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20140323100 = 22522938318133
BaseRepresentation
bin10010110000011101…
…001111000100011100
31220222121120102100121
4102300131033010130
5312221410314400
613130301004324
71312044631102
oct226035170434
956877512317
1020140323100
1185a5761927
123aa0b536a4
131b8c799061
14d90bb1c72
157cd23821a
hex4b074f11c

20140323100 has 72 divisors (see below), whose sum is σ = 45332098560. Its totient is φ = 7757594880.

The previous prime is 20140323059. The next prime is 20140323139. The reversal of 20140323100 is 132304102.

It is a happy number.

It is a super-2 number, since 2×201403231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101634 + ... + 1119766.

It is an arithmetic number, because the mean of its divisors is an integer number (629612480).

Almost surely, 220140323100 is an apocalyptic number.

20140323100 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 20140323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666049280).

20140323100 is an abundant number, since it is smaller than the sum of its proper divisors (25191775460).

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

20140323100 is a wasteful number, since it uses less digits than its factorization.

20140323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18559 (or 18552 counting only the distinct ones).

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

Adding to 20140323100 its reverse (132304102), we get a palindrome (20272627202).

The spelling of 20140323100 in words is "twenty billion, one hundred forty million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 383 580 725 766 1450 1532 1915 2900 3830 7660 9575 11107 18133 19150 22214 36266 38300 44428 55535 72532 90665 111070 181330 222140 277675 362660 453325 525857 555350 906650 1051714 1110700 1813300 2103428 2629285 5258570 6944939 10517140 13146425 13889878 26292850 27779756 34724695 52585700 69449390 138898780 173623475 201403231 347246950 402806462 694493900 805612924 1007016155 2014032310 4028064620 5035080775 10070161550 20140323100