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31123132120 = 2356766117569
BaseRepresentation
bin11100111111000101…
…010100111011011000
32222100000122221000001
4130333011110323120
51002220010211440
622144152422344
72151155154343
oct347705247330
988300587001
1031123132120
11122212188a3
1260470a79b4
132c1cc84a12
14171368945a
15c2252db9a
hex73f154ed8

31123132120 has 64 divisors (see below), whose sum is σ = 71183800800. Its totient is φ = 12244193280.

The previous prime is 31123132097. The next prime is 31123132127. The reversal of 31123132120 is 2123132113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123132127) 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, 1762696 + ... + 1780264.

Almost surely, 231123132120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35591900400).

31123132120 is an abundant number, since it is smaller than the sum of its proper divisors (40060668680).

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

31123132120 is a wasteful number, since it uses less digits than its factorization.

31123132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18308 (or 18304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31123132120 its reverse (2123132113), we get a palindrome (33246264233).

The spelling of 31123132120 in words is "thirty-one billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 661 670 1322 1340 2644 2680 3305 5288 6610 13220 17569 26440 35138 44287 70276 87845 88574 140552 175690 177148 221435 351380 354296 442870 702760 885740 1177123 1771480 2354246 4708492 5885615 9416984 11613109 11771230 23226218 23542460 46452436 47084920 58065545 92904872 116131090 232262180 464524360 778078303 1556156606 3112313212 3890391515 6224626424 7780783030 15561566060 31123132120