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11011200122112 = 28322962609171
BaseRepresentation
bin1010000000111011111010…
…1010111111110100000000
31102222122211110122211110220
42200032332222333310000
52420401414212401422
635230250413023040
72214350542512501
oct240167652776400
942878743584426
1011011200122112
113565907453483
12129a064784a80
1361b475949448
142a0d32c5aba8
1514165eac8e5c
hexa03beabfd00

11011200122112 has 72 divisors (see below), whose sum is σ = 29433823940640. Its totient is φ = 3654372034560.

The previous prime is 11011200122077. The next prime is 11011200122113. The reversal of 11011200122112 is 21122100211011.

It is a happy number.

11011200122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110112001221122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011200122091 and 11011200122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011200122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31128714 + ... + 31480457.

Almost surely, 211011200122112 is an apocalyptic number.

11011200122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11011200122112 is an abundant number, since it is smaller than the sum of its proper divisors (18422623818528).

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

11011200122112 is an equidigital number, since it uses as much as digits as its factorization.

11011200122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62609419 (or 62609405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011200122112 its reverse (21122100211011), we get a palindrome (32133300333123).

The spelling of 11011200122112 in words is "eleven trillion, eleven billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 687 768 916 1374 1832 2748 3664 5496 7328 10992 14656 21984 29312 43968 58624 87936 175872 62609171 125218342 187827513 250436684 375655026 500873368 751310052 1001746736 1502620104 2003493472 3005240208 4006986944 6010480416 8013973888 12020960832 14337500159 16027947776 24041921664 28675000318 43012500477 48083843328 57350000636 86025000954 114700001272 172050001908 229400002544 344100003816 458800005088 688200007632 917600010176 1376400015264 1835200020352 2752800030528 3670400040704 5505600061056 11011200122112