Search a number
-
+
100103236512 = 2534722186001
BaseRepresentation
bin101110100111010011…
…1100010101110100000
3100120101100220022010020
41131032213202232200
53120002412032022
6113553051433440
710142436320406
oct1351647425640
9316340808106
10100103236512
11394a9738234
1217498455880
139594017436
144bb8a55476
15290d32d35c
hex174e9e2ba0

100103236512 has 48 divisors (see below), whose sum is σ = 268361880192. Its totient is φ = 32657792000.

The previous prime is 100103236507. The next prime is 100103236517. The reversal of 100103236512 is 215632301001.

It is an interprime number because it is at equal distance from previous prime (100103236507) and next prime (100103236517).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1001032365122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100103236517) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11088489 + ... + 11097512.

It is an arithmetic number, because the mean of its divisors is an integer number (5590872504).

Almost surely, 2100103236512 is an apocalyptic number.

100103236512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103236512 is an abundant number, since it is smaller than the sum of its proper divisors (168258643680).

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

100103236512 is a wasteful number, since it uses less digits than its factorization.

100103236512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186061 (or 22186053 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 100103236512 its reverse (215632301001), we get a palindrome (315735537513).

The spelling of 100103236512 in words is "one hundred billion, one hundred three million, two hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 22186001 44372002 66558003 88744004 133116006 177488008 266232012 354976016 532464024 709952032 1042742047 1064928048 2085484094 2129856096 3128226141 4170968188 6256452282 8341936376 12512904564 16683872752 25025809128 33367745504 50051618256 100103236512