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101132210120032 = 2571334729467761
BaseRepresentation
bin10110111111101010101101…
…011101011010010101100000
3111021002010220121101221010001
4112333222231131122111200
5101223422231242320112
6555031255042545344
730205363305314260
oct2677525535322540
9437063817357101
10101132210120032
112a250a25113083
12b414124668254
13445795a14c030
141ad8b7a0777a0
15ba5a32e14c57
hex5bfaad75a560

101132210120032 has 48 divisors (see below), whose sum is σ = 245051124528672. Its totient is φ = 40008346859520.

The previous prime is 101132210120023. The next prime is 101132210120069. The reversal of 101132210120032 is 230021012231101.

It is a junction number, because it is equal to n+sod(n) for n = 101132210119991 and 101132210120009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17364730969 + ... + 17364736792.

It is an arithmetic number, because the mean of its divisors is an integer number (5105231761014).

Almost surely, 2101132210120032 is an apocalyptic number.

It is an amenable number.

101132210120032 is an abundant number, since it is smaller than the sum of its proper divisors (143918914408640).

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

101132210120032 is a wasteful number, since it uses less digits than its factorization.

101132210120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34729467791 (or 34729467783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101132210120032 its reverse (230021012231101), we get a palindrome (331153222351133).

The spelling of 101132210120032 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 34729467761 69458935522 138917871044 243106274327 277835742088 451483080893 486212548654 555671484176 902966161786 972425097308 1111342968352 1805932323572 1944850194616 3160381566251 3611864647144 3889700389232 6320763132502 7223729294288 7779400778464 12641526265004 14447458588576 25283052530008 50566105060016 101132210120032