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101311021 = 7192333119
BaseRepresentation
bin1100000100111…
…10001000101101
321001122010121001
412002132020231
5201413423041
614015240301
72340062260
oct602361055
9231563531
10101311021
1152207519
1229b19091
1317cb2466
14d652cd7
158d63131
hex609e22d

101311021 has 16 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 78688368.

The previous prime is 101311003. The next prime is 101311033. The reversal of 101311021 is 120113101.

It is a cyclic number.

It is not a de Polignac number, because 101311021 - 27 = 101310893 is a prime.

It is a super-3 number, since 3×1013110213 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101310989 and 101311007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13501 + ... + 19618.

It is an arithmetic number, because the mean of its divisors is an integer number (7948800).

Almost surely, 2101311021 is an apocalyptic number.

It is an amenable number.

101311021 is a deficient number, since it is larger than the sum of its proper divisors (25869779).

101311021 is a wasteful number, since it uses less digits than its factorization.

101311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33168.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101311021 is about 10065.3375999020. The cubic root of 101311021 is about 466.1784898966.

Adding to 101311021 its reverse (120113101), we get a palindrome (221424122).

The spelling of 101311021 in words is "one hundred one million, three hundred eleven thousand, twenty-one".

Divisors: 1 7 19 23 133 161 437 3059 33119 231833 629261 761737 4404827 5332159 14473003 101311021