Search a number
-
+
102404340403134 = 237111912684943223
BaseRepresentation
bin10111010010001011011110…
…010101010100101110111110
3111102120202111112222002000020
4113102023132111110232332
5101410243042120400014
61001443523213513010
730366320006312010
oct2722133625245676
9442522445862006
10102404340403134
112a6a1489533490
12b59a7924a2766
13451a8c3313013
141b4057a0a81b0
15bc8b8a25b1a9
hex5d22de554bbe

102404340403134 has 128 divisors (see below), whose sum is σ = 256698276249600. Its totient is φ = 26457673036800.

The previous prime is 102404340403117. The next prime is 102404340403147. The reversal of 102404340403134 is 431304043404201.

102404340403134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 102404340403095 and 102404340403104.

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, 2369187847 + ... + 2369231069.

It is an arithmetic number, because the mean of its divisors is an integer number (2005455283200).

Almost surely, 2102404340403134 is an apocalyptic number.

102404340403134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102404340403134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128349138124800).

102404340403134 is an abundant number, since it is smaller than the sum of its proper divisors (154293935846466).

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

102404340403134 is a wasteful number, since it uses less digits than its factorization.

102404340403134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70286.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 102404340403134 its reverse (431304043404201), we get a palindrome (533708383807335).

The spelling of 102404340403134 in words is "one hundred two trillion, four hundred four billion, three hundred forty million, four hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 191 231 382 462 573 1146 1337 2101 2674 4011 4202 6303 8022 12606 14707 26849 29414 43223 44121 53698 80547 86446 88242 129669 161094 187943 259338 295339 302561 375886 475453 563829 590678 605122 886017 907683 950906 1127658 1426359 1772034 1815366 2067373 2852718 3328171 4134746 5128159 6202119 6656342 8255593 9984513 10256318 12404238 15384477 16511186 19969026 24766779 30768954 35897113 49533558 56409749 57789151 71794226 90811523 107691339 112819498 115578302 169229247 173367453 181623046 215382678 272434569 338458494 346734906 394868243 544869138 635680661 789736486 1160494327 1184604729 1271361322 1907041983 2320988654 2369209458 3481482981 3814083966 6962965962 8123460289 12765437597 16246920578 24370380867 25530875194 38296312791 48740761734 76592625582 89358063179 178716126358 221654416457 268074189537 443308832914 536148379074 664963249371 1329926498742 1551580915199 2438198581027 3103161830398 4654742745597 4876397162054 7314595743081 9309485491194 14629191486162 17067390067189 34134780134378 51202170201567 102404340403134