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10032132021219 = 3271141389907667
BaseRepresentation
bin1001000111111100100110…
…1010100101101111100011
31022112001200112022001111100
42101333021222211233203
52303331301244134334
633200410421445443
72053540404124410
oct221771152455743
938461615261440
1010032132021219
11321866aa97160
121160364870883
1357a045140429
142697b479b107
15125e5ad0bc99
hex91fc9aa5be3

10032132021219 has 96 divisors (see below), whose sum is σ = 18554767096320. Its totient is φ = 5071311475200.

The previous prime is 10032132021217. The next prime is 10032132021239. The reversal of 10032132021219 is 91212023123001.

10032132021219 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 320 + 2 + 1 + 2 + 19 = 666.

It is not a de Polignac number, because 10032132021219 - 21 = 10032132021217 is a prime.

It is a super-2 number, since 2×100321320212192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032132021192 and 10032132021201.

It is not an unprimeable number, because it can be changed into a prime (10032132021217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10598824 + ... + 11506490.

It is an arithmetic number, because the mean of its divisors is an integer number (193278823920).

Almost surely, 210032132021219 is an apocalyptic number.

10032132021219 is a deficient number, since it is larger than the sum of its proper divisors (8522635075101).

10032132021219 is a wasteful number, since it uses less digits than its factorization.

10032132021219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908121 (or 908118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10032132021219 in words is "ten trillion, thirty-two billion, one hundred thirty-two million, twenty-one thousand, two hundred nineteen".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 389 451 693 861 1167 1353 2583 2723 3157 3501 4059 4279 8169 9471 12837 15949 24507 28413 29953 38511 47847 89859 111643 143541 175439 269577 334929 526317 907667 1004787 1228073 1578951 2723001 3684219 6353669 8169003 9984337 11052657 19061007 29953011 37214347 57183021 69890359 89859033 111643041 209671077 260500429 334929123 353082463 409357817 629013231 781501287 1059247389 1228073451 2344503861 2471577241 2865504719 3177742167 3684220353 3883907093 7414731723 8596514157 11651721279 14476380983 22244195169 25789542471 27187349651 34955163837 43429142949 81562048953 101334666881 130287428847 159240190813 244686146859 304004000643 477720572439 912012001929 1114681335691 1433161717317 3344044007073 10032132021219