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213031001124 = 223247153182237
BaseRepresentation
bin1100011001100110100…
…0110001110000100100
3202100212111102010111200
43012121220301300210
511442241414013444
6241510505402500
721251051426634
oct3063150616044
9670774363450
10213031001124
11823894a0217
1235353799430
131711cc56726
14a44c9da6c4
15581c49b969
hex3199a31c24

213031001124 has 72 divisors (see below), whose sum is σ = 550318274688. Its totient is φ = 69453236160.

The previous prime is 213031001123. The next prime is 213031001153. The reversal of 213031001124 is 421100130312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213031001097 and 213031001106.

It is not an unprimeable number, because it can be changed into a prime (213031001123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2549334 + ... + 2631570.

Almost surely, 2213031001124 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 213031001124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275159137344).

213031001124 is an abundant number, since it is smaller than the sum of its proper divisors (337287273564).

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

213031001124 is a wasteful number, since it uses less digits than its factorization.

213031001124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83825 (or 83820 counting only the distinct ones).

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

Adding to 213031001124 its reverse (421100130312), we get a palindrome (634131131436).

The spelling of 213031001124 in words is "two hundred thirteen billion, thirty-one million, one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1531 1692 3062 4593 6124 9186 13779 18372 27558 55116 71957 82237 143914 164474 215871 246711 287828 328948 431742 493422 647613 740133 863484 986844 1295226 1480266 2590452 2960532 3865139 7730278 11595417 15460556 23190834 34786251 46381668 69572502 125904847 139145004 251809694 377714541 503619388 755429082 1133143623 1510858164 2266287246 4532574492 5917527809 11835055618 17752583427 23670111236 35505166854 53257750281 71010333708 106515500562 213031001124