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103155066 = 23371953271
BaseRepresentation
bin1100010011000…
…00010101111010
321012002211011000
412021200111322
5202401430231
614122545430
72361542430
oct611402572
9235084130
10103155066
1153256a23
122a668276
13184a9901
14d9b2d50
1590c96e6
hex626057a

103155066 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 27293760.

The previous prime is 103155061. The next prime is 103155067. The reversal of 103155066 is 660551301.

It is a happy number.

103155066 is a `hidden beast` number, since 103 + 1 + 550 + 6 + 6 = 666.

103155066 is a nontrivial binomial coefficient, being equal to C(14364, 2).

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

It is not an unprimeable number, because it can be changed into a prime (103155061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380511 + ... + 380781.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2103155066 is an apocalyptic number.

103155066 is the 14363-rd triangular number and also the 7182-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103155066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

103155066 is an abundant number, since it is smaller than the sum of its proper divisors (178854534).

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

103155066 is a wasteful number, since it uses less digits than its factorization.

103155066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 103155066 is about 10156.5282454193. The cubic root of 103155066 is about 468.9899328478.

The spelling of 103155066 in words is "one hundred three million, one hundred fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 53 54 57 63 106 114 126 133 159 171 189 266 271 318 342 371 378 399 477 513 542 742 798 813 954 1007 1026 1113 1197 1431 1626 1897 2014 2226 2394 2439 2862 3021 3339 3591 3794 4878 5149 5691 6042 6678 7049 7182 7317 9063 10017 10298 11382 14098 14363 14634 15447 17073 18126 20034 21147 27189 28726 30894 34146 36043 42294 43089 46341 51219 54378 63441 72086 86178 92682 100541 102438 108129 126882 129267 139023 190323 201082 216258 258534 272897 278046 301623 324387 380646 387801 545794 603246 648774 775602 818691 904869 973161 1637382 1809738 1910279 1946322 2456073 2714607 3820558 4912146 5429214 5730837 7368219 11461674 14736438 17192511 34385022 51577533 103155066