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20116310541340 = 22513436173291481
BaseRepresentation
bin1001001001011101100011…
…00010110100010000011100
32122020002201021021012100011
410210232301202310100130
510114041200444310330
6110441145552413004
74144232633223016
oct444566142642034
978202637235304
1020116310541340
116456308962272
12230a813847164
13b2bc62cc8570
144d78c55a91b6
1524d410ea882a
hex124bb18b441c

20116310541340 has 96 divisors (see below), whose sum is σ = 46559506504896. Its totient is φ = 7253626705920.

The previous prime is 20116310541329. The next prime is 20116310541407. The reversal of 20116310541340 is 4314501361102.

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 31 ways as a sum of consecutive naturals, for example, 68868400 + ... + 69159880.

It is an arithmetic number, because the mean of its divisors is an integer number (484994859426).

Almost surely, 220116310541340 is an apocalyptic number.

20116310541340 is a gapful number since it is divisible by the number (20) 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 20116310541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279753252448).

20116310541340 is an abundant number, since it is smaller than the sum of its proper divisors (26443195963556).

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

20116310541340 is a wasteful number, since it uses less digits than its factorization.

20116310541340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297719 (or 297717 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20116310541340 in words is "twenty trillion, one hundred sixteen billion, three hundred ten million, five hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 6173 11180 12346 24692 30865 61730 80249 123460 160498 265439 291481 320996 401245 530878 582962 802490 1061756 1165924 1327195 1457405 1604980 2654390 2914810 3450707 3789253 5308780 5829620 6901414 7578506 12533683 13802828 15157012 17253535 18946265 25067366 34507070 37892530 50134732 62668415 69014140 75785060 125336830 162937879 250673660 325875758 651751516 814689395 1629378790 1799312213 3258757580 3598624426 7197248852 8996561065 17993122130 23391058769 35986244260 46782117538 77370425159 93564235076 116955293845 154740850318 233910587690 309481700636 386852125795 467821175380 773704251590 1005815527067 1547408503180 2011631054134 4023262108268 5029077635335 10058155270670 20116310541340