Search a number
-
+
103514446266 = 237113122332411
BaseRepresentation
bin110000001100111110…
…0010001100110111010
3100220012002200201012020
41200121330101212322
53143444144240031
6115315345455310
710323120163350
oct1403174214672
9326162621166
10103514446266
113a99a22a650
121808a941536
1399b896664a
14501dadd7d0
152a5ca4c096
hex1819f119ba

103514446266 has 128 divisors (see below), whose sum is σ = 267643256832. Its totient is φ = 25902072000.

The previous prime is 103514446261. The next prime is 103514446267. The reversal of 103514446266 is 662644415301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103514446261) 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, 3177601 + ... + 3210011.

It is an arithmetic number, because the mean of its divisors is an integer number (2090962944).

Almost surely, 2103514446266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103514446266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133821628416).

103514446266 is an abundant number, since it is smaller than the sum of its proper divisors (164128810566).

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

103514446266 is a wasteful number, since it uses less digits than its factorization.

103514446266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32688.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 103514446266 in words is "one hundred three billion, five hundred fourteen million, four hundred forty-six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 223 231 341 434 446 462 651 669 682 1023 1302 1338 1561 2046 2387 2453 3122 4683 4774 4906 6913 7161 7359 9366 13826 14322 14718 17171 20739 32411 34342 41478 48391 51513 64822 76043 96782 97233 103026 145173 152086 194466 226877 228129 290346 356521 453754 456258 532301 680631 713042 1004741 1064602 1069563 1361262 1596903 2009482 2139126 2495647 3014223 3193806 4991294 6028446 7033187 7227653 7486941 11052151 14066374 14455306 14973882 21099561 21682959 22104302 33156453 42199122 43365918 50593571 66312906 77365057 79504183 101187142 151780713 154730114 159008366 224057243 232095171 238512549 303561426 448114486 464190342 477025098 556529281 672171729 1113058562 1344343458 1568400701 1669587843 2464629673 3136801402 3339175686 4705202103 4929259346 7393889019 9410404206 14787778038 17252407711 34504815422 51757223133 103514446266