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101200020324 = 2231317253115077
BaseRepresentation
bin101111000111111111…
…1011100001101100100
3100200012210200200122220
41132033333130031210
53124224201122244
6114253551352340
710211554660014
oct1361777341544
9320183620586
10101200020324
1139a11856137
12177438226b0
13970a310240
144c80597c44
15297477b319
hex178ffdc364

101200020324 has 96 divisors (see below), whose sum is σ = 269380411776. Its totient is φ = 29293271040.

The previous prime is 101200020323. The next prime is 101200020349. The reversal of 101200020324 is 423020002101.

It is a super-2 number, since 2×1012000203242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101200020323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6704674 + ... + 6719750.

It is an arithmetic number, because the mean of its divisors is an integer number (2806045956).

Almost surely, 2101200020324 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 101200020324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134690205888).

101200020324 is an abundant number, since it is smaller than the sum of its proper divisors (168180391452).

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

101200020324 is a wasteful number, since it uses less digits than its factorization.

101200020324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101200020324 its reverse (423020002101), we get a palindrome (524220022425).

The spelling of 101200020324 in words is "one hundred one billion, two hundred million, twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2531 2652 5062 7593 10124 15077 15186 30154 30372 32903 43027 45231 60308 65806 86054 90462 98709 129081 131612 172108 180924 196001 197418 256309 258162 392002 394836 512618 516324 559351 588003 768927 784004 1025236 1118702 1176006 1537854 1678053 2237404 2352012 3075708 3332017 3356106 6664034 6712212 9996051 13328068 19992102 38159887 39984204 76319774 114479661 152639548 228959322 457918644 496078531 648718079 992157062 1297436158 1488235593 1946154237 1984314124 2594872316 2976471186 3892308474 5952942372 7784616948 8433335027 16866670054 25300005081 33733340108 50600010162 101200020324