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214200124134210 = 232511302572105717
BaseRepresentation
bin110000101101000001011010…
…010011110101001101000010
31001002102022221221102100221200
4300231001122103311031002
5211033423323234243320
62035322102323202030
763055306521032454
oct6055013223651502
91032368857370850
10214200124134210
1162283842984a95
1220035504216316
139269ca6175896
143ac74ac8482d4
1519b6c84282290
hexc2d05a4f5342

214200124134210 has 48 divisors (see below), whose sum is σ = 556921079967096. Its totient is φ = 57119955439104.

The previous prime is 214200124134193. The next prime is 214200124134211. The reversal of 214200124134210 is 12431421002412.

214200124134210 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 0 + 12 + 413 + 4 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180760146315849 + 33439977818361 = 13444707^2 + 5782731^2 .

It is a super-2 number, since 2×2142001241342102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214200124134211) 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, 100670272 + ... + 102775988.

Almost surely, 2214200124134210 is an apocalyptic number.

214200124134210 is an abundant number, since it is smaller than the sum of its proper divisors (342720955832886).

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

214200124134210 is a wasteful number, since it uses less digits than its factorization.

214200124134210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235987 (or 3235984 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214200124134210 its reverse (12431421002412), we get a palindrome (226631545136622).

The spelling of 214200124134210 in words is "two hundred fourteen trillion, two hundred billion, one hundred twenty-four million, one hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1130257 2105717 2260514 3390771 4211434 5651285 6317151 6781542 10172313 10528585 11302570 12634302 16953855 18951453 20344626 21057170 31585755 33907710 37902906 50861565 63171510 94757265 101723130 189514530 2380001379269 4760002758538 7140004137807 11900006896345 14280008275614 21420012413421 23800013792690 35700020689035 42840024826842 71400041378070 107100062067105 214200124134210