Search a number
-
+
10220012111101 = 131663600778697
BaseRepresentation
bin1001010010111000100000…
…1100010000010011111101
31100012000122012211111212211
42110232020030100103331
52314421041100023401
633423001520100421
72103241266416452
oct224561014202375
940160565744784
1010220012111101
113290312446511
121190859464711
13591987502a50
14274918d69829
1512aca5226951
hex94b883104fd

10220012111101 has 16 divisors (see below), whose sum is σ = 11014758436864. Its totient is φ = 9426495222144.

The previous prime is 10220012111081. The next prime is 10220012111117. The reversal of 10220012111101 is 10111121002201.

It is a happy number.

It is not a de Polignac number, because 10220012111101 - 217 = 10220011980029 is a prime.

It is a super-2 number, since 2×102200121111012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220012111171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129825985 + ... + 129904681.

It is an arithmetic number, because the mean of its divisors is an integer number (688422402304).

Almost surely, 210220012111101 is an apocalyptic number.

It is an amenable number.

10220012111101 is a deficient number, since it is larger than the sum of its proper divisors (794746325763).

10220012111101 is a wasteful number, since it uses less digits than its factorization.

10220012111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86380.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10220012111101 its reverse (10111121002201), we get a palindrome (20331133113302).

The spelling of 10220012111101 in words is "ten trillion, two hundred twenty billion, twelve million, one hundred eleven thousand, one hundred one".

Divisors: 1 13 1663 6007 21619 78091 78697 1023061 9989641 129865333 130873111 472732879 1701350443 6145527427 786154777777 10220012111101