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11210002122222 = 2332910185383089
BaseRepresentation
bin1010001100100000100000…
…1100011100010111101110
31110200122222022200211002000
42203020020030130113232
52432131041020402342
635501445345513130
72234616205601451
oct243101014342756
943618868624060
1011210002122222
113632153a54622
1213106a70427a6
136341389c4637
142aa7d1bad498
151468e7caa44c
hexa320831c5ee

11210002122222 has 128 divisors (see below), whose sum is σ = 26056093392000. Its totient is φ = 3567865190400.

The previous prime is 11210002122181. The next prime is 11210002122227. The reversal of 11210002122222 is 22222120001211.

It is a happy number.

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 = 11210002122195 and 11210002122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210002122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134874054 + ... + 134957142.

It is an arithmetic number, because the mean of its divisors is an integer number (203563229625).

Almost surely, 211210002122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210002122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13028046696000).

11210002122222 is an abundant number, since it is smaller than the sum of its proper divisors (14846091269778).

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

11210002122222 is a wasteful number, since it uses less digits than its factorization.

11210002122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84083 (or 84077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11210002122222 its reverse (22222120001211), we get a palindrome (33432122123433).

The spelling of 11210002122222 in words is "eleven trillion, two hundred ten billion, two million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 101 174 202 261 303 522 606 783 853 909 1566 1706 1818 2559 2727 2929 5118 5454 5858 7677 8787 15354 17574 23031 24737 26361 46062 49474 52722 74211 79083 83089 86153 148422 158166 166178 172306 222633 249267 258459 445266 498534 516918 667899 747801 775377 1335798 1495602 1550754 2243403 2326131 2409581 2498437 4486806 4652262 4819162 4996874 7228743 7495311 8391989 14457486 14990622 16783978 21686229 22485933 25175967 43372458 44971866 50351934 65058687 67457799 70874917 75527901 130117374 134915598 141749834 151055802 212624751 226583703 243367681 425249502 453167406 486735362 637874253 730103043 1275748506 1460206086 1913622759 2055372593 2190309129 3827245518 4110745186 4380618258 6166117779 6570927387 7158366617 12332235558 13141854774 14316733234 18498353337 21475099851 36996706674 42950199702 55495060011 64425299553 110990120022 128850599106 193275898659 207592631893 386551797318 415185263786 622777895679 1245555791358 1868333687037 3736667374074 5605001061111 11210002122222