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212103551132000 = 255311431117100363
BaseRepresentation
bin110000001110100000110100…
…110100100010000101100000
31000210222220100011102200220222
4300032200310310202011200
5210300101033042211000
62031035005355422212
762450655503406203
oct6016406464420540
91023886304380828
10212103551132000
116164567a0a4290
121b95710a154968
1391473820bb228
143a53c1c13193a
15197c477d56a85
hexc0e834d22160

212103551132000 has 384 divisors, whose sum is σ = 582262520007168. Its totient is φ = 75266682624000.

The previous prime is 212103551131943. The next prime is 212103551132047. The reversal of 212103551132000 is 231155301212.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2113313819 + ... + 2113414181.

It is an arithmetic number, because the mean of its divisors is an integer number (1516308645852).

Almost surely, 2212103551132000 is an apocalyptic number.

212103551132000 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 212103551132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291131260003584).

212103551132000 is an abundant number, since it is smaller than the sum of its proper divisors (370158968875168).

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

212103551132000 is a wasteful number, since it uses less digits than its factorization.

212103551132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101559 (or 101541 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 212103551132000 in words is "two hundred twelve trillion, one hundred three billion, five hundred fifty-one million, one hundred thirty-two thousand".