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102411870 = 2351123103131
BaseRepresentation
bin1100001101010…
…10111001011110
321010201001200020
412012222321132
5202204134440
614055013010
72352325611
oct606527136
9233631606
10102411870
1152899610
122a36a166
13182a9552
14d85c178
158ece3d0
hex61aae5e

102411870 has 128 divisors (see below), whose sum is σ = 284663808. Its totient is φ = 23337600.

The previous prime is 102411857. The next prime is 102411871. The reversal of 102411870 is 78114201.

It is a super-2 number, since 2×1024118702 = 20976382233793800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102411870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411871) 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, 781705 + ... + 781835.

It is an arithmetic number, because the mean of its divisors is an integer number (2223936).

Almost surely, 2102411870 is an apocalyptic number.

102411870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102411870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142331904).

102411870 is an abundant number, since it is smaller than the sum of its proper divisors (182251938).

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

102411870 is a wasteful number, since it uses less digits than its factorization.

102411870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 102411870 is about 10119.8749992280. The cubic root of 102411870 is about 467.8609145461.

The spelling of 102411870 in words is "one hundred two million, four hundred eleven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 103 110 115 131 138 165 206 230 253 262 309 330 345 393 506 515 618 655 690 759 786 1030 1133 1265 1310 1441 1518 1545 1965 2266 2369 2530 2882 3013 3090 3399 3795 3930 4323 4738 5665 6026 6798 7107 7205 7590 8646 9039 11330 11845 13493 14214 14410 15065 16995 18078 21615 23690 26059 26986 30130 33143 33990 35535 40479 43230 45195 52118 66286 67465 71070 78177 80958 90390 99429 130295 134930 148423 156354 165715 198858 202395 260590 296846 310339 331430 390885 404790 445269 497145 620678 742115 781770 890538 931017 994290 1484230 1551695 1862034 2226345 3103390 3413729 4452690 4655085 6827458 9310170 10241187 17068645 20482374 34137290 51205935 102411870