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212142051000 = 23335311714283
BaseRepresentation
bin1100010110010010100…
…1101100111010111000
3202021120112200210012000
43011210221230322320
511433431331113000
6241242352221000
721220035452415
oct3054451547270
9667515623160
10212142051000
1181a727258a0
1235145b3a760
131700aa2b739
14a3a691910c
1557b9404000
hex3164a6ceb8

212142051000 has 256 divisors, whose sum is σ = 802283788800. Its totient is φ = 51428304000.

The previous prime is 212142050987. The next prime is 212142051013. The reversal of 212142051000 is 150241212.

212142051000 is a `hidden beast` number, since 2 + 12 + 142 + 0 + 510 + 0 + 0 = 666.

212142051000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212142050987) and next prime (212142051013).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60142 + ... + 654141.

It is an arithmetic number, because the mean of its divisors is an integer number (3133921050).

Almost surely, 2212142051000 is an apocalyptic number.

212142051000 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 212142051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401141894400).

212142051000 is an abundant number, since it is smaller than the sum of its proper divisors (590141737800).

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

212142051000 is a wasteful number, since it uses less digits than its factorization.

212142051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714324 (or 714304 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 212142051000 its reverse (150241212), we get a palindrome (212292292212).

The spelling of 212142051000 in words is "two hundred twelve billion, one hundred forty-two million, fifty-one thousand".