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1001111202221 = 1379214982813
BaseRepresentation
bin11101001000101101110…
…00001010100110101101
310112201001011100100100212
432210112320022212231
5112400233431432341
62043523143232205
7132220316546444
oct16442670124655
93481034310325
101001111202221
113566291a1639
12142032148665
137353456c350
143664dc5dd5b
151b0940b15eb
hexe916e0a9ad

1001111202221 has 24 divisors (see below), whose sum is σ = 1099281317400. Its totient is φ = 906270678144.

The previous prime is 1001111202211. The next prime is 1001111202229. The reversal of 1001111202221 is 1222021111001.

1001111202221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9503520196 + 991607682025 = 97486^2 + 995795^2 .

It is a de Polignac number, because none of the positive numbers 2k-1001111202221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001111202196 and 1001111202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111202229) 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, 12047411 + ... + 12130223.

It is an arithmetic number, because the mean of its divisors is an integer number (45803388225).

Almost surely, 21001111202221 is an apocalyptic number.

It is an amenable number.

1001111202221 is a deficient number, since it is larger than the sum of its proper divisors (98170115179).

1001111202221 is an equidigital number, since it uses as much as digits as its factorization.

1001111202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83133 (or 83054 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001111202221 its reverse (1222021111001), we get a palindrome (2223132313222).

The spelling of 1001111202221 in words is "one trillion, one billion, one hundred eleven million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 79 149 1027 1937 6241 11771 81133 82813 153023 929909 1076569 6542227 12088817 12339137 85048951 160408781 516835933 974791823 6718867129 12672293699 77008554017 1001111202221