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21022202202120 = 2334572129435371
BaseRepresentation
bin1001100011110100111001…
…11001010000100000001000
32202102200222102020122210000
410301322130321100200020
510223411432230431440
6112413244422523000
74266542524255110
oct461723471204010
982380872218700
1021022202202120
116775514105aa9
1224362b0b96460
13b96501279c82
145296a123c040
15266c8086c730
hex131e9ce50808

21022202202120 has 320 divisors, whose sum is σ = 80790066403200. Its totient is φ = 4802806794240.

The previous prime is 21022202202073. The next prime is 21022202202121. The reversal of 21022202202120 is 2120220222012.

21022202202120 is a `hidden beast` number, since 2 + 10 + 2 + 220 + 220 + 212 + 0 = 666.

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 = 21022202202093 and 21022202202102.

It is not an unprimeable number, because it can be changed into a prime (21022202202121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48068035 + ... + 48503405.

It is an arithmetic number, because the mean of its divisors is an integer number (252468957510).

Almost surely, 221022202202120 is an apocalyptic number.

21022202202120 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 21022202202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40395033201600).

21022202202120 is an abundant number, since it is smaller than the sum of its proper divisors (59767864201080).

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

21022202202120 is a wasteful number, since it uses less digits than its factorization.

21022202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437530 (or 437517 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022202202120 its reverse (2120220222012), we get a palindrome (23142422424132).

The spelling of 21022202202120 in words is "twenty-one trillion, twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty".