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33334130000 = 245423144931
BaseRepresentation
bin11111000010110111…
…100111010101010000
310012001010001020220102
4133002313213111100
51021232014130000
623151414031532
72260023300323
oct370267472520
9105033036812
1033334130000
111315627a276
1265636485a8
1331b30671a2
14188318a7ba
15d016be3d5
hex7c2de7550

33334130000 has 100 divisors (see below), whose sum is σ = 84214767648. Its totient is φ = 12753840000.

The previous prime is 33334129999. The next prime is 33334130003. The reversal of 33334130000 is 3143333.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×333341300002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33334130003) 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 19 ways as a sum of consecutive naturals, for example, 157535 + ... + 302465.

Almost surely, 233334130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33334130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42107383824).

33334130000 is an abundant number, since it is smaller than the sum of its proper divisors (50880637648).

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

33334130000 is a wasteful number, since it uses less digits than its factorization.

33334130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144982 (or 144961 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33334130000 its reverse (3143333), we get a palindrome (33337273333).

The spelling of 33334130000 in words is "thirty-three billion, three hundred thirty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 144931 230000 289862 579724 724655 1159448 1449310 2318896 2898620 3333413 3623275 5797240 6666826 7246550 11594480 13333652 14493100 16667065 18116375 26667304 28986200 33334130 36232750 53334608 57972400 66668260 72465500 83335325 90581875 133336520 144931000 166670650 181163750 266673040 289862000 333341300 362327500 416676625 666682600 724655000 833353250 1333365200 1449310000 1666706500 2083383125 3333413000 4166766250 6666826000 8333532500 16667065000 33334130000