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1112120000211 = 3113759101353433
BaseRepresentation
bin10000001011101111100…
…001000111111011010011
310221022120112222120102110
4100023233201013323103
5121210110210001321
62210522331120403
7143230241013063
oct20135741077323
93838515876373
101112120000211
113997138245a0
1215b6528a3103
1380b45a66b2c
143bb810013a3
151dddea27176
hex102ef847ed3

1112120000211 has 128 divisors (see below), whose sum is σ = 1715020231680. Its totient is φ = 635019264000.

The previous prime is 1112120000209. The next prime is 1112120000237. The reversal of 1112120000211 is 1120000212111.

It is not a de Polignac number, because 1112120000211 - 21 = 1112120000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1112120000311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2568406251 + ... + 2568406683.

It is an arithmetic number, because the mean of its divisors is an integer number (13398595560).

Almost surely, 21112120000211 is an apocalyptic number.

1112120000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112120000211 is a deficient number, since it is larger than the sum of its proper divisors (602900231469).

1112120000211 is a wasteful number, since it uses less digits than its factorization.

1112120000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112120000211 its reverse (1120000212111), we get a palindrome (2232120212322).

The spelling of 1112120000211 in words is "one trillion, one hundred twelve billion, one hundred twenty million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 11 33 37 59 101 111 177 303 353 407 433 649 1059 1111 1221 1299 1947 2183 3333 3737 3883 4763 5959 6549 11211 11649 13061 14289 16021 17877 20827 24013 25547 35653 39183 41107 43733 48063 62481 65549 72039 76641 106959 123321 131199 143671 152849 176231 196647 220483 229097 281017 392183 431013 458547 481063 528693 661449 687291 770599 843051 945239 1176549 1319161 1443189 1618121 1681339 2103527 2311797 2425313 2580247 2835717 3957483 4854363 5044017 5655413 6310581 7275939 7740741 8476589 9018091 10397629 14510771 15437749 16966239 17799331 23138797 25429767 27054273 28382717 31192887 43532313 46313247 53397993 62209543 69416391 77830499 85148151 95469139 99199001 169815239 186628629 233491497 286407417 297597003 333669367 509445717 571196713 856135489 910827191 1001008101 1050160529 1713590139 2568406467 2732481573 3150481587 3670363037 6283163843 10019099101 11011089111 18849491529 30057297303 33700606067 101101818201 370706666737 1112120000211