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132210212141000 = 23537181111793419
BaseRepresentation
bin11110000011111010010110…
…101110101111011111001000
3122100010011200000002100002202
4132003322112232233133020
5114312113003302003000
61145104311042415332
736563605210010420
oct3603722656573710
9570104600070082
10132210212141000
1139143044049964
12129b3284661548
1358a04a5a713b6
142491019115480
15104415730edd5
hex783e96baf7c8

132210212141000 has 256 divisors, whose sum is σ = 355843386662400. Its totient is φ = 45037938816000.

The previous prime is 132210212140957. The next prime is 132210212141003. The reversal of 132210212141000 is 141212012231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (132210212141003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1415192291 + ... + 1415285709.

It is an arithmetic number, because the mean of its divisors is an integer number (1390013229150).

Almost surely, 2132210212141000 is an apocalyptic number.

132210212141000 is a gapful number since it is divisible by the number (10) 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 132210212141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177921693331200).

132210212141000 is an abundant number, since it is smaller than the sum of its proper divisors (223633174521400).

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

132210212141000 is a wasteful number, since it uses less digits than its factorization.

132210212141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94745 (or 94731 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 132210212141000 its reverse (141212012231), we get a palindrome (132351424153231).

The spelling of 132210212141000 in words is "one hundred thirty-two trillion, two hundred ten billion, two hundred twelve million, one hundred forty-one thousand".