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214211332411300 = 225271013029863259
BaseRepresentation
bin110000101101001011110110…
…011000000000111110100100
31001002110101220001202211122101
4300231023312120000332210
5211034114302044130200
62035331154431341444
763056154336565240
oct6055136630007644
91032411801684571
10214211332411300
1162288574739504
1220037711981884
13926b071294ac3
143ac7c53253420
1519b71dd26326a
hexc2d2f6600fa4

214211332411300 has 72 divisors (see below), whose sum is σ = 536503947174720. Its totient is φ = 72716718192000.

The previous prime is 214211332411283. The next prime is 214211332411309. The reversal of 214211332411300 is 3114233112412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (214211332411309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514860930 + ... + 1515002329.

It is an arithmetic number, because the mean of its divisors is an integer number (7451443710760).

Almost surely, 2214211332411300 is an apocalyptic number.

214211332411300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211332411300 is an abundant number, since it is smaller than the sum of its proper divisors (322292614763420).

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

214211332411300 is a wasteful number, since it uses less digits than its factorization.

214211332411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029863381 (or 3029863374 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 214211332411300 its reverse (3114233112412), we get a palindrome (217325565523712).

The spelling of 214211332411300 in words is "two hundred fourteen trillion, two hundred eleven billion, three hundred thirty-two million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 3029863259 6059726518 12119453036 15149316295 21209042813 30298632590 42418085626 60597265180 75746581475 84836171252 106045214065 151493162950 212090428130 302986325900 306016189159 424180856260 530226070325 612032378318 1060452140650 1224064756636 1530080945795 2120904281300 2142113324113 3060161891590 4284226648226 6120323783180 7650404728975 8568453296452 10710566620565 15300809457950 21421133241130 30601618915900 42842266482260 53552833102825 107105666205650 214211332411300