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102855332382 = 231143263137803
BaseRepresentation
bin101111111001010100…
…1111101001000011110
3100211111011110020220220
41133302221331020132
53141121431114012
6115130122422210
710300564620465
oct1376251751036
9324434406826
10102855332382
113a691176630
1217b26061966
13991224122a
144d9a3699dc
152a1ec5408c
hex17f2a7d21e

102855332382 has 64 divisors (see below), whose sum is σ = 230505302016. Its totient is φ = 30327464160.

The previous prime is 102855332351. The next prime is 102855332443. The reversal of 102855332382 is 283233558201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677493 + ... + 815295.

It is an arithmetic number, because the mean of its divisors is an integer number (3601645344).

Almost surely, 2102855332382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102855332382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115252651008).

102855332382 is an abundant number, since it is smaller than the sum of its proper divisors (127649969634).

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

102855332382 is a wasteful number, since it uses less digits than its factorization.

102855332382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138125.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 102855332382 in words is "one hundred two billion, eight hundred fifty-five million, three hundred thirty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 263 473 526 789 946 1419 1578 2838 2893 5786 8679 11309 17358 22618 33927 67854 124399 137803 248798 275606 373197 413409 746394 826818 1515833 3031666 4547499 5925529 9094998 11851058 17776587 35553174 36242189 65180819 72484378 108726567 130361638 195542457 217453134 391084914 398664079 797328158 1195992237 1558414127 2391984474 3116828254 4675242381 9350484762 17142555397 34285110794 51427666191 102855332382