Search a number
-
+
20131121140 = 22513219131183
BaseRepresentation
bin10010101111111010…
…001000011111110100
31220221222020220122021
4102233322020133310
5312212031334030
613125331442524
71311603464164
oct225772103764
956858226567
1020131121140
1185a05472a9
123a99a56444
131b8a8c6800
14d8d8985a4
157cc51b97a
hex4afe887f4

20131121140 has 72 divisors (see below), whose sum is σ = 46018603008. Its totient is φ = 7393875840.

The previous prime is 20131121117. The next prime is 20131121141. The reversal of 20131121140 is 4112113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131121141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629989 + ... + 661171.

It is an arithmetic number, because the mean of its divisors is an integer number (639147264).

Almost surely, 220131121140 is an apocalyptic number.

20131121140 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 20131121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009301504).

20131121140 is an abundant number, since it is smaller than the sum of its proper divisors (25887481868).

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

20131121140 is a wasteful number, since it uses less digits than its factorization.

20131121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31409 (or 31394 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20131121140 its reverse (4112113102), we get a palindrome (24243234242).

The spelling of 20131121140 in words is "twenty billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 191 260 338 382 676 764 845 955 1690 1910 2483 3380 3820 4966 9932 12415 24830 31183 32279 49660 62366 64558 124732 129116 155915 161395 311830 322790 405379 623660 645580 810758 1621516 2026895 4053790 5269927 5955953 8107580 10539854 11911906 21079708 23823812 26349635 29779765 52699270 59559530 77427389 105398540 119119060 154854778 309709556 387136945 774273890 1006556057 1548547780 2013112114 4026224228 5032780285 10065560570 20131121140