Search a number
-
+
214032034100 = 225219112648439
BaseRepresentation
bin1100011101010101001…
…1011010100100110100
3202110110021000212121002
43013111103122210310
512001314200042400
6242154105142432
721314625162263
oct3072523324464
9673407025532
10214032034100
118285255a0a5
1235592a8aa18
131724c465b31
14a5059365da
15587a2d3ed5
hex31d54da934

214032034100 has 36 divisors (see below), whose sum is σ = 488894229600. Its totient is φ = 81106875360.

The previous prime is 214032034079. The next prime is 214032034123. The reversal of 214032034100 is 1430230412.

214032034100 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56322320 + ... + 56326119.

Almost surely, 2214032034100 is an apocalyptic number.

214032034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214032034100 is an abundant number, since it is smaller than the sum of its proper divisors (274862195500).

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

214032034100 is a wasteful number, since it uses less digits than its factorization.

214032034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112648472 (or 112648465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214032034100 its reverse (1430230412), we get a palindrome (215462264512).

The spelling of 214032034100 in words is "two hundred fourteen billion, thirty-two million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 112648439 225296878 450593756 563242195 1126484390 2140320341 2252968780 2816210975 4280640682 5632421950 8561281364 10701601705 11264843900 21403203410 42806406820 53508008525 107016017050 214032034100