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21221101121220 = 2232571113793174703
BaseRepresentation
bin1001101001100111011000…
…01100011010111011000100
32210010201101000122122020100
410310303230030122323010
510240141303341334340
6113044501141004100
74320113445214530
oct464635414327304
983121330578210
1021221101121220
116841900393890
12246895b9b3630
13bac1ab42a490
1453516cdbcbc0
1526c0222e5830
hex134cec31aec4

21221101121220 has 1152 divisors, whose sum is σ = 87816541962240. Its totient is φ = 4005327605760.

The previous prime is 21221101121179. The next prime is 21221101121251. The reversal of 21221101121220 is 2212110112212.

21221101121220 is a `hidden beast` number, since 2 + 1 + 221 + 101 + 121 + 220 = 666.

It is a super-2 number, since 2×212211011212202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21221101121193 and 21221101121202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4512245389 + ... + 4512250091.

It is an arithmetic number, because the mean of its divisors is an integer number (76229637120).

Almost surely, 221221101121220 is an apocalyptic number.

21221101121220 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 21221101121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908270981120).

21221101121220 is an abundant number, since it is smaller than the sum of its proper divisors (66595440841020).

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

21221101121220 is a wasteful number, since it uses less digits than its factorization.

21221101121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221101121220 its reverse (2212110112212), we get a palindrome (23433211233432).

The spelling of 21221101121220 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".