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100561604652 = 2236101341447
BaseRepresentation
bin101110110100111110…
…0000101000000101100
3100121120022101211000000
41131221330011000230
53121422232322102
6114110344104300
710160003351565
oct1355174050054
9317508354000
10100561604652
1139714449a83
12175a5a65090
139637c83ca2
144c1d89116c
1529386c101c
hex1769f0502c

100561604652 has 84 divisors (see below), whose sum is σ = 266466702096. Its totient is φ = 33188551200.

The previous prime is 100561604641. The next prime is 100561604657. The reversal of 100561604652 is 256406165001.

100561604652 is a `hidden beast` number, since 1 + 0 + 0 + 561 + 6 + 0 + 46 + 52 = 666.

It is a super-2 number, since 2×1005616046522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100561604657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 123793 + ... + 465239.

It is an arithmetic number, because the mean of its divisors is an integer number (3172222644).

Almost surely, 2100561604652 is an apocalyptic number.

100561604652 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 100561604652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133233351048).

100561604652 is an abundant number, since it is smaller than the sum of its proper divisors (165905097444).

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

100561604652 is a wasteful number, since it uses less digits than its factorization.

100561604652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341570 (or 341553 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 100561604652 its reverse (256406165001), we get a palindrome (356967769653).

The spelling of 100561604652 in words is "one hundred billion, five hundred sixty-one million, six hundred four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 606 729 909 972 1212 1458 1818 2727 2916 3636 5454 8181 10908 16362 24543 32724 49086 73629 98172 147258 294516 341447 682894 1024341 1365788 2048682 3073023 4097364 6146046 9219069 12292092 18438138 27657207 34486147 36876276 55314414 68972294 82971621 103458441 110628828 137944588 165943242 206916882 248914863 310375323 331886484 413833764 497829726 620750646 931125969 995659452 1241501292 1862251938 2793377907 3724503876 5586755814 8380133721 11173511628 16760267442 25140401163 33520534884 50280802326 100561604652