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2101424040 = 233351945763
BaseRepresentation
bin111110101000001…
…0010111110101000
312102110012101212000
41331100102332220
513300431032130
6544304451000
7103034544462
oct17520227650
95373171760
102101424040
11989220a91
124a7919a60
132764990a1
1415d13b132
15c4749260
hex7d412fa8

2101424040 has 64 divisors (see below), whose sum is σ = 7004750400. Its totient is φ = 560379456.

The previous prime is 2101424029. The next prime is 2101424047. The reversal of 2101424040 is 404241012.

2101424040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2101424047) 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, 971802 + ... + 973961.

It is an arithmetic number, because the mean of its divisors is an integer number (109449225).

Almost surely, 22101424040 is an apocalyptic number.

2101424040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101424040 is an abundant number, since it is smaller than the sum of its proper divisors (4903326360).

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

2101424040 is a wasteful number, since it uses less digits than its factorization.

2101424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945783 (or 1945773 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2101424040 is about 45841.2918666130. The cubic root of 2101424040 is about 1280.8685592585.

Adding to 2101424040 its reverse (404241012), we get a palindrome (2505665052).

It can be divided in two parts, 21014 and 24040, that added together give a palindrome (45054).

The spelling of 2101424040 in words is "two billion, one hundred one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1945763 3891526 5837289 7783052 9728815 11674578 15566104 17511867 19457630 23349156 29186445 35023734 38915260 46698312 52535601 58372890 70047468 77830520 87559335 105071202 116745780 140094936 175118670 210142404 233491560 262678005 350237340 420284808 525356010 700474680 1050712020 2101424040