Search a number
-
+
420133233331 = 7266171918041
BaseRepresentation
bin1100001110100011110…
…01000110001010110011
31111011102210210121000101
412013101321012022303
523340413101431311
6521001225133231
742232202363200
oct6072171061263
91434383717011
10420133233331
111521a5291609
126951192a217
13308067c4366
141649804aca7
15adde1d0ec1
hex61d1e462b3

420133233331 has 24 divisors (see below), whose sum is σ = 490173716160. Its totient is φ = 359049398400.

The previous prime is 420133233329. The next prime is 420133233347. The reversal of 420133233331 is 133332331024.

It is not a de Polignac number, because 420133233331 - 21 = 420133233329 is a prime.

It is a super-2 number, since 2×4201332333312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420133233331.

It is not an unprimeable number, because it can be changed into a prime (420133233371) 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 23 ways as a sum of consecutive naturals, for example, 23278671 + ... + 23296711.

It is an arithmetic number, because the mean of its divisors is an integer number (20423904840).

Almost surely, 2420133233331 is an apocalyptic number.

420133233331 is a deficient number, since it is larger than the sum of its proper divisors (70040482829).

420133233331 is a wasteful number, since it uses less digits than its factorization.

420133233331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19435 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 420133233331 its reverse (133332331024), we get a palindrome (553465564355).

The spelling of 420133233331 in words is "four hundred twenty billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 7 49 661 719 4627 5033 18041 32389 35231 126287 475259 884009 3326813 11925101 12971479 23287691 83475707 90800353 584329949 635602471 8574147619 60019033333 420133233331