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3023219199000 = 2335372111332337
BaseRepresentation
bin101011111111100101111…
…010000000110000011000
3101201000110100021210112110
4223333211322000300120
5344013023103332000
610232503035312320
7431264122122600
oct53774572006030
911630410253473
103023219199000
11a6615a471640
12409b05bab6a0
1318c11c139000
14a6478963c00
1553992e01850
hex2bfe5e80c18

3023219199000 has 3072 divisors, whose sum is σ = 13896446054400. Its totient is φ = 539675136000.

The previous prime is 3023219198981. The next prime is 3023219199073. The reversal of 3023219199000 is 9919123203.

3023219199000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3023219199000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 81708626982 + ... + 81708627018.

It is an arithmetic number, because the mean of its divisors is an integer number (4523582700).

Almost surely, 23023219199000 is an apocalyptic number.

3023219199000 is a gapful number since it is divisible by the number (30) 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 3023219199000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948223027200).

3023219199000 is an abundant number, since it is smaller than the sum of its proper divisors (10873226855400).

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

3023219199000 is a wasteful number, since it uses less digits than its factorization.

3023219199000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The spelling of 3023219199000 in words is "three trillion, twenty-three billion, two hundred nineteen million, one hundred ninety-nine thousand".