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20100110140 = 225111737145253
BaseRepresentation
bin10010101110000011…
…110101011100111100
31220212210220101112201
4102232003311130330
5312131112011030
613122303041244
71311046055125
oct225603653474
956783811481
1020100110140
118584a96280
123a8b5a0224
131b843595c6
14d8970504c
157c99432ca
hex4ae0f573c

20100110140 has 96 divisors (see below), whose sum is σ = 50074282944. Its totient is φ = 6693212160.

The previous prime is 20100110077. The next prime is 20100110141. The reversal of 20100110140 is 4101100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100110141) 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 31 ways as a sum of consecutive naturals, for example, 65754 + ... + 211006.

It is an arithmetic number, because the mean of its divisors is an integer number (521607114).

Almost surely, 220100110140 is an apocalyptic number.

20100110140 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 20100110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25037141472).

20100110140 is an abundant number, since it is smaller than the sum of its proper divisors (29974172804).

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

20100110140 is a wasteful number, since it uses less digits than its factorization.

20100110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145327 (or 145325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20100110140 its reverse (4101100102), we get a palindrome (24201210242).

The spelling of 20100110140 in words is "twenty billion, one hundred million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 37 44 55 68 74 85 110 148 170 185 187 220 340 370 374 407 629 740 748 814 935 1258 1628 1870 2035 2516 3145 3740 4070 6290 6919 8140 12580 13838 27676 34595 69190 138380 145253 290506 581012 726265 1452530 1597783 2469301 2905060 3195566 4938602 5374361 6391132 7988915 9877204 10748722 12346505 15977830 21497444 24693010 26871805 27162311 31955660 49386020 53743610 54324622 59117971 91364137 107487220 108649244 118235942 135811555 182728274 236471884 271623110 295589855 365456548 456820685 543246220 591179710 913641370 1005005507 1182359420 1827282740 2010011014 4020022028 5025027535 10050055070 20100110140