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1011221112222 = 23523719125821
BaseRepresentation
bin11101011011100010111…
…10011010010110011110
310120200010201220222200000
432231301132122112132
5113031440101042342
62052314253515130
7133026000426636
oct16556136322636
93520121828600
101011221112222
1135a946a56662
12143b93aa2aa6
1374485c5cc09
1436d2c8336c6
151b48693044c
hexeb7179a59e

1011221112222 has 96 divisors (see below), whose sum is σ = 2374230942720. Its totient is φ = 321967340640.

The previous prime is 1011221112221. The next prime is 1011221112259. The reversal of 1011221112222 is 2222111221101.

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 = 1011221112195 and 1011221112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221112221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7974072 + ... + 8099892.

It is an arithmetic number, because the mean of its divisors is an integer number (24731572320).

Almost surely, 21011221112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011221112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187115471360).

1011221112222 is an abundant number, since it is smaller than the sum of its proper divisors (1363009830498).

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

1011221112222 is a wasteful number, since it uses less digits than its factorization.

1011221112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126580 (or 126568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011221112222 its reverse (2222111221101), we get a palindrome (3233332333323).

The spelling of 1011221112222 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 719 1242 1438 1863 2157 3726 4314 5589 6471 11178 12942 16537 19413 33074 38826 49611 58239 99222 116478 125821 148833 174717 251642 297666 349434 377463 446499 754926 892998 1132389 1339497 2264778 2678994 2893883 3397167 4018491 5787766 6794334 8036982 8681649 10191501 17363298 20383002 26044947 30574503 52089894 61149006 78134841 90465299 156269682 180930598 234404523 271395897 468809046 542791794 703213569 814187691 1406427138 1628375382 2080701877 2442563073 4161403754 4885126146 6242105631 7327689219 12484211262 14655378438 18726316893 21983067657 37452633786 43966135314 56178950679 112357901358 168536852037 337073704074 505610556111 1011221112222