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20115011400 = 23352113047729
BaseRepresentation
bin10010101110111100…
…101011011101001000
31220220211221110020020
4102232330223131020
5312143420331100
613123554300440
71311316530051
oct225674533510
956824843206
1020115011400
118592443870
123a94587720
131b87476013
14d8b6a3728
157cadd85a0
hex4aef2b748

20115011400 has 96 divisors (see below), whose sum is σ = 68025333600. Its totient is φ = 4876364800.

The previous prime is 20115011383. The next prime is 20115011431. The reversal of 20115011400 is 411051102.

It is a happy number.

It is a super-2 number, since 2×201150114002 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20115011400.

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 23 ways as a sum of consecutive naturals, for example, 1517265 + ... + 1530464.

It is an arithmetic number, because the mean of its divisors is an integer number (708597225).

Almost surely, 220115011400 is an apocalyptic number.

20115011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20115011400 is an abundant number, since it is smaller than the sum of its proper divisors (47910322200).

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

20115011400 is a wasteful number, since it uses less digits than its factorization.

20115011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047759 (or 3047750 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 20115011400 its reverse (411051102), we get a palindrome (20526062502).

The spelling of 20115011400 in words is "twenty billion, one hundred fifteen million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 3047729 6095458 9143187 12190916 15238645 18286374 24381832 30477290 33525019 36572748 45715935 60954580 67050038 73145496 76193225 91431870 100575057 121909160 134100076 152386450 167625095 182863740 201150114 228579675 268200152 304772900 335250190 365727480 402300228 457159350 502875285 609545800 670500380 804600456 838125475 914318700 1005750570 1341000760 1676250950 1828637400 2011501140 2514376425 3352501900 4023002280 5028752850 6705003800 10057505700 20115011400