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20134132000 = 255320112503
BaseRepresentation
bin10010110000000101…
…100111100100100000
31220222011220212202121
4102300011213210200
5312213314211000
613125520154024
71311641204203
oct226005474440
956864825677
1020134132000
1185a2213414
123a9aa68914
131b8b40c098
14d9003d93a
157cc913b1a
hex4b0167920

20134132000 has 96 divisors (see below), whose sum is σ = 49513935744. Its totient is φ = 8046432000.

The previous prime is 20134131931. The next prime is 20134132001. The reversal of 20134132000 is 23143102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20134132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8042749 + ... + 8045251.

It is an arithmetic number, because the mean of its divisors is an integer number (515770164).

Almost surely, 220134132000 is an apocalyptic number.

20134132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756967872).

20134132000 is an abundant number, since it is smaller than the sum of its proper divisors (29379803744).

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

20134132000 is a wasteful number, since it uses less digits than its factorization.

20134132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20134132000 its reverse (23143102), we get a palindrome (20157275102).

The spelling of 20134132000 in words is "twenty billion, one hundred thirty-four million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2011 2503 4000 4022 5006 8044 10012 10055 12515 16088 20024 20110 25030 32176 40048 40220 50060 50275 62575 64352 80096 80440 100120 100550 125150 160880 200240 201100 250300 251375 312875 321760 400480 402200 500600 502750 625750 804400 1001200 1005500 1251500 1608800 2002400 2011000 2503000 4022000 5006000 5033533 8044000 10012000 10067066 20134132 25167665 40268264 50335330 80536528 100670660 125838325 161073056 201341320 251676650 402682640 503353300 629191625 805365280 1006706600 1258383250 2013413200 2516766500 4026826400 5033533000 10067066000 20134132000