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3142212111000 = 23325331101111509
BaseRepresentation
bin101101101110011010011…
…011111100101010011000
3102010101121011110001000100
4231232122123330222120
5402440222300023000
610403302354335400
7443005642153434
oct55563233745230
912111534401010
103142212111000
111001671901626
12428b9458a560
1319a4037a3c01
14ac1262359c4
1556b09775a00
hex2db9a6fca98

3142212111000 has 384 divisors, whose sum is σ = 11071926028800. Its totient is φ = 802857600000.

The previous prime is 3142212110929. The next prime is 3142212111023. The reversal of 3142212111000 is 1112122413.

3142212111000 is a `hidden beast` number, since 31 + 422 + 1 + 211 + 1 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 28123246 + ... + 28234754.

It is an arithmetic number, because the mean of its divisors is an integer number (28833140700).

Almost surely, 23142212111000 is an apocalyptic number.

3142212111000 is a gapful number since it is divisible by the number (30) 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 3142212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535963014400).

3142212111000 is an abundant number, since it is smaller than the sum of its proper divisors (7929713917800).

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

3142212111000 is a wasteful number, since it uses less digits than its factorization.

3142212111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111668 (or 111651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3142212111000 its reverse (1112122413), we get a palindrome (3143324233413).

The spelling of 3142212111000 in words is "three trillion, one hundred forty-two billion, two hundred twelve million, one hundred eleven thousand".