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201100013442 = 23310152370501
BaseRepresentation
bin1011101101001001111…
…1101010111110000010
3201020002000011011021000
42323102133222332002
511243323100412232
6232214543112430
720346305624166
oct2732237527602
9636060134230
10201100013442
1178316795619
1232b83ba2716
1315c6b1a5cc3
149a3a224ca6
15536ed0e27c
hex2ed27eaf82

201100013442 has 64 divisors (see below), whose sum is σ = 452182907520. Its totient is φ = 66241800000.

The previous prime is 201100013393. The next prime is 201100013453. The reversal of 201100013442 is 244310001102.

201100013442 is a `hidden beast` number, since 201 + 10 + 0 + 0 + 13 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817192 + ... + 2887692.

It is an arithmetic number, because the mean of its divisors is an integer number (7065357930).

Almost surely, 2201100013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226091453760).

201100013442 is an abundant number, since it is smaller than the sum of its proper divisors (251082894078).

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

201100013442 is a wasteful number, since it uses less digits than its factorization.

201100013442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71136 (or 71130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201100013442 its reverse (244310001102), we get a palindrome (445410014544).

The spelling of 201100013442 in words is "two hundred one billion, one hundred million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 523 606 909 1046 1569 1818 2727 3138 4707 5454 9414 14121 28242 52823 70501 105646 141002 158469 211503 316938 423006 475407 634509 950814 1269018 1426221 1903527 2852442 3807054 7120601 14241202 21361803 36872023 42723606 64085409 73744046 110616069 128170818 192256227 221232138 331848207 384512454 663696414 995544621 1991089242 3724074323 7448148646 11172222969 22344445938 33516668907 67033337814 100550006721 201100013442