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42002213000 = 23531111333791
BaseRepresentation
bin100111000111100001…
…101110100010001000
311000102012120111101112
4213013201232202020
51142010031304000
631143501105452
73014565630326
oct470741564210
9130365514345
1042002213000
11168a4177330
128182558288
133c64b22c97
142066480d16
15115c685235
hex9c786e888

42002213000 has 128 divisors (see below), whose sum is σ = 108172247040. Its totient is φ = 15137920000.

The previous prime is 42002212963. The next prime is 42002213023. The reversal of 42002213000 is 31220024.

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, 1226105 + ... + 1259895.

It is an arithmetic number, because the mean of its divisors is an integer number (845095680).

Almost surely, 242002213000 is an apocalyptic number.

42002213000 is a gapful number since it is divisible by the number (40) 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 42002213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54086123520).

42002213000 is an abundant number, since it is smaller than the sum of its proper divisors (66170034040).

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

42002213000 is a wasteful number, since it uses less digits than its factorization.

42002213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33936 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 42002213000 its reverse (31220024), we get a palindrome (42033433024).

The spelling of 42002213000 in words is "forty-two billion, two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 200 220 226 250 275 440 452 500 550 565 904 1000 1100 1130 1243 1375 2200 2260 2486 2750 2825 4520 4972 5500 5650 6215 9944 11000 11300 12430 14125 22600 24860 28250 31075 33791 49720 56500 62150 67582 113000 124300 135164 155375 168955 248600 270328 310750 337910 371701 621500 675820 743402 844775 1243000 1351640 1486804 1689550 1858505 2973608 3379100 3717010 3818383 4223875 6758200 7434020 7636766 8447750 9292525 14868040 15273532 16895500 18585050 19091915 30547064 33791000 37170100 38183830 42002213 46462625 74340200 76367660 84004426 92925250 95459575 152735320 168008852 185850500 190919150 210011065 336017704 371701000 381838300 420022130 477297875 763676600 840044260 954595750 1050055325 1680088520 1909191500 2100110650 3818383000 4200221300 5250276625 8400442600 10500553250 21001106500 42002213000