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101132423144032 = 2571759450133631
BaseRepresentation
bin10110111111101010111010…
…001010000010001001100000
3111021002011110110020200002211
4112333222322022002021200
5101223423200311102112
6555031332132451504
730205401503064430
oct2677527212021140
9437064413220084
10101132423144032
112a251024391175
12b414183a79b94
134457992316437
141ad8b9a48a2c0
15ba5a469930a7
hex5bfaba282260

101132423144032 has 96 divisors (see below), whose sum is σ = 245016738570240. Its totient is φ = 40101504829440.

The previous prime is 101132423144009. The next prime is 101132423144047. The reversal of 101132423144032 is 230441324231101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101132423143985 and 101132423144003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224842144 + ... + 225291487.

It is an arithmetic number, because the mean of its divisors is an integer number (2552257693440).

Almost surely, 2101132423144032 is an apocalyptic number.

It is an amenable number.

101132423144032 is an abundant number, since it is smaller than the sum of its proper divisors (143884315426208).

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

101132423144032 is a wasteful number, since it uses less digits than its factorization.

101132423144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450133724 (or 450133716 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 101132423144032 its reverse (230441324231101), we get a palindrome (331573747375133).

The spelling of 101132423144032 in words is "one hundred one trillion, one hundred thirty-two billion, four hundred twenty-three million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 68 112 118 119 136 224 236 238 272 413 472 476 544 826 944 952 1003 1652 1888 1904 2006 3304 3808 4012 6608 7021 8024 13216 14042 16048 28084 32096 56168 112336 224672 450133631 900267262 1800534524 3150935417 3601069048 6301870834 7202138096 7652271727 12603741668 14404276192 15304543454 25207483336 26557884229 30609086908 50414966672 53115768458 53565902089 61218173816 100829933344 106231536916 107131804178 122436347632 185905189603 212463073832 214263608356 244872695264 371810379206 424926147664 428527216712 451484031893 743620758412 849852295328 857054433424 902968063786 1487241516824 1714108866848 1805936127572 2974483033648 3160388223251 3611872255144 5948966067296 6320776446502 7223744510288 12641552893004 14447489020576 25283105786008 50566211572016 101132423144032