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31213023000 = 2335326633907
BaseRepresentation
bin11101000100011100…
…001110111100011000
32222120021210212002220
4131010130032330120
51002411013214000
622201123224040
72153326214025
oct350434167430
988507725086
1031213023000
1112267a35185
126071218020
132c357990a3
1417215a854c
15c2a3881a0
hex74470ef18

31213023000 has 128 divisors (see below), whose sum is σ = 97446136320. Its totient is φ = 8318217600.

The previous prime is 31213022987. The next prime is 31213023001. The reversal of 31213023000 is 32031213.

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 (31213023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7987047 + ... + 7990953.

It is an arithmetic number, because the mean of its divisors is an integer number (761297940).

Almost surely, 231213023000 is an apocalyptic number.

31213023000 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 31213023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48723068160).

31213023000 is an abundant number, since it is smaller than the sum of its proper divisors (66233113320).

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

31213023000 is a wasteful number, since it uses less digits than its factorization.

31213023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6580 counting only the distinct ones).

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

Adding to 31213023000 its reverse (32031213), we get a palindrome (31245054213).

The spelling of 31213023000 in words is "thirty-one billion, two hundred thirteen million, twenty-three 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 2663 3000 3907 5326 7814 7989 10652 11721 13315 15628 15978 19535 21304 23442 26630 31256 31956 39070 39945 46884 53260 58605 63912 66575 78140 79890 93768 97675 106520 117210 133150 156280 159780 195350 199725 234420 266300 293025 319560 332875 390700 399450 468840 488375 532600 586050 665750 781400 798900 976750 998625 1172100 1331500 1465125 1597800 1953500 1997250 2344200 2663000 2930250 3907000 3994500 5860500 7989000 10404341 11721000 20808682 31213023 41617364 52021705 62426046 83234728 104043410 124852092 156065115 208086820 249704184 260108525 312130230 416173640 520217050 624260460 780325575 1040434100 1248520920 1300542625 1560651150 2080868200 2601085250 3121302300 3901627875 5202170500 6242604600 7803255750 10404341000 15606511500 31213023000