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2132200211022 = 2337192771071773
BaseRepresentation
bin11111000001110001000…
…010010100001001001110
321112211120200212101201000
4133001301002110021032
5234413221223223042
64311304054201130
7310021623520560
oct37016102241116
97484520771630
102132200211022
11752296484032
122a52996531a6
131260b12125cb
14752b024d330
153a6e40a074c
hex1f07109424e

2132200211022 has 128 divisors (see below), whose sum is σ = 5720700902400. Its totient is φ = 575052835968.

The previous prime is 2132200211021. The next prime is 2132200211083. The reversal of 2132200211022 is 2201120022312.

2132200211022 is a `hidden beast` number, since 213 + 220 + 0 + 211 + 0 + 22 = 666.

It is a super-2 number, since 2×21322002110222 (a number of 25 digits) contains 22 as substring.

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 = 2132200210986 and 2132200211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132200211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453528 + ... + 2525300.

It is an arithmetic number, because the mean of its divisors is an integer number (44692975800).

Almost surely, 22132200211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132200211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860350451200).

2132200211022 is an abundant number, since it is smaller than the sum of its proper divisors (3588500691378).

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

2132200211022 is a wasteful number, since it uses less digits than its factorization.

2132200211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072087 (or 1072081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2132200211022 its reverse (2201120022312), we get a palindrome (4333320233334).

The spelling of 2132200211022 in words is "two trillion, one hundred thirty-two billion, two hundred million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 277 342 378 399 513 554 798 831 1026 1197 1662 1939 2394 2493 3591 3878 4986 5263 5817 7182 7479 10526 11634 14958 15789 17451 31578 34902 36841 47367 52353 73682 94734 104706 110523 142101 221046 284202 331569 663138 994707 1071773 1989414 2143546 3215319 6430638 7502411 9645957 15004822 19291914 20363687 22507233 28937871 40727374 45014466 57875742 61091061 67521699 122182122 135043398 142545809 183273183 202565097 285091618 296881121 366546366 405130194 427637427 549819549 593762242 855274854 890643363 1099639098 1282912281 1781286726 2078167847 2565824562 2671930089 3848736843 4156335694 5343860178 5640741299 6234503541 7697473686 8015790267 11281482598 12469007082 16031580534 16922223897 18703510623 33844447794 37407021246 39485189093 50766671691 56110531869 78970378186 101533343382 112221063738 118455567279 152300015073 236911134558 304600030146 355366701837 710733403674 1066100105511 2132200211022