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213013202112 = 2633631195359
BaseRepresentation
bin1100011001100010010…
…0111000010011000000
3202100211020220211212000
43012120210320103000
511442222334431422
6241505032104000
721250444225524
oct3063044702300
9670736824760
10213013202112
118237a443597
1235349835000
1317119364079
14a44a4c5d84
15581ab32cac
hex31989384c0

213013202112 has 112 divisors (see below), whose sum is σ = 627215001600. Its totient is φ = 70891511040.

The previous prime is 213013202093. The next prime is 213013202141. The reversal of 213013202112 is 211202310312.

213013202112 is a `hidden beast` number, since 2 + 130 + 1 + 320 + 211 + 2 = 666.

It is a super-2 number, since 2×2130132021122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992689 + ... + 1188047.

Almost surely, 2213013202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213013202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313607500800).

213013202112 is an abundant number, since it is smaller than the sum of its proper divisors (414201799488).

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

213013202112 is a wasteful number, since it uses less digits than its factorization.

213013202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196011 (or 195995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213013202112 its reverse (211202310312), we get a palindrome (424215512424).

The spelling of 213013202112 in words is "two hundred thirteen billion, thirteen million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 631 864 1262 1728 1893 2524 3786 5048 5679 7572 10096 11358 15144 17037 20192 22716 30288 34074 40384 45432 60576 68148 90864 121152 136296 181728 195359 272592 363456 390718 545184 586077 781436 1090368 1172154 1562872 1758231 2344308 3125744 3516462 4688616 5274693 6251488 7032924 9377232 10549386 12502976 14065848 18754464 21098772 28131696 37508928 42197544 56263392 84395088 112526784 123271529 168790176 246543058 337580352 369814587 493086116 739629174 986172232 1109443761 1479258348 1972344464 2218887522 2958516696 3328331283 3944688928 4437775044 5917033392 6656662566 7889377856 8875550088 11834066784 13313325132 17751100176 23668133568 26626650264 35502200352 53253300528 71004400704 106506601056 213013202112