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1112112112111 = 71121310129901
BaseRepresentation
bin10000001011101111000…
…011000010000111101111
310221022120000010210222121
4100023233003002013233
5121210101200041421
62210521450053411
7143230113660520
oct20135703020757
93838500123877
101112112112111
1139970a327100
1215b65011a267
1380b44234610
143bb7dd4a847
151ddddeb9d41
hex102ef0c21ef

1112112112111 has 72 divisors (see below), whose sum is σ = 1519694478176. Its totient is φ = 791920800000.

The previous prime is 1112112112103. The next prime is 1112112112157.

1112112112111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1112112112111 - 23 = 1112112112103 is a prime.

It is a super-3 number, since 3×11121121121113 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112112142111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112318261 + ... + 112328161.

Almost surely, 21112112112111 is an apocalyptic number.

1112112112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112112112111 is a deficient number, since it is larger than the sum of its proper divisors (407582366065).

1112112112111 is a wasteful number, since it uses less digits than its factorization.

1112112112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10033 counting only the distinct ones).

The product of its digits is 8, while the sum is 16.

The spelling of 1112112112111 in words is "one trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 9901 10201 11011 12221 14443 69307 71407 85547 101101 108911 112211 128713 132613 158873 762377 785477 900991 928291 1000001 1112111 1198021 1234321 1415843 1458743 7000007 8386147 8640247 9910901 10211201 11000011 13000013 15574273 16046173 77000077 91000091 101000101 109019911 112323211 121000121 143000143 707000707 847000847 1001001001 1111001111 1313001313 1573001573 7777007777 9191009191 11011011011 12221012221 14443014443 85547085547 101101101101 158873158873 1112112112111