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100544445012 = 223112934617589
BaseRepresentation
bin101110110100011101…
…0100111101001010100
3100121112010010000101210
41131220322213221110
53121403334220022
6114104532221420
710156404452514
oct1355072475124
9317463100353
10100544445012
1139705799760
12175a016a870
13963455665b
144c1b4a5844
152936e31a0c
hex1768ea7a54

100544445012 has 96 divisors (see below), whose sum is σ = 264867926400. Its totient is φ = 29405017600.

The previous prime is 100544445011. The next prime is 100544445109. The reversal of 100544445012 is 210544445001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100544445011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13244914 + ... + 13252502.

It is an arithmetic number, because the mean of its divisors is an integer number (2759040900).

Almost surely, 2100544445012 is an apocalyptic number.

100544445012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100544445012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132433963200).

100544445012 is an abundant number, since it is smaller than the sum of its proper divisors (164323481388).

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

100544445012 is a wasteful number, since it uses less digits than its factorization.

100544445012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 100544445012 in words is "one hundred billion, five hundred forty-four million, four hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3461 3828 6922 7589 10383 13844 15178 20766 22767 30356 38071 41532 45534 76142 83479 91068 100369 114213 152284 166958 200738 220081 228426 250437 301107 333916 401476 440162 456852 500874 602214 660243 880324 1001748 1104059 1204428 1320486 2208118 2420891 2640972 3312177 4416236 4841782 6624354 7262673 9683564 13248708 14525346 26265529 29050692 52531058 78796587 105062116 157593174 288920819 315186348 577841638 761700341 866762457 1155683276 1523400682 1733524914 2285101023 3046801364 3467049828 4570202046 8378703751 9140404092 16757407502 25136111253 33514815004 50272222506 100544445012