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20132421140 = 225133116714957
BaseRepresentation
bin10010101111111111…
…000101111000010100
31220222001200221220102
4102233333011320110
5312212344434030
613125415353232
71311620520236
oct225777057024
956861627812
1020132421140
1185a1254a87
123a9a382818
131b8ac60440
14d8db16256
157cc6c6c45
hex4affc5e14

20132421140 has 96 divisors (see below), whose sum is σ = 47283554304. Its totient is φ = 7150164480.

The previous prime is 20132421137. The next prime is 20132421149. The reversal of 20132421140 is 4112423102.

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 (20132421149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338542 + ... + 1353498.

It is an arithmetic number, because the mean of its divisors is an integer number (492537024).

Almost surely, 220132421140 is an apocalyptic number.

20132421140 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 20132421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641777152).

20132421140 is an abundant number, since it is smaller than the sum of its proper divisors (27151133164).

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

20132421140 is a wasteful number, since it uses less digits than its factorization.

20132421140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20132421140 its reverse (4112423102), we get a palindrome (24244844242).

The spelling of 20132421140 in words is "twenty billion, one hundred thirty-two million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 167 260 310 334 403 620 668 806 835 1612 1670 2015 2171 3340 4030 4342 5177 8060 8684 10354 10855 14957 20708 21710 25885 29914 43420 51770 59828 67301 74785 103540 134602 149570 194441 269204 299140 336505 388882 463667 673010 777764 927334 972205 1346020 1854668 1944410 2318335 2497819 3888820 4636670 4995638 6027671 9273340 9991276 12055342 12489095 24110684 24978190 30138355 32471647 49956380 60276710 64943294 77432389 120553420 129886588 154864778 162358235 309729556 324716470 387161945 649432940 774323890 1006621057 1548647780 2013242114 4026484228 5033105285 10066210570 20132421140