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101000011109982 = 23433163123766333
BaseRepresentation
bin10110111101101111100101…
…110010001101011001011110
3111020121111200102122101210120
4112331233211302031121132
5101214241010321004412
6554450433051215410
730163003300263015
oct2675574562153136
9436544612571716
10101000011109982
112a1aa956230176
12b3b258b447566
13444834c80162a
141ad25d890ba7c
15ba2396eccb8c
hex5bdbe5c8d65e

101000011109982 has 32 divisors (see below), whose sum is σ = 206763047449728. Its totient is φ = 32873327909856.

The previous prime is 101000011109969. The next prime is 101000011109983. The reversal of 101000011109982 is 289901110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011109983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61067113 + ... + 62699220.

It is an arithmetic number, because the mean of its divisors is an integer number (6461345232804).

Almost surely, 2101000011109982 is an apocalyptic number.

101000011109982 is an abundant number, since it is smaller than the sum of its proper divisors (105763036339746).

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

101000011109982 is a wasteful number, since it uses less digits than its factorization.

101000011109982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123769544.

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 101000011109982 in words is "one hundred one trillion, eleven million, one hundred nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 43 86 129 258 3163 6326 9489 18978 136009 272018 408027 816054 123766333 247532666 371298999 742597998 5321952319 10643904638 15965856957 31931713914 391472911279 782945822558 1174418733837 2348837467674 16833335184997 33666670369994 50500005554991 101000011109982