Search a number
-
+
20110010221119 = 37132272331392733
BaseRepresentation
bin1001001001010001110100…
…00001000000001000111111
32122012111110012002202202210
410210220322001000020333
510113440300104033434
6110434224450551503
74143620541332340
oct444507201001077
978174405082683
1020110010221119
116453675559455
122309555898593
13b2b49a94c030
144d74889420c7
1524d192cebee9
hex124a3a04023f

20110010221119 has 64 divisors (see below), whose sum is σ = 33288704676864. Its totient is φ = 10515416288256.

The previous prime is 20110010221051. The next prime is 20110010221177. The reversal of 20110010221119 is 91112201001102.

It is not a de Polignac number, because 20110010221119 - 29 = 20110010220607 is a prime.

It is a super-2 number, since 2×201100102211192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20110010221095 and 20110010221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110010221219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13742877 + ... + 15135609.

It is an arithmetic number, because the mean of its divisors is an integer number (520136010576).

Almost surely, 220110010221119 is an apocalyptic number.

20110010221119 is a deficient number, since it is larger than the sum of its proper divisors (13178694455745).

20110010221119 is a wasteful number, since it uses less digits than its factorization.

20110010221119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393216.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 20110010221119 in words is "twenty trillion, one hundred ten billion, ten million, two hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 3 7 13 21 39 91 227 233 273 681 699 1589 1631 2951 3029 4767 4893 8853 9087 20657 21203 52891 61971 63609 158673 370237 687583 1110711 1392733 2062749 4178199 4813081 9749131 14439243 18105529 29247393 54316587 126738703 316150391 324506789 380216109 948451173 973520367 2213052737 2271547523 4109955083 4218588257 6639158211 6814642569 12329865249 12655764771 28769685581 29530117799 73663041103 86309056743 88590353397 220989123309 515641287721 957619534339 1546923863163 2872858603017 6703336740373 20110010221119