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20101023 = 327183379
BaseRepresentation
bin100110010101…
…1011110011111
31101211020102100
41030223132133
520121213043
61554500143
7332566365
oct114533637
941736370
1020101023
111038a218
126894653
13421a3c7
142953635
151b70cd3
hex132b79f

20101023 has 24 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 13018320.

The previous prime is 20101013. The next prime is 20101073. The reversal of 20101023 is 32010102.

It is a happy number.

It is not a de Polignac number, because 20101023 - 25 = 20100991 is a prime.

It is a super-2 number, since 2×201010232 = 808102251293058, which contains 22 as substring.

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 = 20100996 and 20101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101013) 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, 52848 + ... + 53226.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 220101023 is an apocalyptic number.

20101023 is a deficient number, since it is larger than the sum of its proper divisors (9776097).

20101023 is a wasteful number, since it uses less digits than its factorization.

20101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20101023 is about 4483.4164428480. The cubic root of 20101023 is about 271.8980253190.

Adding to 20101023 its reverse (32010102), we get a palindrome (52111125).

It can be divided in two parts, 2010102 and 3, that multiplied together give a palindrome (6030306).

The spelling of 20101023 in words is "twenty million, one hundred one thousand, twenty-three".

Divisors: 1 3 9 71 83 213 249 379 639 747 1137 3411 5893 17679 26909 31457 53037 80727 94371 242181 283113 2233447 6700341 20101023