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20322031100 = 22527791792053
BaseRepresentation
bin10010111011010010…
…011001010111111100
31221110021111010212112
4102323102121113330
5313104414443400
613200311353152
71316412262040
oct227322312774
957407433775
1020322031100
118689290828
123b319827b8
131bbb31a497
14daad92020
157de17c835
hex4bb4995fc

20322031100 has 144 divisors (see below), whose sum is σ = 51346713600. Its totient is φ = 6837592320.

The previous prime is 20322031091. The next prime is 20322031109. The reversal of 20322031100 is 113022302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20322031091) and next prime (20322031109).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322031109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9897674 + ... + 9899726.

It is an arithmetic number, because the mean of its divisors is an integer number (356574400).

Almost surely, 220322031100 is an apocalyptic number.

20322031100 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 20322031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25673356800).

20322031100 is an abundant number, since it is smaller than the sum of its proper divisors (31024682500).

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

20322031100 is a wasteful number, since it uses less digits than its factorization.

20322031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20322031100 its reverse (113022302), we get a palindrome (20435053402).

The spelling of 20322031100 in words is "twenty billion, three hundred twenty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 179 316 350 358 395 553 700 716 790 895 1106 1253 1580 1790 1975 2053 2212 2506 2765 3580 3950 4106 4475 5012 5530 6265 7900 8212 8950 10265 11060 12530 13825 14141 14371 17900 20530 25060 27650 28282 28742 31325 41060 51325 55300 56564 57484 62650 70705 71855 98987 102650 125300 141410 143710 162187 197974 205300 282820 287420 324374 353525 359275 367487 395948 494935 648748 707050 718550 734974 810935 989870 1135309 1414100 1437100 1469948 1621870 1837435 1979740 2270618 2474675 2572409 3243740 3674870 4054675 4541236 4949350 5144818 5676545 7349740 8109350 9187175 9898700 10289636 11353090 12862045 16218700 18374350 22706180 25724090 28382725 29031473 36748700 51448180 56765450 58062946 64310225 113530900 116125892 128620450 145157365 203220311 257240900 290314730 406440622 580629460 725786825 812881244 1016101555 1451573650 2032203110 2903147300 4064406220 5080507775 10161015550 20322031100