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1020010022020 = 22511294127114389
BaseRepresentation
bin11101101011111010101…
…01011100010010000100
310121111211020210212100201
432311331111130102010
5113202440031201040
62100330334420244
7133456541063443
oct16657525342204
93544736725321
101020010022020
1136364707a680
12145827361684
1375256a72062
1437523bbad5a
151b7ed311a9a
hexed7d55c484

1020010022020 has 192 divisors, whose sum is σ = 2485597363200. Its totient is φ = 348074496000.

The previous prime is 1020010022011. The next prime is 1020010022041. The reversal of 1020010022020 is 202200100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020010021988 and 1020010022006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70880986 + ... + 70895374.

It is an arithmetic number, because the mean of its divisors is an integer number (12945819600).

Almost surely, 21020010022020 is an apocalyptic number.

1020010022020 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 1020010022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242798681600).

1020010022020 is an abundant number, since it is smaller than the sum of its proper divisors (1465587341180).

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

1020010022020 is a wasteful number, since it uses less digits than its factorization.

1020010022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020010022020 its reverse (202200100201), we get a palindrome (1222210122221).

The spelling of 1020010022020 in words is "one trillion, twenty billion, ten million, twenty-two thousand, twenty".