4140958829 5324089923 5550646941 8873483205 9251078235 12422876487 20704794145 26620449615 27753234705 28986711803 37268629461 62114382435 86960135409 144933559015 186343147305 260880406227 434800677045 1304402031135