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100220010111 = 32135317219391
BaseRepresentation
bin101110101010110010…
…0111111111001111111
3100120200111122000101100
41131111210333321333
53120222310310421
6114012422344143
710145355013254
oct1352544777177
9316614560340
10100220010111
1139559645a41
121750b58b053
1395b2281940
144bca37142b
1529186e7c26
hex175593fe7f

100220010111 has 48 divisors (see below), whose sum is σ = 158948479872. Its totient is φ = 60468595200.

The previous prime is 100220010109. The next prime is 100220010133. The reversal of 100220010111 is 111010022001.

It is a happy number.

It is not a de Polignac number, because 100220010111 - 21 = 100220010109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220010093 and 100220010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220010211) 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, 10667226 + ... + 10676616.

It is an arithmetic number, because the mean of its divisors is an integer number (3311426664).

Almost surely, 2100220010111 is an apocalyptic number.

100220010111 is a deficient number, since it is larger than the sum of its proper divisors (58728469761).

100220010111 is a wasteful number, since it uses less digits than its factorization.

100220010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11184 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100220010111 its reverse (111010022001), we get a palindrome (211230032112).

It can be divided in two parts, 100220010 and 111, that added together give a square (100220121 = 100112).

The spelling of 100220010111 in words is "one hundred billion, two hundred twenty million, ten thousand, one hundred eleven".

Divisors: 1 3 9 13 39 53 117 159 477 689 1721 2067 5163 6201 9391 15489 22373 28173 67119 84519 91213 122083 201357 273639 366249 497723 820917 1098747 1185769 1493169 3557307 4479507 6470399 10671921 16161911 19411197 48485733 58233591 145457199 210104843 630314529 856581283 1890943587 2569743849 7709231547 11135556679 33406670037 100220010111