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1111022002212 = 223232179977761
BaseRepresentation
bin10000001010101110000…
…100100110000000100100
310221012202000220111022220
4100022232010212000210
5121200333113032322
62210221345152340
7143161106125533
oct20125604460044
93835660814286
101111022002212
113991aaa57431
1215b3a702b6b0
13809cc437485
143bab926431a
151dd7843955c
hex102ae126024

1111022002212 has 72 divisors (see below), whose sum is σ = 2725140025440. Its totient is φ = 352259550720.

The previous prime is 1111022002201. The next prime is 1111022002289. The reversal of 1111022002212 is 2122002201111.

It is a super-2 number, since 2×11110220022122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111022002191 and 1111022002200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647412 + ... + 1625172.

It is an arithmetic number, because the mean of its divisors is an integer number (37849167020).

Almost surely, 21111022002212 is an apocalyptic number.

1111022002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111022002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362570012720).

1111022002212 is an abundant number, since it is smaller than the sum of its proper divisors (1614118023228).

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

1111022002212 is a wasteful number, since it uses less digits than its factorization.

1111022002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977993 (or 977968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1111022002212 its reverse (2122002201111), we get a palindrome (3233024203323).

The spelling of 1111022002212 in words is "one trillion, one hundred eleven billion, twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 276 358 529 537 716 1058 1074 1587 2116 2148 3174 4117 6348 8234 12351 16468 24702 49404 94691 189382 284073 378764 568146 977761 1136292 1955522 2933283 3911044 5866566 11733132 22488503 44977006 67465509 89954012 134931018 175019219 269862036 350038438 517235569 525057657 700076876 1034471138 1050115314 1551706707 2068942276 2100230628 3103413414 4025442037 6206826828 8050884074 12076326111 16101768148 24152652222 48305304444 92585166851 185170333702 277755500553 370340667404 555511001106 1111022002212