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31370307000 = 2335319995231
BaseRepresentation
bin11101001101110100…
…001110010110111000
32222222020202201012020
4131031310032112320
51003221244311000
622224502314440
72160246131664
oct351564162670
988866681166
1031370307000
11123387a1a5a
1260b5a28a20
132c5c248546
14173842b8a4
15c390a5ba0
hex74dd0e5b8

31370307000 has 128 divisors (see below), whose sum is σ = 97943040000. Its totient is φ = 8359632000.

The previous prime is 31370306911. The next prime is 31370307037. The reversal of 31370307000 is 70307313.

It is a super-2 number, since 2×313703070002 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5994385 + ... + 5999615.

It is an arithmetic number, because the mean of its divisors is an integer number (765180000).

Almost surely, 231370307000 is an apocalyptic number.

31370307000 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 31370307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48971520000).

31370307000 is an abundant number, since it is smaller than the sum of its proper divisors (66572733000).

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

31370307000 is a wasteful number, since it uses less digits than its factorization.

31370307000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 24.

The spelling of 31370307000 in words is "thirty-one billion, three hundred seventy million, three hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1999 3000 3998 5231 5997 7996 9995 10462 11994 15693 15992 19990 20924 23988 26155 29985 31386 39980 41848 47976 49975 52310 59970 62772 78465 79960 99950 104620 119940 125544 130775 149925 156930 199900 209240 239880 249875 261550 299850 313860 392325 399800 499750 523100 599700 627720 653875 749625 784650 999500 1046200 1199400 1307750 1499250 1569300 1961625 1999000 2615500 2998500 3138600 3923250 5231000 5997000 7846500 10456769 15693000 20913538 31370307 41827076 52283845 62740614 83654152 104567690 125481228 156851535 209135380 250962456 261419225 313703070 418270760 522838450 627406140 784257675 1045676900 1254812280 1307096125 1568515350 2091353800 2614192250 3137030700 3921288375 5228384500 6274061400 7842576750 10456769000 15685153500 31370307000