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33000013214 = 2723318715407
BaseRepresentation
bin11110101110111101…
…000011110110011110
310011011211100100211122
4132232331003312132
51020041000410324
623054320450542
72245525325030
oct365675036636
9104154310748
1033000013214
1112aa47133a3
12648b779a52
13315ba8264c
141850a55c50
15cd21c1a5e
hex7aef43d9e

33000013214 has 32 divisors (see below), whose sum is σ = 56855126016. Its totient is φ = 14072034240.

The previous prime is 33000013187. The next prime is 33000013259. The reversal of 33000013214 is 41231000033.

It is a happy number.

It is a super-3 number, since 3×330000132143 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33000013192 and 33000013201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6100499 + ... + 6105905.

It is an arithmetic number, because the mean of its divisors is an integer number (1776722688).

Almost surely, 233000013214 is an apocalyptic number.

33000013214 is a deficient number, since it is larger than the sum of its proper divisors (23855112802).

33000013214 is a wasteful number, since it uses less digits than its factorization.

33000013214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33000013214 its reverse (41231000033), we get a palindrome (74231013247).

The spelling of 33000013214 in words is "thirty-three billion, thirteen thousand, two hundred fourteen".

Divisors: 1 2 7 14 233 466 1631 1871 3262 3742 5407 10814 13097 26194 37849 75698 435943 871886 1259831 2519662 3051601 6103202 8818817 10116497 17637634 20232994 70815479 141630958 2357143801 4714287602 16500006607 33000013214