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112121112103 = 711132371113607
BaseRepresentation
bin110100001101011110…
…0000110011000100111
3101201101220122122011121
41220122330012120213
53314111001041403
6123301400314411
711046315504520
oct1503274063047
9351356578147
10112121112103
1143606499020
1219891172a07
13a75aa9a420
1455d8ba7847
152db34303bd
hex1a1af06627

112121112103 has 128 divisors (see below), whose sum is σ = 160972406784. Its totient is φ = 75256473600.

The previous prime is 112121112101. The next prime is 112121112113. The reversal of 112121112103 is 301211121211.

It is a happy number.

It is not a de Polignac number, because 112121112103 - 21 = 112121112101 is a prime.

It is a super-2 number, since 2×1121211121032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121112101) 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, 184713226 + ... + 184713832.

It is an arithmetic number, because the mean of its divisors is an integer number (1257596928).

Almost surely, 2112121112103 is an apocalyptic number.

112121112103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112121112103 is a deficient number, since it is larger than the sum of its proper divisors (48851294681).

112121112103 is a wasteful number, since it uses less digits than its factorization.

112121112103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 112121112103 its reverse (301211121211), we get a palindrome (413332233314).

The spelling of 112121112103 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred three".

Divisors: 1 7 11 13 23 71 77 91 113 143 161 253 299 497 607 781 791 923 1001 1243 1469 1633 1771 2093 2599 3289 4249 5467 6461 6677 7891 8023 8701 10153 10283 11431 13961 16159 17963 18193 21229 23023 28589 33787 43097 46739 55237 56161 68591 71071 86801 88253 97727 104299 113113 125741 148603 153571 181493 184529 200123 233519 236509 301679 371657 474067 480137 560261 607607 617771 730093 754501 891683 991231 1074997 1147289 1270451 1291703 1577593 1634633 1996423 2029819 2398877 2601599 3318469 3921827 4869961 5281507 6162871 6241781 6938617 8031023 9808513 10903541 11043151 12886003 13974961 14208733 16792139 17353523 20508709 26387647 34089727 43140097 53569571 63309493 68659591 76324787 90202021 112009103 121474661 141746033 143560963 184713529 225595799 374986997 443166451 696404423 784063721 992222231 1232100133 1456118339 1579170593 4874830961 8624700931 10192828373 16017301729 112121112103