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103012112 = 24721759131
BaseRepresentation
bin1100010001111…
…01011100010000
321011211120001102
412020331130100
5202332341422
614115523532
72360405600
oct610753420
9234746042
10103012112
1153169585
122a5b95a8
1318459818
14d976c00
15909c192
hex623d710

103012112 has 120 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 40535040.

The previous prime is 103012097. The next prime is 103012121. The reversal of 103012112 is 211210301.

It is a super-2 number, since 2×1030121122 = 21222990437401088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012093 and 103012102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786287 + ... + 786417.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2103012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

103012112 is an abundant number, since it is smaller than the sum of its proper divisors (148891408).

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

103012112 is a wasteful number, since it uses less digits than its factorization.

103012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 103012112 is about 10149.4882629618. The cubic root of 103012112 is about 468.7731880203.

Adding to 103012112 its reverse (211210301), we get a palindrome (314222413).

It can be divided in two parts, 10301 and 2112, that multiplied together give a palindrome (21755712).

The spelling of 103012112 in words is "one hundred three million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 59 68 98 112 118 119 131 136 196 236 238 262 272 392 413 472 476 524 784 826 833 917 944 952 1003 1048 1652 1666 1834 1904 2006 2096 2227 2891 3304 3332 3668 4012 4454 5782 6419 6608 6664 7021 7336 7729 8024 8908 11564 12838 13328 14042 14672 15458 15589 16048 17816 23128 25676 28084 30916 31178 35632 46256 49147 51352 54103 56168 61832 62356 98294 102704 108206 109123 112336 123664 124712 131393 196588 216412 218246 249424 262786 378721 393176 432824 436492 525572 757442 786352 865648 872984 919751 1051144 1514884 1745968 1839502 2102288 3029768 3679004 6059536 6438257 7358008 12876514 14716016 25753028 51506056 103012112