Search a number
-
+
13340102020032 = 263412797605873
BaseRepresentation
bin1100001000011111110000…
…0010101100101111000000
31202020022010122110020200210
43002013330002230233000
53222031012104120112
644212205215114120
72544535110152244
oct302077402545700
952208118406623
1013340102020032
1142835618a6207
1215b5499212940
13759c73a39658
143419430d0424
15182017780b3c
hexc21fc0acbc0

13340102020032 has 112 divisors (see below), whose sum is σ = 36169543603872. Its totient is φ = 4336686366720.

The previous prime is 13340102019947. The next prime is 13340102020067. The reversal of 13340102020032 is 23002020104331.

It is a junction number, because it is equal to n+sod(n) for n = 13340102019990 and 13340102020008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21715048 + ... + 22320920.

It is an arithmetic number, because the mean of its divisors is an integer number (322942353606).

Almost surely, 213340102020032 is an apocalyptic number.

13340102020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340102020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084771801936).

13340102020032 is an abundant number, since it is smaller than the sum of its proper divisors (22829441583840).

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

13340102020032 is a wasteful number, since it uses less digits than its factorization.

13340102020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608726 (or 608716 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13340102020032 its reverse (23002020104331), we get a palindrome (36342122124363).

The spelling of 13340102020032 in words is "thirteen trillion, three hundred forty billion, one hundred two million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 2797 3936 5594 7872 8391 11188 16782 22376 33564 44752 67128 89504 114677 134256 179008 229354 268512 344031 458708 537024 605873 688062 917416 1211746 1376124 1817619 1834832 2423492 2752248 3635238 3669664 4846984 5504496 7270476 7339328 9693968 11008992 14540952 19387936 22017984 24840793 29081904 38775872 49681586 58163808 74522379 99363172 116327616 149044758 198726344 298089516 397452688 596179032 794905376 1192358064 1589810752 1694626781 2384716128 3389253562 4769432256 5083880343 6778507124 10167760686 13557014248 20335521372 27114028496 40671042744 54228056992 69479698021 81342085488 108456113984 138959396042 162684170976 208439094063 277918792084 325368341952 416878188126 555837584168 833756376252 1111675168336 1667512752504 2223350336672 3335025505008 4446700673344 6670051010016 13340102020032