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100211545044 = 2232131672335503
BaseRepresentation
bin101110101010100010…
…0101101001111010100
3100120122220200221111100
41131111010231033110
53120213123420134
6114011521110100
710145223035622
oct1352504551724
9316586627440
10100211545044
1139554894016
1217508788330
1395b05a9920
144bc91aa512
152917ac4999
hex175512d3d4

100211545044 has 144 divisors (see below), whose sum is σ = 275659517952. Its totient is φ = 30512595456.

The previous prime is 100211545037. The next prime is 100211545111. The reversal of 100211545044 is 440545112001.

100211545044 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 154 + 504 + 4 = 666.

100211545044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100211544999 and 100211545017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18207597 + ... + 18213099.

It is an arithmetic number, because the mean of its divisors is an integer number (1914302208).

Almost surely, 2100211545044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211545044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137829758976).

100211545044 is an abundant number, since it is smaller than the sum of its proper divisors (175447972908).

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

100211545044 is a wasteful number, since it uses less digits than its factorization.

100211545044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 100211545044 its reverse (440545112001), we get a palindrome (540756657045).

The spelling of 100211545044 in words is "one hundred billion, two hundred eleven million, five hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 167 233 234 334 466 468 501 668 699 932 1002 1398 1503 2004 2097 2171 2796 3006 3029 4194 4342 5503 6012 6058 6513 8388 8684 9087 11006 12116 13026 16509 18174 19539 22012 26052 27261 33018 36348 38911 39078 49527 54522 66036 71539 77822 78156 99054 109044 116733 143078 155644 198108 214617 233466 286156 350199 429234 466932 505843 643851 700398 858468 919001 1011686 1282199 1287702 1400796 1517529 1838002 2023372 2564398 2575404 2757003 3035058 3676004 3846597 4552587 5128796 5514006 6070116 7693194 8271009 9105174 11028012 11539791 11947013 15386388 16542018 16668587 18210348 23079582 23894026 33084036 33337174 35841039 46159164 47788052 50005761 66674348 71682078 100011522 107523117 143364156 150017283 200023044 214127233 215046234 300034566 428254466 430092468 600069132 642381699 856508932 1284763398 1927145097 2569526796 2783654029 3854290194 5567308058 7708580388 8350962087 11134616116 16701924174 25052886261 33403848348 50105772522 100211545044