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211220221000020 = 223524111460114897
BaseRepresentation
bin110000000001101010001010…
…001111011111100101010100
31000200212110022100221122122220
4300001222022033133211110
5210141113003034000040
62025121121401222340
762330104660232031
oct6001521217374524
91020773270848586
10211220221000020
1161334aa1289021
121b833a887919b0
1390b1c9b10766b
143a23182a50388
1519644c90402d0
hexc01a8a3df954

211220221000020 has 48 divisors (see below), whose sum is σ = 591661918507968. Its totient is φ = 56302030389760.

The previous prime is 211220221000007. The next prime is 211220221000027. The reversal of 211220221000020 is 20000122022112.

It is a super-2 number, since 2×2112202210000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220221000027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729912789 + ... + 730202108.

It is an arithmetic number, because the mean of its divisors is an integer number (12326289968916).

Almost surely, 2211220221000020 is an apocalyptic number.

211220221000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220221000020 is an abundant number, since it is smaller than the sum of its proper divisors (380441697507948).

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

211220221000020 is a wasteful number, since it uses less digits than its factorization.

211220221000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460117320 (or 1460117318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211220221000020 its reverse (20000122022112), we get a palindrome (231220343022132).

The spelling of 211220221000020 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2411 4822 7233 9644 12055 14466 24110 28932 36165 48220 72330 144660 1460114897 2920229794 4380344691 5840459588 7300574485 8760689382 14601148970 17521378764 21901723455 29202297940 43803446910 87606893820 3520337016667 7040674033334 10561011050001 14081348066668 17601685083335 21122022100002 35203370166670 42244044200004 52805055250005 70406740333340 105610110500010 211220221000020