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31323132240 = 24351031267117
BaseRepresentation
bin11101001011000000…
…010001000101010000
32222211221222222120220
4131023000101011100
51003122210212430
622220055233040
72156134142151
oct351300210520
988757888526
1031323132240
1112314100954
1260a2078780
132c5253c09a
14173206b928
15c34d88110
hex74b011150

31323132240 has 80 divisors (see below), whose sum is σ = 98044522368. Its totient is φ = 8271733248.

The previous prime is 31323132229. The next prime is 31323132241. The reversal of 31323132240 is 4223132313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×313231322402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31323132240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31323132241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608839 + ... + 658278.

Almost surely, 231323132240 is an apocalyptic number.

31323132240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31323132240 is an abundant number, since it is smaller than the sum of its proper divisors (66721390128).

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

31323132240 is a wasteful number, since it uses less digits than its factorization.

31323132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267236 (or 1267230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31323132240 its reverse (4223132313), we get a palindrome (35546264553).

The spelling of 31323132240 in words is "thirty-one billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 1267117 2534234 3801351 5068468 6335585 7602702 10136936 12671170 15205404 19006755 20273872 25342340 30410808 38013510 50684680 60821616 76027020 101369360 130513051 152054040 261026102 304108080 391539153 522052204 652565255 783078306 1044104408 1305130510 1566156612 1957695765 2088208816 2610261020 3132313224 3915391530 5220522040 6264626448 7830783060 10441044080 15661566120 31323132240