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213010120000 = 265431117123
BaseRepresentation
bin1100011001100001100…
…1000111110101000000
3202100211001010020222201
43012120121013311000
511442221042320000
6241504442042544
721250406101006
oct3063031076500
9670731106881
10213010120000
1182378728997
12353487a9454
1317118825232
14a449d22a76
15581a72496a
hex3198647d40

213010120000 has 140 divisors (see below), whose sum is σ = 529925194656. Its totient is φ = 84925120000.

The previous prime is 213010119997. The next prime is 213010120061. The reversal of 213010120000 is 21010312.

It is a super-2 number, since 2×2130101200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12431439 + ... + 12448561.

Almost surely, 2213010120000 is an apocalyptic number.

213010120000 is a gapful number since it is divisible by the number (20) 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 213010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264962597328).

213010120000 is an abundant number, since it is smaller than the sum of its proper divisors (316915074656).

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

213010120000 is an equidigital number, since it uses as much as digits as its factorization.

213010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17466 (or 17441 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 213010120000 its reverse (21010312), we get a palindrome (213031130312).

The spelling of 213010120000 in words is "two hundred thirteen billion, ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 311 320 400 500 622 625 800 1000 1244 1250 1555 1600 2000 2488 2500 3110 4000 4976 5000 6220 7775 8000 9952 10000 12440 15550 17123 19904 20000 24880 31100 34246 38875 40000 49760 62200 68492 77750 85615 99520 124400 136984 155500 171230 194375 248800 273968 311000 342460 388750 428075 497600 547936 622000 684920 777500 856150 1095872 1244000 1369840 1555000 1712300 2140375 2488000 2739680 3110000 3424600 4280750 5325253 5479360 6220000 6849200 8561500 10650506 10701875 12440000 13698400 17123000 21301012 21403750 26626265 27396800 34246000 42602024 42807500 53252530 68492000 85204048 85615000 106505060 133131325 136984000 170408096 171230000 213010120 266262650 340816192 342460000 426020240 532525300 665656625 684920000 852040480 1065050600 1331313250 1704080960 2130101200 2662626500 3328283125 4260202400 5325253000 6656566250 8520404800 10650506000 13313132500 21301012000 26626265000 42602024000 53252530000 106505060000 213010120000