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2211115412000 = 255311371358179
BaseRepresentation
bin100000001011010000101…
…111111010101000100000
321211101021102201222012102
4200023100233322220200
5242211331021141000
64411434500545532
7315514333620035
oct40132057725040
97741242658172
102211115412000
117828020085a0
122b86420b22a8
131306796896c1
1479038cc538c
153c7b21dc3d5
hex202d0bfaa20

2211115412000 has 192 divisors, whose sum is σ = 6086776026240. Its totient is φ = 782310528000.

The previous prime is 2211115411997. The next prime is 2211115412017. The reversal of 2211115412000 is 2145111122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948911 + ... + 2307089.

It is an arithmetic number, because the mean of its divisors is an integer number (31701958470).

Almost surely, 22211115412000 is an apocalyptic number.

2211115412000 is a gapful number since it is divisible by the number (20) 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 2211115412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043388013120).

2211115412000 is an abundant number, since it is smaller than the sum of its proper divisors (3875660614240).

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

2211115412000 is a wasteful number, since it uses less digits than its factorization.

2211115412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358252 (or 1358234 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The spelling of 2211115412000 in words is "two trillion, two hundred eleven billion, one hundred fifteen million, four hundred twelve thousand".