Search a number
-
+
103370112 = 2732611471
BaseRepresentation
bin1100010100101…
…00110110000000
321012111202010200
412022110312000
5202430320422
614131325200
72363426406
oct612246600
9235452120
10103370112
115339354a
122a750800
1318553761
14da2b476
15911d2ac
hex6294d80

103370112 has 96 divisors (see below), whose sum is σ = 302540160. Its totient is φ = 33868800.

The previous prime is 103370077. The next prime is 103370131. The reversal of 103370112 is 211073301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69537 + ... + 71007.

It is an arithmetic number, because the mean of its divisors is an integer number (3151460).

Almost surely, 2103370112 is an apocalyptic number.

103370112 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 103370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151270080).

103370112 is an abundant number, since it is smaller than the sum of its proper divisors (199170048).

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

103370112 is a wasteful number, since it uses less digits than its factorization.

103370112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103370112 is about 10167.1093236967. The cubic root of 103370112 is about 469.3156056780.

The spelling of 103370112 in words is "one hundred three million, three hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1471 1952 2196 2928 2942 3904 4392 4413 5856 5884 7808 8784 8826 11712 11768 13239 17568 17652 23424 23536 26478 35136 35304 47072 52956 70272 70608 89731 94144 105912 141216 179462 188288 211824 269193 282432 358924 423648 538386 564864 717848 807579 847296 1076772 1435696 1615158 1694592 2153544 2871392 3230316 4307088 5742784 6460632 8614176 11485568 12921264 17228352 25842528 34456704 51685056 103370112