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213021133122 = 23773111762201
BaseRepresentation
bin1100011001100100001…
…1001000100101000010
3202100211210211210011010
43012121003020211002
511442231402224442
6241505514101350
721250601520150
oct3063103104502
9670753753133
10213021133122
1182383970246
123535041a856
131711abacc85
14a44b58c3d0
15581b69cb9c
hex31990c8942

213021133122 has 64 divisors (see below), whose sum is σ = 494025202944. Its totient is φ = 59974732800.

The previous prime is 213021133109. The next prime is 213021133133. The reversal of 213021133122 is 221331120312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 3393622 + ... + 3455822.

It is an arithmetic number, because the mean of its divisors is an integer number (7719143796).

Almost surely, 2213021133122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213021133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247012601472).

213021133122 is an abundant number, since it is smaller than the sum of its proper divisors (281004069822).

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

213021133122 is a wasteful number, since it uses less digits than its factorization.

213021133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63403.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213021133122 its reverse (221331120312), we get a palindrome (434352253434).

The spelling of 213021133122 in words is "two hundred thirteen billion, twenty-one million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1117 1533 2234 3066 3351 6702 7819 15638 23457 46914 62201 81541 124402 163082 186603 244623 373206 435407 489246 570787 870814 1141574 1306221 1712361 2612442 3424722 4540673 9081346 13622019 27244038 31784711 63569422 69478517 95354133 138957034 190708266 208435551 416871102 486349619 972699238 1459048857 2918097714 5071931741 10143863482 15215795223 30431590446 35503522187 71007044374 106510566561 213021133122