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213114020 = 22574335401
BaseRepresentation
bin11001011001111…
…01110010100100
3112212000022110212
430230331302210
5414024122040
633051434552
75165303450
oct1454756244
9485008425
10213114020
11aa32a799
125b455a58
13351c9392
1420437660
1513a99d65
hexcb3dca4

213114020 has 48 divisors (see below), whose sum is σ = 523383168. Its totient is φ = 71366400.

The previous prime is 213113993. The next prime is 213114059. The reversal of 213114020 is 20411312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 213113986 and 213114004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11681 + ... + 23720.

It is an arithmetic number, because the mean of its divisors is an integer number (10903816).

Almost surely, 2213114020 is an apocalyptic number.

213114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213114020 is an abundant number, since it is smaller than the sum of its proper divisors (310269148).

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

213114020 is a wasteful number, since it uses less digits than its factorization.

213114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 35458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 213114020 is about 14598.4252575406. The cubic root of 213114020 is about 597.3158060411.

Adding to 213114020 its reverse (20411312), we get a palindrome (233525332).

The spelling of 213114020 in words is "two hundred thirteen million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 35401 70802 141604 177005 247807 354010 495614 708020 991228 1239035 1522243 2478070 3044486 4956140 6088972 7611215 10655701 15222430 21311402 30444860 42622804 53278505 106557010 213114020