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2131332012000 = 253253263225109
BaseRepresentation
bin11111000000111101010…
…010011001011111100000
321112202100012012022112200
4133000331102121133200
5234404431443341000
64311042001453200
7306661252121232
oct37007522313740
97482305168480
102131332012000
117519903a2284
122a5096941200
13125ca33a1889
147522ac10252
153a692c56500
hex1f03d4997e0

2131332012000 has 288 divisors, whose sum is σ = 7592891866560. Its totient is φ = 566191641600.

The previous prime is 2131332011929. The next prime is 2131332012001. The reversal of 2131332012000 is 2102331312.

2131332012000 is a `hidden beast` number, since 2 + 131 + 332 + 0 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21313320120002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131332012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9355446 + ... + 9580554.

It is an arithmetic number, because the mean of its divisors is an integer number (26364207870).

Almost surely, 22131332012000 is an apocalyptic number.

2131332012000 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 2131332012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796445933280).

2131332012000 is an abundant number, since it is smaller than the sum of its proper divisors (5461559854560).

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

2131332012000 is a wasteful number, since it uses less digits than its factorization.

2131332012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225403 (or 225382 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2131332012000 its reverse (2102331312), we get a palindrome (2133434343312).

The spelling of 2131332012000 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, twelve thousand".