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34233132102 = 23135910173651
BaseRepresentation
bin11111111000011101…
…000010010001000110
310021100202200021221120
4133320131002101012
51030102140211402
623420530454410
72321220551601
oct377035022106
9107322607846
1034233132102
111357778a914
126774734406
1332c73a15b0
14192a727338
15d555a03bc
hex7f8742446

34233132102 has 64 divisors (see below), whose sum is σ = 75726040320. Its totient is φ = 10252080000.

The previous prime is 34233132091. The next prime is 34233132103. The reversal of 34233132102 is 20123133243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427977 + ... + 501627.

It is an arithmetic number, because the mean of its divisors is an integer number (1183219380).

Almost surely, 234233132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37863020160).

34233132102 is an abundant number, since it is smaller than the sum of its proper divisors (41492908218).

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

34233132102 is a wasteful number, since it uses less digits than its factorization.

34233132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73829.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34233132102 its reverse (20123133243), we get a palindrome (54356265345).

The spelling of 34233132102 in words is "thirty-four billion, two hundred thirty-three million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 59 78 101 118 177 202 303 354 606 767 1313 1534 2301 2626 3939 4602 5959 7878 11918 17877 35754 73651 77467 147302 154934 220953 232401 441906 464802 957463 1914926 2872389 4345409 5744778 7438751 8690818 13036227 14877502 22316253 26072454 44632506 56490317 96703763 112980634 169470951 193407526 290111289 338941902 438886309 580222578 877772618 1316658927 2633317854 5705522017 11411044034 17116566051 34233132102