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20012210100 = 22325243950651
BaseRepresentation
bin10010101000110100…
…100001011110110100
31220122200111121100200
4102220310201132310
5311441111210400
613105443040500
71305630656601
oct225064413664
956580447320
1020012210100
11853a409713
123a66070130
131b6c09144c
14d7bb836a8
157c1d7db00
hex4a8d217b4

20012210100 has 108 divisors (see below), whose sum is σ = 62871288480. Its totient is φ = 5324328000.

The previous prime is 20012210089. The next prime is 20012210111. The reversal of 20012210100 is 101221002.

It is an interprime number because it is at equal distance from previous prime (20012210089) and next prime (20012210111).

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

It is a congruent number.

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, 369775 + ... + 420425.

It is an arithmetic number, because the mean of its divisors is an integer number (582141560).

Almost surely, 220012210100 is an apocalyptic number.

20012210100 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 20012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435644240).

20012210100 is an abundant number, since it is smaller than the sum of its proper divisors (42859078380).

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

20012210100 is a wasteful number, since it uses less digits than its factorization.

20012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51110 (or 51100 counting only the distinct ones).

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

Adding to 20012210100 its reverse (101221002), we get a palindrome (20113431102).

The spelling of 20012210100 in words is "twenty billion, twelve million, two hundred ten 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 50651 65850 79020 98775 101302 131700 151953 197550 202604 253255 303906 395100 455859 506510 607812 759765 911718 1013020 1266275 1519530 1823436 2279295 2532550 3039060 3798825 4558590 5065100 7597650 9117180 11396475 15195300 22235789 22792950 44471578 45585900 66707367 88943156 111178945 133414734 200122101 222357890 266829468 333536835 400244202 444715780 555894725 667073670 800488404 1000610505 1111789450 1334147340 1667684175 2001221010 2223578900 3335368350 4002442020 5003052525 6670736700 10006105050 20012210100