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1313046900 = 22325211132631
BaseRepresentation
bin100111001000011…
…1000000101110100
310101111201200201200
41032100320011310
510142120000100
6334143052500
744352500034
oct11620700564
93344650650
101313046900
116141a9630
123078a1130
1317c055639
14c65598c4
157a41ae00
hex4e438174

1313046900 has 108 divisors (see below), whose sum is σ = 4489858464. Its totient is φ = 318312000.

The previous prime is 1313046893. The next prime is 1313046907. The reversal of 1313046900 is 96403131.

It is an interprime number because it is at equal distance from previous prime (1313046893) and next prime (1313046907).

It is a super-2 number, since 2×13130469002 = 3448184323199220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313046907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56416 + ... + 76215.

Almost surely, 21313046900 is an apocalyptic number.

1313046900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313046900 is an abundant number, since it is smaller than the sum of its proper divisors (3176811564).

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

1313046900 is a wasteful number, since it uses less digits than its factorization.

1313046900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132662 (or 132652 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1313046900 is about 36235.9890164461. The cubic root of 1313046900 is about 1095.0318374430.

The spelling of 1313046900 in words is "one billion, three hundred thirteen million, forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 132631 265262 397893 530524 663155 795786 1193679 1326310 1458941 1591572 1989465 2387358 2652620 2917882 3315775 3978930 4376823 4774716 5835764 5968395 6631550 7294705 7957860 8753646 9947325 11936790 13130469 13263100 14589410 17507292 19894650 21884115 23873580 26260938 29178820 29841975 36473525 39789300 43768230 52521876 59683950 65652345 72947050 87536460 109420575 119367900 131304690 145894100 218841150 262609380 328261725 437682300 656523450 1313046900