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100313311021 = 7211941197779
BaseRepresentation
bin101110101101100100…
…0111010011100101101
3100120221000012012011121
41131123020322130231
53120420201423041
6114025554220541
710150600034500
oct1353310723455
9316830165147
10100313311021
11395a7281330
1217536884751
1395c86bb191
144bd88db137
1529219c77d1
hex175b23a72d

100313311021 has 24 divisors (see below), whose sum is σ = 127435191840. Its totient is φ = 78082754400.

The previous prime is 100313311019. The next prime is 100313311067. The reversal of 100313311021 is 120113313001.

It is not a de Polignac number, because 100313311021 - 21 = 100313311019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313310986 and 100313311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313311321) 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, 408310 + ... + 606088.

It is an arithmetic number, because the mean of its divisors is an integer number (5309799660).

Almost surely, 2100313311021 is an apocalyptic number.

100313311021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100313311021 is a deficient number, since it is larger than the sum of its proper divisors (27121880819).

100313311021 is a wasteful number, since it uses less digits than its factorization.

100313311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198745 (or 198738 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100313311021 its reverse (120113313001), we get a palindrome (220426624022).

The spelling of 100313311021 in words is "one hundred billion, three hundred thirteen million, three hundred eleven thousand, twenty-one".

Divisors: 1 7 11 49 77 539 941 6587 10351 46109 72457 197779 507199 1384453 2175569 9691171 15228983 106602881 186110039 1302770273 2047210429 9119391911 14330473003 100313311021