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4213102120434 = 2323138331969831
BaseRepresentation
bin111101010011110000011…
…101001000110111110010
3112220202202022221001210100
4331103300131020313302
51023011413120323214
612543250012013230
7613246412101014
oct75236035106762
915822668831710
104213102120434
111384848347879
1258063b461216
132473a86c329c
14107cb55701b4
15748d4804309
hex3d4f0748df2

4213102120434 has 48 divisors (see below), whose sum is σ = 9425315188224. Its totient is φ = 1358709940800.

The previous prime is 4213102120429. The next prime is 4213102120489. The reversal of 4213102120434 is 4340212013124.

4213102120434 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 10 + 212 + 0 + 434 = 666.

It is a super-3 number, since 3×42131021204343 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4213102120398 and 4213102120407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153899 + ... + 3123729.

It is an arithmetic number, because the mean of its divisors is an integer number (196360733088).

Almost surely, 24213102120434 is an apocalyptic number.

4213102120434 is an abundant number, since it is smaller than the sum of its proper divisors (5212213067790).

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

4213102120434 is a wasteful number, since it uses less digits than its factorization.

4213102120434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973703 (or 1973700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4213102120434 its reverse (4340212013124), we get a palindrome (8553314133558).

The spelling of 4213102120434 in words is "four trillion, two hundred thirteen billion, one hundred two million, one hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 3833 7666 11499 22998 34497 68994 118823 237646 356469 712938 1069407 1969831 2138814 3939662 5909493 11818986 17728479 35456958 61064761 122129522 183194283 366388566 549582849 1099165698 7550362223 15100724446 22651086669 45302173338 67953260007 135906520014 234061228913 468122457826 702183686739 1404367373478 2106551060217 4213102120434