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31213302000 = 2435316731151
BaseRepresentation
bin11101000100011101…
…010011000011110000
32222120022100000211020
4131010131103003300
51002411101131000
622201133215440
72153331455316
oct350435230360
988508300736
1031213302000
1112268105861
126071331580
132c3586608a
14172163c0b6
15c2a3e0ba0
hex7447530f0

31213302000 has 160 divisors (see below), whose sum is σ = 101237520384. Its totient is φ = 8273440000.

The previous prime is 31213301983. The next prime is 31213302007. The reversal of 31213302000 is 20331213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213302007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986425 + ... + 1017575.

Almost surely, 231213302000 is an apocalyptic number.

31213302000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50618760192).

31213302000 is an abundant number, since it is smaller than the sum of its proper divisors (70024218384).

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

31213302000 is a wasteful number, since it uses less digits than its factorization.

31213302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31344 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31213302000 its reverse (20331213), we get a palindrome (31233633213).

The spelling of 31213302000 in words is "thirty-one billion, two hundred thirteen million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 167 200 240 250 300 334 375 400 500 501 600 668 750 835 1000 1002 1200 1336 1500 1670 2000 2004 2505 2672 3000 3340 4008 4175 5010 6000 6680 8016 8350 10020 12525 13360 16700 20040 20875 25050 31151 33400 40080 41750 50100 62302 62625 66800 83500 93453 100200 124604 125250 155755 167000 186906 200400 249208 250500 311510 334000 373812 467265 498416 501000 623020 747624 778775 934530 1002000 1246040 1495248 1557550 1869060 2336325 2492080 3115100 3738120 3893875 4672650 5202217 6230200 7476240 7787750 9345300 10404434 11681625 12460400 15575500 15606651 18690600 20808868 23363250 26011085 31151000 31213302 37381200 41617736 46726500 52022170 62302000 62426604 78033255 83235472 93453000 104044340 124853208 130055425 156066510 186906000 208088680 249706416 260110850 312133020 390166275 416177360 520221700 624266040 650277125 780332550 1040443400 1248532080 1300554250 1560665100 1950831375 2080886800 2601108500 3121330200 3901662750 5202217000 6242660400 7803325500 10404434000 15606651000 31213302000