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103034112 = 2831923307
BaseRepresentation
bin1100010010000…
…10110100000000
321011212200020020
412021002310000
5202334042422
614120213440
72360526666
oct611026400
9234780206
10103034112
1153184065
122a60a280
131846683c
14d980c36
1590a395c
hex6242d00

103034112 has 144 divisors (see below), whose sum is σ = 302184960. Its totient is φ = 31021056.

The previous prime is 103034101. The next prime is 103034117. The reversal of 103034112 is 211430301.

It is a junction number, because it is equal to n+sod(n) for n = 103034091 and 103034100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103034117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335463 + ... + 335769.

Almost surely, 2103034112 is an apocalyptic number.

103034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092480).

103034112 is an abundant number, since it is smaller than the sum of its proper divisors (199150848).

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

103034112 is a wasteful number, since it uses less digits than its factorization.

103034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103034112 is about 10150.5720035868. The cubic root of 103034112 is about 468.8065571580.

Adding to 103034112 its reverse (211430301), we get a palindrome (314464413).

The spelling of 103034112 in words is "one hundred three million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 307 368 384 437 456 552 608 614 736 768 874 912 921 1104 1216 1228 1311 1472 1748 1824 1842 2208 2432 2456 2622 2944 3496 3648 3684 4416 4864 4912 5244 5833 5888 6992 7061 7296 7368 8832 9824 10488 11666 13984 14122 14592 14736 17499 17664 19648 20976 21183 23332 27968 28244 29472 34998 39296 41952 42366 46664 55936 56488 58944 69996 78592 83904 84732 93328 111872 112976 117888 134159 139992 167808 169464 186656 225952 235776 268318 279984 335616 338928 373312 402477 451904 536636 559968 677856 746624 804954 903808 1073272 1119936 1355712 1493248 1609908 1807616 2146544 2239872 2711424 3219816 4293088 4479744 5422848 6439632 8586176 12879264 17172352 25758528 34344704 51517056 103034112