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213110221122 = 232313743240049
BaseRepresentation
bin1100011001111001011…
…0111110100101000010
3202101002000110220220200
43012132112332211002
511442422204033442
6241522415350030
721253032664011
oct3063626764502
9671060426820
10213110221122
118241a189397
1235376222316
13171334a2a76
14a45933ca78
1558243e934c
hex319e5be942

213110221122 has 96 divisors (see below), whose sum is σ = 500901772800. Its totient is φ = 65331463680.

The previous prime is 213110221109. The next prime is 213110221213. The reversal of 213110221122 is 221122011312.

213110221122 is a `hidden beast` number, since 213 + 110 + 221 + 122 = 666.

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 = 213110221095 and 213110221104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767754 + ... + 1007802.

It is an arithmetic number, because the mean of its divisors is an integer number (5217726800).

Almost surely, 2213110221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213110221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250450886400).

213110221122 is an abundant number, since it is smaller than the sum of its proper divisors (287791551678).

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

213110221122 is a wasteful number, since it uses less digits than its factorization.

213110221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240168 (or 240165 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213110221122 its reverse (221122011312), we get a palindrome (434232232434).

The spelling of 213110221122 in words is "two hundred thirteen billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 37 43 62 74 86 93 111 129 186 222 258 279 333 387 558 666 774 1147 1333 1591 2294 2666 3182 3441 3999 4773 6882 7998 9546 10323 11997 14319 20646 23994 28638 49321 98642 147963 240049 295926 443889 480098 720147 887778 1440294 2160441 4320882 7441519 8881813 10322107 14883038 17763626 20644214 22324557 26645439 30966321 44649114 53290878 61932642 66973671 79936317 92898963 133947342 159872634 185797926 275336203 319985317 381917959 550672406 639970634 763835918 826008609 959955951 1145753877 1652017218 1919911902 2291507754 2478025827 2879867853 3437261631 4956051654 5759735706 6874523262 11839456729 23678913458 35518370187 71036740374 106555110561 213110221122