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10132212020220 = 223351091638271277
BaseRepresentation
bin1001001101110001011011…
…1001011111001111111100
31022212122000021110202202000
42103130112321133033330
52312001232234121340
633314401323302300
72064012442103223
oct223342671371774
938778007422660
1010132212020220
1132570575a2734
12117783537a990
135866043ac954
1427058a2c3cba
15128867099d30
hex93716e5f3fc

10132212020220 has 384 divisors, whose sum is σ = 32070594124800. Its totient is φ = 2655412429824.

The previous prime is 10132212020201. The next prime is 10132212020221. The reversal of 10132212020220 is 2202021223101.

10132212020220 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 120 + 2 + 0 + 220 = 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 = 10132212020193 and 10132212020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132212020221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7934386222 + ... + 7934387498.

It is an arithmetic number, because the mean of its divisors is an integer number (83517172200).

Almost surely, 210132212020220 is an apocalyptic number.

10132212020220 is a gapful number since it is divisible by the number (10) 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 10132212020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035297062400).

10132212020220 is an abundant number, since it is smaller than the sum of its proper divisors (21938382104580).

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

10132212020220 is a wasteful number, since it uses less digits than its factorization.

10132212020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10132212020220 its reverse (2202021223101), we get a palindrome (12334233243321).

The spelling of 10132212020220 in words is "ten trillion, one hundred thirty-two billion, two hundred twelve million, twenty thousand, two hundred twenty".