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102221101032 = 23331228315661
BaseRepresentation
bin101111100110011011…
…0100011011111101000
3100202211222000222001220
41133030312203133220
53133322100213112
6114543144542040
710246064010501
oct1371466433750
9322758028056
10102221101032
113a396168196
1217989781920
139840a1b6cb
144d3a031ba8
1529d422398c
hex17ccda37e8

102221101032 has 96 divisors (see below), whose sum is σ = 265012316640. Its totient is φ = 32855932800.

The previous prime is 102221101027. The next prime is 102221101061. The reversal of 102221101032 is 230101122201.

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, 6519282 + ... + 6534942.

It is an arithmetic number, because the mean of its divisors is an integer number (2760544965).

Almost surely, 2102221101032 is an apocalyptic number.

102221101032 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 102221101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132506158320).

102221101032 is an abundant number, since it is smaller than the sum of its proper divisors (162791215608).

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

102221101032 is a wasteful number, since it uses less digits than its factorization.

102221101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102221101032 its reverse (230101122201), we get a palindrome (332322223233).

The spelling of 102221101032 in words is "one hundred two billion, two hundred twenty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 283 372 566 744 849 961 1132 1698 1922 2264 2883 3396 3844 5766 6792 7688 8773 11532 15661 17546 23064 26319 31322 35092 46983 52638 62644 70184 93966 105276 125288 187932 210552 271963 375864 485491 543926 815889 970982 1087852 1456473 1631778 1941964 2175704 2912946 3263556 3883928 4432063 5825892 6527112 8864126 11651784 13296189 15050221 17728252 26592378 30100442 35456504 45150663 53184756 60200884 90301326 106369512 120401768 137393953 180602652 274787906 361205304 412181859 549575812 824363718 1099151624 1648727436 3297454872 4259212543 8518425086 12777637629 17036850172 25555275258 34073700344 51110550516 102221101032