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101133102 = 23717197719
BaseRepresentation
bin1100000011100…
…10101100101110
321001022002112110
412001302230232
5201342224402
614011344450
72335421460
oct601625456
9231262473
10101133102
11520a5884
1229a52126
1317c4c495
14d608130
158d2a56c
hex6072b2e

101133102 has 64 divisors (see below), whose sum is σ = 246343680. Its totient is φ = 27019776.

The previous prime is 101133091. The next prime is 101133127. The reversal of 101133102 is 201331101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140299 + ... + 141017.

It is an arithmetic number, because the mean of its divisors is an integer number (3849120).

Almost surely, 2101133102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123171840).

101133102 is an abundant number, since it is smaller than the sum of its proper divisors (145210578).

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

101133102 is a wasteful number, since it uses less digits than its factorization.

101133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101133102 is about 10056.4955128514. The cubic root of 101133102 is about 465.9054343406.

Adding to 101133102 its reverse (201331101), we get a palindrome (302464203).

The spelling of 101133102 in words is "one hundred one million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 197 238 357 394 591 714 719 1182 1379 1438 2157 2758 3349 4137 4314 5033 6698 8274 10047 10066 12223 15099 20094 23443 24446 30198 36669 46886 70329 73338 85561 140658 141643 171122 256683 283286 424929 513366 849858 991501 1983002 2407931 2974503 4815862 5949006 7223793 14447586 16855517 33711034 50566551 101133102