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10211220021120 = 2735130715112693
BaseRepresentation
bin1001010010010111110000…
…1001000101111110000000
31100011011221110222001210120
42110211330021011332000
52314300034311133440
633414545243100240
72102510360036166
oct224457411057600
940134843861716
1010211220021120
113287610550148
12118b004b11680
13590bb5b49241
142743233d5236
1512a93d417dd0
hex9497c245f80

10211220021120 has 256 divisors, whose sum is σ = 32606827706880. Its totient is φ = 2718098186240.

The previous prime is 10211220021083. The next prime is 10211220021127. The reversal of 10211220021120 is 2112002211201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10211220021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211220021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791762494 + ... + 3791765186.

It is an arithmetic number, because the mean of its divisors is an integer number (127370420730).

Almost surely, 210211220021120 is an apocalyptic number.

10211220021120 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 10211220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303413853440).

10211220021120 is an abundant number, since it is smaller than the sum of its proper divisors (22395607685760).

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

10211220021120 is a wasteful number, since it uses less digits than its factorization.

10211220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211220021120 its reverse (2112002211201), we get a palindrome (12323222232321).

The spelling of 10211220021120 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, twenty-one thousand, one hundred twenty".