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103012112112 = 24371323583359
BaseRepresentation
bin101111111110000000…
…0000001011011110000
3100211220002110111021120
41133330000001123300
53141432100041422
6115153443022240
710304510335320
oct1377400013360
9324802414246
10103012112112
113a761719558
1217b6a66a980
139938874cc0
144db30db280
152a2d8c245c
hex17fc0016f0

103012112112 has 80 divisors (see below), whose sum is σ = 327525703680. Its totient is φ = 27168028416.

The previous prime is 103012112107. The next prime is 103012112213. The reversal of 103012112112 is 211211210301.

It is a super-2 number, since 2×1030121121122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012112091 and 103012112100.

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, 11787312 + ... + 11796047.

It is an arithmetic number, because the mean of its divisors is an integer number (4094071296).

Almost surely, 2103012112112 is an apocalyptic number.

103012112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103012112112 is an abundant number, since it is smaller than the sum of its proper divisors (224513591568).

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

103012112112 is a wasteful number, since it uses less digits than its factorization.

103012112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23583390 (or 23583384 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 103012112112 its reverse (211211210301), we get a palindrome (314223322413).

It can be divided in two parts, 10301 and 2112112, that multiplied together give a palindrome (21756865712).

The spelling of 103012112112 in words is "one hundred three billion, twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 23583359 47166718 70750077 94333436 141500154 165083513 188666872 283000308 306583667 330167026 377333744 495250539 566000616 613167334 660334052 919751001 990501078 1132001232 1226334668 1320668104 1839502002 1981002156 2146085669 2452669336 2641336208 3679004004 3962004312 4292171338 4905338672 6438257007 7358008008 7924008624 8584342676 12876514014 14716016016 17168685352 25753028028 34337370704 51506056056 103012112112