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100022001200000 = 275511731372273
BaseRepresentation
bin10110101111100000101111…
…110110011110101110000000
3111010011000021020110021211222
4112233200233312132232000
5101102230024301400000
6552421250100454212
730032231301226415
oct2657405766365600
9433130236407758
10100022001200000
11299631021223a0
12b274b259aa368
1343a705a2c8199
141a9b13abc610c
15b86c06088a85
hex5af82fd9eb80

100022001200000 has 768 divisors, whose sum is σ = 277558755727680. Its totient is φ = 35595878400000.

The previous prime is 100022001199999. The next prime is 100022001200003. The reversal of 100022001200000 is 2100220001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022001200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44004398864 + ... + 44004401136.

Almost surely, 2100022001200000 is an apocalyptic number.

100022001200000 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 100022001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138779377863840).

100022001200000 is an abundant number, since it is smaller than the sum of its proper divisors (177536754527680).

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

100022001200000 is an equidigital number, since it uses as much as digits as its factorization.

100022001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100022001200000 its reverse (2100220001), we get a palindrome (100024101420001).

It can be divided in two parts, 100022001 and 200000, that added together give a palindrome (100222001).

The spelling of 100022001200000 in words is "one hundred trillion, twenty-two billion, one million, two hundred thousand".