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20212100220 = 22351330784407
BaseRepresentation
bin10010110100101111…
…000010110001111100
31221011121122002001110
4102310233002301330
5312343244201340
613141343242020
71313606005614
oct226457026174
957147562043
1020212100220
118632227064
123b00ba9310
131ba160a720
14d9a537a44
157d46b5680
hex4b4bc2c7c

20212100220 has 96 divisors (see below), whose sum is σ = 61146505728. Its totient is φ = 4959021312.

The previous prime is 20212100213. The next prime is 20212100273. The reversal of 20212100220 is 2200121202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20212100196 and 20212100205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197257 + ... + 281663.

It is an arithmetic number, because the mean of its divisors is an integer number (636942768).

Almost surely, 220212100220 is an apocalyptic number.

20212100220 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 20212100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573252864).

20212100220 is an abundant number, since it is smaller than the sum of its proper divisors (40934405508).

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

20212100220 is a wasteful number, since it uses less digits than its factorization.

20212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84739 (or 84737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20212100220 its reverse (2200121202), we get a palindrome (22412221422).

The spelling of 20212100220 in words is "twenty billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 307 390 614 780 921 1228 1535 1842 3070 3684 3991 4605 6140 7982 9210 11973 15964 18420 19955 23946 39910 47892 59865 79820 84407 119730 168814 239460 253221 337628 422035 506442 844070 1012884 1097291 1266105 1688140 2194582 2532210 3291873 4389164 5064420 5486455 6583746 10972910 13167492 16459365 21945820 25912949 32918730 51825898 65837460 77738847 103651796 129564745 155477694 259129490 310955388 336868337 388694235 518258980 673736674 777388470 1010605011 1347473348 1554776940 1684341685 2021210022 3368683370 4042420044 5053025055 6737366740 10106050110 20212100220