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1010100111232 = 27131251239999
BaseRepresentation
bin11101011001011101010…
…10001000011110000000
310120120020121120020101211
432230232222020132000
5113022141112024412
62052011130535504
7132656136165322
oct16545652103600
93516217506354
101010100111232
1135a4211a7a63
12143920597594
1374337938314
1436c639c9612
151b41d2ebca7
hexeb2ea88780

1010100111232 has 64 divisors (see below), whose sum is σ = 2035756800000. Its totient is φ = 499195840000.

The previous prime is 1010100111211. The next prime is 1010100111233. The reversal of 1010100111232 is 2321110010101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100111233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4088769 + ... + 4328767.

It is an arithmetic number, because the mean of its divisors is an integer number (31808700000).

Almost surely, 21010100111232 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 1010100111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017878400000).

1010100111232 is an abundant number, since it is smaller than the sum of its proper divisors (1025656688768).

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

1010100111232 is a wasteful number, since it uses less digits than its factorization.

1010100111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240395 (or 240383 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010100111232 its reverse (2321110010101), we get a palindrome (3331210121333).

The spelling of 1010100111232 in words is "one trillion, ten billion, one hundred million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 131 251 262 502 524 1004 1048 2008 2096 4016 4192 8032 8384 16064 16768 32128 32881 65762 131524 239999 263048 479998 526096 959996 1052192 1919992 2104384 3839984 4208768 7679968 15359936 30719872 31439869 60239749 62879738 120479498 125759476 240958996 251518952 481917992 503037904 963835984 1006075808 1927671968 2012151616 3855343936 4024303232 7710687872 7891407119 15782814238 31565628476 63131256952 126262513904 252525027808 505050055616 1010100111232