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1001002200000 = 2635511151667
BaseRepresentation
bin11101001000100000110…
…00010110101111000000
310112200202120020110102120
432210100120112233000
5112400023030400000
62043504251044240
7132214524211635
oct16442030265700
93480676213376
101001002200000
11356582711660
12142001740680
1373517ac61aa
143663d5a818c
151b08972e6a0
hexe910616bc0

1001002200000 has 336 divisors, whose sum is σ = 3611363107968. Its totient is φ = 242665600000.

The previous prime is 1001002199999. The next prime is 1001002200007. The reversal of 1001002200000 is 22001001.

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 not an unprimeable number, because it can be changed into a prime (1001002200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6524167 + ... + 6675833.

It is an arithmetic number, because the mean of its divisors is an integer number (10748104488).

Almost surely, 21001002200000 is an apocalyptic number.

1001002200000 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 1001002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805681553984).

1001002200000 is an abundant number, since it is smaller than the sum of its proper divisors (2610360907968).

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

1001002200000 is an equidigital number, since it uses as much as digits as its factorization.

1001002200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151718 (or 151688 counting only the distinct ones).

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

Adding to 1001002200000 its reverse (22001001), we get a palindrome (1001024201001).

The spelling of 1001002200000 in words is "one trillion, one billion, two million, two hundred thousand".