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1020022230000 = 243541012271483
BaseRepresentation
bin11101101011111100001…
…00000000101111110000
310121111212002210002120010
432311332010000233300
5113203001142330000
62100331452214520
7133460046620304
oct16657604005760
93544762702503
101020022230000
11363652a58714
1214582b46a440
1375259457907
1437525677d04
151b7ee423d50
hexed7e100bf0

1020022230000 has 400 divisors, whose sum is σ = 3342270830976. Its totient is φ = 267945600000.

The previous prime is 1020022229983. The next prime is 1020022230001. The reversal of 1020022230000 is 322200201.

1020022230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020022230001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 687809259 + ... + 687810741.

Almost surely, 21020022230000 is an apocalyptic number.

1020022230000 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 1020022230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671135415488).

1020022230000 is an abundant number, since it is smaller than the sum of its proper divisors (2322248600976).

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

1020022230000 is a wasteful number, since it uses less digits than its factorization.

1020022230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1020022230000 its reverse (322200201), we get a palindrome (1020344430201).

The spelling of 1020022230000 in words is "one trillion, twenty billion, twenty-two million, two hundred thirty thousand".