Search a number
-
+
1111201202112 = 26323972594131
BaseRepresentation
bin10000001010111000110…
…000001011111111000000
310221020012112002210101020
4100022320300023333000
5121201220001431422
62210251230105440
7143165413242321
oct20127060137700
93836175083336
101111201202112
11399292122a21
1215b43704b280
1380a2a5bb111
143bad4d90448
151dd8903595c
hex102b8c0bfc0

1111201202112 has 112 divisors (see below), whose sum is σ = 3099510419712. Its totient is φ = 350643363840.

The previous prime is 1111201202087. The next prime is 1111201202159. The reversal of 1111201202112 is 2112021021111.

It is a happy number.

It is a super-2 number, since 2×11112012021122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111201202091 and 1111201202100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 868714 + ... + 1725417.

It is an arithmetic number, because the mean of its divisors is an integer number (27674200176).

Almost surely, 21111201202112 is an apocalyptic number.

1111201202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111201202112 is an abundant number, since it is smaller than the sum of its proper divisors (1988309217600).

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

1111201202112 is a wasteful number, since it uses less digits than its factorization.

1111201202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594266 (or 2594256 counting only the distinct ones).

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

Adding to 1111201202112 its reverse (2112021021111), we get a palindrome (3223222223223).

The spelling of 1111201202112 in words is "one trillion, one hundred eleven billion, two hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 138 184 192 194 276 291 368 388 552 582 736 776 1104 1164 1472 1552 2208 2231 2328 3104 4416 4462 4656 6208 6693 8924 9312 13386 17848 18624 26772 35696 53544 71392 107088 142784 214176 428352 2594131 5188262 7782393 10376524 15564786 20753048 31129572 41506096 59665013 62259144 83012192 119330026 124518288 166024384 178995039 238660052 249036576 251630707 357990078 477320104 498073152 503261414 715980156 754892121 954640208 1006522828 1431960312 1509784242 1909280416 2013045656 2863920624 3019568484 3818560832 4026091312 5727841248 5787506261 6039136968 8052182624 11455682496 11575012522 12078273936 16104365248 17362518783 23150025044 24156547872 34725037566 46300050088 48313095744 69450075132 92600100176 138900150264 185200200352 277800300528 370400400704 555600601056 1111201202112