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1020010200000 = 2635511179091
BaseRepresentation
bin11101101011111010101…
…10000111101111000000
310121111211021010220111120
432311331112013233000
5113202440102400000
62100330342312240
7133456542434361
oct16657526075700
93544737126446
101020010200000
11363647191370
12145827428680
1375256b0507c
1437523c25b68
151b7ed3496a0
hexed7d587bc0

1020010200000 has 672 divisors, whose sum is σ = 3896809088256. Its totient is φ = 232704000000.

The previous prime is 1020010199959. The next prime is 1020010200037. The reversal of 1020010200000 is 20100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112195455 + ... + 112204545.

It is an arithmetic number, because the mean of its divisors is an integer number (5798823048).

Almost surely, 21020010200000 is an apocalyptic number.

1020010200000 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 1020010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948404544128).

1020010200000 is an abundant number, since it is smaller than the sum of its proper divisors (2876798888256).

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

1020010200000 is an equidigital number, since it uses as much as digits as its factorization.

1020010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1020010200000 its reverse (20100201), we get a palindrome (1020030300201).

The spelling of 1020010200000 in words is "one trillion, twenty billion, ten million, two hundred thousand".