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213131004212430 = 23252368122269027
BaseRepresentation
bin110000011101011101101101…
…110010111111010011001110
31000221122010101010200002221200
4300131131231302333103032
5210413414244034244210
62033143010501010330
762615130653450463
oct6035355562772316
91027563333602850
10213131004212430
1161a013956228a7
121baa22720b39a6
1391c0223ba2455
143a8b84a63b66a
15199905e7ee0c0
hexc1d76dcbf4ce

213131004212430 has 24 divisors (see below), whose sum is σ = 554140610952552. Its totient is φ = 56834934456624.

The previous prime is 213131004212411. The next prime is 213131004212437. The reversal of 213131004212430 is 34212400131312.

213131004212430 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 10 + 0 + 4 + 212 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213131004212394 and 213131004212403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131004212437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1184061134424 + ... + 1184061134603.

It is an arithmetic number, because the mean of its divisors is an integer number (23089192123023).

Almost surely, 2213131004212430 is an apocalyptic number.

213131004212430 is an abundant number, since it is smaller than the sum of its proper divisors (341009606740122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213131004212430 is a wasteful number, since it uses less digits than its factorization.

213131004212430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368122269040 (or 2368122269037 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213131004212430 its reverse (34212400131312), we get a palindrome (247343404343742).

The spelling of 213131004212430 in words is "two hundred thirteen trillion, one hundred thirty-one billion, four million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2368122269027 4736244538054 7104366807081 11840611345135 14208733614162 21313100421243 23681222690270 35521834035405 42626200842486 71043668070810 106565502106215 213131004212430