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1131000122142 = 23211192347278111
BaseRepresentation
bin10000011101010100110…
…111000100101100011110
311000010022100021010202200
4100131110313010230132
5122012242012402032
62223324013432330
7144466144263252
oct20352467045436
94003270233680
101131000122142
113a67220a1650
1216324179b6a6
1382864421007
143ca52692262
151e6472d247c
hex10754dc4b1e

1131000122142 has 192 divisors, whose sum is σ = 2998803824640. Its totient is φ = 303963105600.

The previous prime is 1131000122141. The next prime is 1131000122261. The reversal of 1131000122142 is 2412210001311.

It is a super-2 number, since 2×11310001221422 (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 (1131000122141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3927667 + ... + 4205777.

It is an arithmetic number, because the mean of its divisors is an integer number (15618769920).

Almost surely, 21131000122142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131000122142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499401912320).

1131000122142 is an abundant number, since it is smaller than the sum of its proper divisors (1867803702498).

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

1131000122142 is a wasteful number, since it uses less digits than its factorization.

1131000122142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278219 (or 278216 counting only the distinct ones).

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

Adding to 1131000122142 its reverse (2412210001311), we get a palindrome (3543210123453).

The spelling of 1131000122142 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-two thousand, one hundred forty-two".