Search a number
-
+
20100332101131 = 32192913729586157
BaseRepresentation
bin1001001000111111110010…
…01001111001111000001011
32122011120110201000100000100
410210133321021321320023
510113310440004214011
6110425544243140443
74143125652556152
oct444377111717013
978146421010010
1020100332101131
11644a559502687
1223076b4674723
13b2a5b7850709
144d6c0b44a599
1524ccc8320d56
hex1247f9279e0b

20100332101131 has 48 divisors (see below), whose sum is σ = 31846540471200. Its totient is φ = 12167720861184.

The previous prime is 20100332101063. The next prime is 20100332101139. The reversal of 20100332101131 is 13110123300102.

20100332101131 is a `hidden beast` number, since 2 + 0 + 100 + 332 + 101 + 131 = 666.

It is not a de Polignac number, because 20100332101131 - 211 = 20100332099083 is a prime.

It is a super-2 number, since 2×201003321011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20100332101139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14113696 + ... + 15472461.

It is an arithmetic number, because the mean of its divisors is an integer number (663469593150).

Almost surely, 220100332101131 is an apocalyptic number.

20100332101131 is a deficient number, since it is larger than the sum of its proper divisors (11746208370069).

20100332101131 is a wasteful number, since it uses less digits than its factorization.

20100332101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29586348 (or 29586345 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20100332101131 its reverse (13110123300102), we get a palindrome (33210455401233).

The spelling of 20100332101131 in words is "twenty trillion, one hundred billion, three hundred thirty-two million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 29 57 87 137 171 261 411 551 1233 1653 2603 3973 4959 7809 11919 23427 35757 75487 226461 679383 29586157 88758471 266275413 562136983 857998553 1686410949 2573995659 4053303509 5059232847 7721986977 12159910527 16301972507 36479731581 48905917521 77012766671 117545801761 146717752563 231038300013 352637405283 693114900039 1057912215849 2233370233459 6700110700377 20100332101131