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101041111044 = 2234311855281
BaseRepresentation
bin101111000011010000…
…1010000000000000100
3100122210201200021010000
41132012201100000010
53123413011023134
6114230113401300
710204615162446
oct1360641200004
9318721607100
10101041111044
1139940089255
12176ba569230
1396b3412093
144c67430496
15296583be99
hex1786850004

101041111044 has 30 divisors (see below), whose sum is σ = 264141423854. Its totient is φ = 33680370240.

The previous prime is 101041110979. The next prime is 101041111069. The reversal of 101041111044 is 440111140101.

101041111044 is a `hidden beast` number, since 101 + 0 + 411 + 110 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96745881600 + 4295229444 = 311040^2 + 65538^2 .

It is a super-2 number, since 2×1010411110442 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 155927317 + ... + 155927964.

Almost surely, 2101041111044 is an apocalyptic number.

It is an amenable number.

101041111044 is an abundant number, since it is smaller than the sum of its proper divisors (163100312810).

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

101041111044 is a wasteful number, since it uses less digits than its factorization.

101041111044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311855297 (or 311855286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101041111044 its reverse (440111140101), we get a palindrome (541152251145).

The spelling of 101041111044 in words is "one hundred one billion, forty-one million, one hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 311855281 623710562 935565843 1247421124 1871131686 2806697529 3742263372 5613395058 8420092587 11226790116 16840185174 25260277761 33680370348 50520555522 101041111044