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109913166 = 233113147127
BaseRepresentation
bin1101000110100…
…10010001001110
321122211011112000
412203102101032
5211114210131
614523453130
72503150356
oct643222116
9248734460
10109913166
1157052430
12309871a6
1319a0499c
1410851b66
1599b1ce6
hex68d244e

109913166 has 128 divisors (see below), whose sum is σ = 283115520. Its totient is φ = 31298400.

The previous prime is 109913147. The next prime is 109913201. The reversal of 109913166 is 661319901.

It is a self number, because there is not a number n which added to its sum of digits gives 109913166.

It is a congruent number.

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, 865395 + ... + 865521.

It is an arithmetic number, because the mean of its divisors is an integer number (2211840).

Almost surely, 2109913166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109913166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557760).

109913166 is an abundant number, since it is smaller than the sum of its proper divisors (173202354).

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

109913166 is a wasteful number, since it uses less digits than its factorization.

109913166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 109913166 is about 10483.9480158955. The cubic root of 109913166 is about 479.0158742885.

The spelling of 109913166 in words is "one hundred nine million, nine hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 47 54 62 66 93 94 99 127 141 186 198 254 279 282 297 341 381 423 517 558 594 682 762 837 846 1023 1034 1143 1269 1397 1457 1551 1674 2046 2286 2538 2794 2914 3069 3102 3429 3937 4191 4371 4653 5969 6138 6858 7874 8382 8742 9207 9306 11811 11938 12573 13113 13959 16027 17907 18414 23622 25146 26226 27918 32054 35433 35814 37719 39339 43307 48081 53721 65659 70866 75438 78678 86614 96162 106299 107442 129921 131318 144243 161163 185039 196977 212598 259842 288486 322326 370078 389763 393954 432729 555117 590931 779526 865458 1110234 1169289 1181862 1665351 1772793 2035429 2338578 3330702 3545586 4070858 4996053 6106287 9992106 12212574 18318861 36637722 54956583 109913166