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214100240250 = 235313197111467
BaseRepresentation
bin1100011101100101011…
…1100110011101111010
3202110122000101002211210
43013121113212131322
512001434130142000
6242204543103550
721316414005111
oct3073127463572
9673560332753
10214100240250
1182888005416
12355b18a1bb6
1317260626cc0
14a510a0cc78
1558812a8350
hex31d95e677a

214100240250 has 128 divisors (see below), whose sum is σ = 578427962112. Its totient is φ = 52433606400.

The previous prime is 214100240197. The next prime is 214100240251. The reversal of 214100240250 is 52042001412.

It is a super-3 number, since 3×2141002402503 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214100240251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1865017 + ... + 1976483.

It is an arithmetic number, because the mean of its divisors is an integer number (4518968454).

Almost surely, 2214100240250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214100240250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289213981056).

214100240250 is an abundant number, since it is smaller than the sum of its proper divisors (364327721862).

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

214100240250 is a wasteful number, since it uses less digits than its factorization.

214100240250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111697 (or 111687 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 214100240250 its reverse (52042001412), we get a palindrome (266142241662).

The spelling of 214100240250 in words is "two hundred fourteen billion, one hundred million, two hundred forty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 197 250 325 375 390 394 591 650 750 975 985 1182 1625 1950 1970 2561 2955 3250 4875 4925 5122 5910 7683 9750 9850 12805 14775 15366 24625 25610 29550 38415 49250 64025 73875 76830 111467 128050 147750 192075 222934 320125 334401 384150 557335 640250 668802 960375 1114670 1449071 1672005 1920750 2786675 2898142 3344010 4347213 5573350 7245355 8360025 8694426 13933375 14490710 16720050 21736065 21958999 27866750 36226775 41800125 43472130 43917998 65876997 72453550 83600250 108680325 109794995 131753994 181133875 217360650 219589990 285466987 329384985 362267750 543401625 548974975 570933974 658769970 856400961 1086803250 1097949950 1427334935 1646924925 1712801922 2744874875 2854669870 3293849850 4282004805 5489749750 7136674675 8234624625 8564009610 14273349350 16469249250 21410024025 35683373375 42820048050 71366746750 107050120125 214100240250