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10001220000 = 253541931283
BaseRepresentation
bin10010101000001111…
…01000000110100000
3221211000001121122120
421110013220012200
5130440303020000
64332224504240
7502560652542
oct112407500640
927730047576
1010001220000
114272478682
121b3147b080
13c35026875
146ac39d692
153d804e6a0
hex2541e81a0

10001220000 has 480 divisors, whose sum is σ = 35772549120. Its totient is φ = 2436480000.

The previous prime is 10001219999. The next prime is 10001220023. The reversal of 10001220000 is 2210001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35339859 + ... + 35340141.

It is an arithmetic number, because the mean of its divisors is an integer number (74526144).

Almost surely, 210001220000 is an apocalyptic number.

10001220000 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 10001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886274560).

10001220000 is an abundant number, since it is smaller than the sum of its proper divisors (25771329120).

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

10001220000 is a wasteful number, since it uses less digits than its factorization.

10001220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

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

Adding to 10001220000 its reverse (2210001), we get a palindrome (10003430001).

Subtracting from 10001220000 its reverse (2210001), we obtain a palindrome (9999009999).

The spelling of 10001220000 in words is "ten billion, one million, two hundred twenty thousand".