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2140120020 = 2235213716691
BaseRepresentation
bin111111110001111…
…1010001111010100
312112011000100202110
41333203322033110
513340332320040
6552210111020
7104014501653
oct17743721724
95464010673
102140120020
119a9050935
124b887b470
132814c720c
1416433119a
15c7d3e980
hex7f8fa3d4

2140120020 has 48 divisors (see below), whose sum is σ = 5995499328. Its totient is φ = 570397440.

The previous prime is 2140119979. The next prime is 2140120027. The reversal of 2140120020 is 200210412.

It is a super-2 number, since 2×21401200202 = 9160227400009600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2140119978 and 2140120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140120027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119875 + ... + 136565.

It is an arithmetic number, because the mean of its divisors is an integer number (124906236).

Almost surely, 22140120020 is an apocalyptic number.

2140120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140120020 is an abundant number, since it is smaller than the sum of its proper divisors (3855379308).

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

2140120020 is a wasteful number, since it uses less digits than its factorization.

2140120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18840 (or 18838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2140120020 is about 46261.4312359659. The cubic root of 2140120020 is about 1288.6828331855.

Adding to 2140120020 its reverse (200210412), we get a palindrome (2340330432).

The spelling of 2140120020 in words is "two billion, one hundred forty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2137 4274 6411 8548 10685 12822 16691 21370 25644 32055 33382 42740 50073 64110 66764 83455 100146 128220 166910 200292 250365 333820 500730 1001460 35668667 71337334 107006001 142674668 178343335 214012002 356686670 428024004 535030005 713373340 1070060010 2140120020