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20115402000 = 2435317319379
BaseRepresentation
bin10010101110111110…
…001010110100010000
31220220212200022000220
4102232332022310100
5312144020331000
613124010513040
71311323044611
oct225676126420
956825608026
1020115402000
118592690281
123a94735780
131b87581a45
14d8b765c08
157cae641a0
hex4aef8ad10

20115402000 has 160 divisors (see below), whose sum is σ = 65230289280. Its totient is φ = 5332825600.

The previous prime is 20115401987. The next prime is 20115402023. The reversal of 20115402000 is 20451102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028311 + ... + 1047689.

It is an arithmetic number, because the mean of its divisors is an integer number (407689308).

Almost surely, 220115402000 is an apocalyptic number.

20115402000 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 20115402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32615144640).

20115402000 is an abundant number, since it is smaller than the sum of its proper divisors (45114887280).

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

20115402000 is a wasteful number, since it uses less digits than its factorization.

20115402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19578 (or 19562 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20115402000 its reverse (20451102), we get a palindrome (20135853102).

The spelling of 20115402000 in words is "twenty billion, one hundred fifteen million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 173 200 240 250 300 346 375 400 500 519 600 692 750 865 1000 1038 1200 1384 1500 1730 2000 2076 2595 2768 3000 3460 4152 4325 5190 6000 6920 8304 8650 10380 12975 13840 17300 19379 20760 21625 25950 34600 38758 41520 43250 51900 58137 64875 69200 77516 86500 96895 103800 116274 129750 155032 173000 193790 207600 232548 259500 290685 310064 346000 387580 465096 484475 519000 581370 775160 930192 968950 1038000 1162740 1453425 1550320 1937900 2325480 2422375 2906850 3352567 3875800 4650960 4844750 5813700 6705134 7267125 7751600 9689500 10057701 11627400 13410268 14534250 16762835 19379000 20115402 23254800 26820536 29068500 33525670 38758000 40230804 50288505 53641072 58137000 67051340 80461608 83814175 100577010 116274000 134102680 160923216 167628350 201154020 251442525 268205360 335256700 402308040 419070875 502885050 670513400 804616080 838141750 1005770100 1257212625 1341026800 1676283500 2011540200 2514425250 3352567000 4023080400 5028850500 6705134000 10057701000 20115402000