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109903122 = 23373183113
BaseRepresentation
bin1101000110011…
…11110100010010
321122210122202000
412203033310102
5211113344442
614523334430
72503106160
oct643176422
9248718660
10109903122
115704592a
1230981416
1319a00244
141084c230
1599add4c
hex68cfd12

109903122 has 128 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 29756160.

The previous prime is 109903117. The next prime is 109903139. The reversal of 109903122 is 221309901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972538 + ... + 972650.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2109903122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109903122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

109903122 is an abundant number, since it is smaller than the sum of its proper divisors (184271598).

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

109903122 is a wasteful number, since it uses less digits than its factorization.

109903122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109903122 is about 10483.4689869337. The cubic root of 109903122 is about 479.0012828245.

The spelling of 109903122 in words is "one hundred nine million, nine hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 83 93 113 126 166 186 189 217 226 249 279 339 378 434 498 558 581 651 678 747 791 837 1017 1162 1302 1494 1582 1674 1743 1953 2034 2241 2373 2573 3051 3486 3503 3906 4482 4746 5146 5229 5859 6102 7006 7119 7719 9379 10458 10509 11718 14238 15438 15687 18011 18758 21018 21357 23157 24521 28137 31374 31527 36022 42714 46314 49042 54033 56274 63054 65653 69471 73563 84411 94581 108066 131306 138942 147126 162099 168822 189162 196959 220689 253233 290749 324198 393918 441378 486297 506466 581498 590877 662067 872247 972594 1181754 1324134 1744494 1772631 2035243 2616741 3545262 4070486 5233482 6105729 7850223 12211458 15700446 18317187 36634374 54951561 109903122