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2141314020 = 22325117110159
BaseRepresentation
bin111111110100001…
…1101101111100100
312112020021000121200
41333220131233210
513341134022040
6552251442500
7104030604006
oct17750355744
95466230550
102141314020
119a9796a0a
124b9156430
13281824821
14164562376
15c7ec8630
hex7fa1dbe4

2141314020 has 72 divisors (see below), whose sum is σ = 6501505920. Its totient is φ = 570473280.

The previous prime is 2141314009. The next prime is 2141314103. The reversal of 2141314020 is 204131412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2141313984 and 2141314002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205701 + ... + 215859.

Almost surely, 22141314020 is an apocalyptic number.

2141314020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141314020 is an abundant number, since it is smaller than the sum of its proper divisors (4360191900).

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

2141314020 is a wasteful number, since it uses less digits than its factorization.

2141314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11345 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141314020 is about 46274.3343550180. The cubic root of 2141314020 is about 1288.9224461085.

Adding to 2141314020 its reverse (204131412), we get a palindrome (2345445432).

The spelling of 2141314020 in words is "two billion, one hundred forty-one million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1171 2342 3513 4684 5855 7026 10159 10539 11710 14052 17565 20318 21078 23420 30477 35130 40636 42156 50795 52695 60954 70260 91431 101590 105390 121908 152385 182862 203180 210780 304770 365724 457155 609540 914310 1828620 11896189 23792378 35688567 47584756 59480945 71377134 107065701 118961890 142754268 178442835 214131402 237923780 356885670 428262804 535328505 713771340 1070657010 2141314020