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1022021111952 = 24345922958367
BaseRepresentation
bin11101101111101010011…
…01001001000010010000
310121201000102000211010000
432313311031021002100
5113221044401040302
62101302055210000
7133560431054421
oct16676515110220
93551012024100
101022021111952
11364489301275
121460a8976900
13754b76000b9
1437674d21648
151b8b9b6531c
hexedf5349090

1022021111952 has 200 divisors, whose sum is σ = 3021349478400. Its totient is φ = 333431417088.

The previous prime is 1022021111933. The next prime is 1022021111953. The reversal of 1022021111952 is 2591111202201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1022021111953) 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 39 ways as a sum of consecutive naturals, for example, 17481073 + ... + 17539439.

It is an arithmetic number, because the mean of its divisors is an integer number (15106747392).

Almost surely, 21022021111952 is an apocalyptic number.

1022021111952 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 1022021111952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510674739200).

1022021111952 is an abundant number, since it is smaller than the sum of its proper divisors (1999328366448).

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

1022021111952 is a wasteful number, since it uses less digits than its factorization.

1022021111952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58675 (or 58660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1022021111952 in words is "one trillion, twenty-two billion, twenty-one million, one hundred eleven thousand, nine hundred fifty-two".