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1010222212032 = 263211527930203
BaseRepresentation
bin11101011001101011110…
…11111010001111000000
310120120120010022121012200
432230311323322033000
5113022413341241112
62052031211553200
7132662151056325
oct16546573721700
93516503277180
101010222212032
1135a484114110
1214395545b800
1374357019507
1436c75cd0b4c
151b428db9cdc
hexeb35efa3c0

1010222212032 has 168 divisors, whose sum is σ = 3159560701440. Its totient is φ = 306059819520.

The previous prime is 1010222212031. The next prime is 1010222212049. The reversal of 1010222212032 is 2302122220101.

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 = 1010222211996 and 1010222212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33432643 + ... + 33462845.

Almost surely, 21010222212032 is an apocalyptic number.

1010222212032 is a gapful number since it is divisible by the number (12) 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 1010222212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579780350720).

1010222212032 is an abundant number, since it is smaller than the sum of its proper divisors (2149338489408).

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

1010222212032 is a wasteful number, since it uses less digits than its factorization.

1010222212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35511 (or 35498 counting only the distinct ones).

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

Adding to 1010222212032 its reverse (2302122220101), we get a palindrome (3312344432133).

The spelling of 1010222212032 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred twelve thousand, thirty-two".