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101202241032 = 233234911633463
BaseRepresentation
bin101111001000000011…
…1111010011000001000
3100200012221212111220100
41132100013322120020
53124230233203112
6114254111125400
710211612566254
oct1362007723010
9320187774810
10101202241032
1139a13032632
1217744513860
13970a909c79
144c809b5264
152974a692dc
hex17901fa608

101202241032 has 96 divisors (see below), whose sum is σ = 275190552000. Its totient is φ = 33598793088.

The previous prime is 101202240967. The next prime is 101202241093. The reversal of 101202241032 is 230142202101.

It is a happy number.

101202241032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 101202240996 and 101202241014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29222133 + ... + 29225595.

It is an arithmetic number, because the mean of its divisors is an integer number (2866568250).

Almost surely, 2101202241032 is an apocalyptic number.

101202241032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202241032 is an abundant number, since it is smaller than the sum of its proper divisors (173988310968).

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

101202241032 is a wasteful number, since it uses less digits than its factorization.

101202241032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101202241032 its reverse (230142202101), we get a palindrome (331344443133).

The spelling of 101202241032 in words is "one hundred one billion, two hundred two million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 698 1047 1163 1396 2094 2326 2792 3141 3463 3489 4188 4652 6282 6926 6978 8376 9304 10389 10467 12564 13852 13956 20778 20934 25128 27704 27912 31167 41556 41868 62334 83112 83736 124668 249336 405887 811774 1208587 1217661 1623548 2417174 2435322 3247096 3625761 3652983 4027469 4834348 4870644 7251522 7305966 8054938 9668696 9741288 10877283 12082407 14503044 14611932 16109876 21754566 24164814 29006088 29223864 32219752 36247221 43509132 48329628 72494442 87018264 96659256 144988884 289977768 1405586681 2811173362 4216760043 5622346724 8433520086 11244693448 12650280129 16867040172 25300560258 33734080344 50601120516 101202241032