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2131203222000 = 2432531011172279
BaseRepresentation
bin11111000000110101100…
…111000110100111110000
321112202000012212002212200
4133000311213012213300
5234404201011101000
64311021121223200
7306655126330206
oct37006547064760
97482005762780
102131203222000
11751924727466
122a505b791b00
13125c827baa88
1475217a87076
153a6867b6500
hex1f0359c69f0

2131203222000 has 240 divisors, whose sum is σ = 7517287702080. Its totient is φ = 562693440000.

The previous prime is 2131203221981. The next prime is 2131203222107. The reversal of 2131203222000 is 2223021312.

2131203222000 is a `hidden beast` number, since 21 + 3 + 120 + 322 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231861 + ... + 2404139.

It is an arithmetic number, because the mean of its divisors is an integer number (31322032092).

Almost surely, 22131203222000 is an apocalyptic number.

2131203222000 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 2131203222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758643851040).

2131203222000 is an abundant number, since it is smaller than the sum of its proper divisors (5386084480080).

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

2131203222000 is a wasteful number, since it uses less digits than its factorization.

2131203222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172409 (or 1172390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2131203222000 its reverse (2223021312), we get a palindrome (2133426243312).

The spelling of 2131203222000 in words is "two trillion, one hundred thirty-one billion, two hundred three million, two hundred twenty-two thousand".