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413212240023 = 31137338421163
BaseRepresentation
bin1100000001101010101…
…11100110100010010111
31110111120110201201000220
412000311113212202113
523232224313140043
6513454352205423
741565533042142
oct6006527464227
91414513651026
10413212240023
1114a27359a930
12680bbb39873
132cc7299164b
1415ddcbb9059
15ab367c1483
hex60355e6897

413212240023 has 16 divisors (see below), whose sum is σ = 617280203136. Its totient is φ = 243663236640.

The previous prime is 413212240019. The next prime is 413212240033. The reversal of 413212240023 is 320042212314.

It is a happy number.

It is not a de Polignac number, because 413212240023 - 22 = 413212240019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413212239975 and 413212240002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413212240003) 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, 169209361 + ... + 169211802.

It is an arithmetic number, because the mean of its divisors is an integer number (38580012696).

Almost surely, 2413212240023 is an apocalyptic number.

413212240023 is a deficient number, since it is larger than the sum of its proper divisors (204067963113).

413212240023 is a wasteful number, since it uses less digits than its factorization.

413212240023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338421214.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413212240023 its reverse (320042212314), we get a palindrome (733254452337).

The spelling of 413212240023 in words is "four hundred thirteen billion, two hundred twelve million, two hundred forty thousand, twenty-three".

Divisors: 1 3 11 33 37 111 407 1221 338421163 1015263489 3722632793 11167898379 12521583031 37564749093 137737413341 413212240023