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31354130136 = 23377311932143
BaseRepresentation
bin11101001100110110…
…100000111011011000
32222221010022211201010
4131030312200323120
51003203124131021
622223123453520
72156661465060
oct351466407330
988833284633
1031354130136
111232a65304a
1260b05272a0
132c58aa3334
14173621a3a0
15c3795c976
hex74cda0ed8

31354130136 has 128 divisors (see below), whose sum is σ = 90928926720. Its totient is φ = 8824080384.

The previous prime is 31354130123. The next prime is 31354130161. The reversal of 31354130136 is 63103145313.

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, 14629881 + ... + 14632023.

It is an arithmetic number, because the mean of its divisors is an integer number (710382240).

Almost surely, 231354130136 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 31354130136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45464463360).

31354130136 is an abundant number, since it is smaller than the sum of its proper divisors (59574796584).

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

31354130136 is a wasteful number, since it uses less digits than its factorization.

31354130136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 31354130136 its reverse (63103145313), we get a palindrome (94457275449).

The spelling of 31354130136 in words is "thirty-one billion, three hundred fifty-four million, one hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1193 1533 1752 2044 2143 2386 3066 3579 4088 4286 4772 6132 6429 7158 8351 8572 9544 12264 12858 14316 15001 16702 17144 25053 25716 28632 30002 33404 45003 50106 51432 60004 66808 87089 90006 100212 120008 156439 174178 180012 200424 261267 312878 348356 360024 469317 522534 609623 625756 696712 938634 1045068 1095073 1219246 1251512 1828869 1877268 2090136 2190146 2438492 2556599 3285219 3657738 3754536 4380292 4876984 5113198 6570438 7315476 7669797 8760584 10226396 13140876 14630952 15339594 17896193 20452792 26281752 30679188 35792386 53688579 61358376 71584772 107377158 143169544 186631727 214754316 373263454 429508632 559895181 746526908 1119790362 1306422089 1493053816 2239580724 2612844178 3919266267 4479161448 5225688356 7838532534 10451376712 15677065068 31354130136