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20020112100 = 22325243950671
BaseRepresentation
bin10010101001010010…
…101010101011100100
31220200020101001212100
4102221102222223210
5312000122041400
613110324252100
71306055100522
oct225122525344
956606331770
1020020112100
11854391659a
123a68841030
131b708ca0a1
14d7cc3d312
157c28e0100
hex4a94aaae4

20020112100 has 108 divisors (see below), whose sum is σ = 62896113280. Its totient is φ = 5326430400.

The previous prime is 20020112087. The next prime is 20020112113. The reversal of 20020112100 is 121102002.

It is an interprime number because it is at equal distance from previous prime (20020112087) and next prime (20020112113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 369765 + ... + 420435.

Almost surely, 220020112100 is an apocalyptic number.

20020112100 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 20020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31448056640).

20020112100 is an abundant number, since it is smaller than the sum of its proper divisors (42876001180).

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

20020112100 is a wasteful number, since it uses less digits than its factorization.

20020112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51130 (or 51120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20020112100 its reverse (121102002), we get a palindrome (20141214102).

The spelling of 20020112100 in words is "twenty billion, twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 439 450 878 900 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 10975 13170 15804 19755 21950 26340 32925 39510 43900 50671 65850 79020 98775 101342 131700 152013 197550 202684 253355 304026 395100 456039 506710 608052 760065 912078 1013420 1266775 1520130 1824156 2280195 2533550 3040260 3800325 4560390 5067100 7600650 9120780 11400975 15201300 22244569 22801950 44489138 45603900 66733707 88978276 111222845 133467414 200201121 222445690 266934828 333668535 400402242 444891380 556114225 667337070 800804484 1001005605 1112228450 1334674140 1668342675 2002011210 2224456900 3336685350 4004022420 5005028025 6673370700 10010056050 20020112100