Search a number
-
+
10132255206 = 23243472231249
BaseRepresentation
bin10010110111110110…
…11111000111100110
3222011010121220011100
421123323133013212
5131222324131311
64353225220530
7506041514433
oct113373370746
928133556140
1010132255206
11432a437337
121b69331746
13c562155a8
146c194cb8a
153e47d4a56
hex25bedf1e6

10132255206 has 96 divisors (see below), whose sum is σ = 23063040000. Its totient is φ = 3211633152.

The previous prime is 10132255193. The next prime is 10132255279. The reversal of 10132255206 is 60255223101.

It is a happy number.

10132255206 is a `hidden beast` number, since 1 + 0 + 132 + 2 + 5 + 520 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10132255206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111670 + ... + 8112918.

It is an arithmetic number, because the mean of its divisors is an integer number (240240000).

Almost surely, 210132255206 is an apocalyptic number.

10132255206 is an abundant number, since it is smaller than the sum of its proper divisors (12930784794).

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

10132255206 is a wasteful number, since it uses less digits than its factorization.

10132255206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10132255206 its reverse (60255223101), we get a palindrome (70387478307).

The spelling of 10132255206 in words is "ten billion, one hundred thirty-two million, two hundred fifty-five thousand, two hundred six".

Divisors: 1 2 3 6 9 18 43 47 86 94 129 141 223 258 282 387 423 446 669 774 846 1249 1338 2007 2021 2498 3747 4014 4042 6063 7494 9589 10481 11241 12126 18189 19178 20962 22482 28767 31443 36378 53707 57534 58703 62886 86301 94329 107414 117406 161121 172602 176109 188658 278527 322242 352218 450683 483363 528327 557054 835581 901366 966726 1056654 1352049 1671162 2506743 2524229 2704098 4056147 5013486 5048458 7572687 8112294 11976661 13090769 15145374 22718061 23953322 26181538 35929983 39272307 45436122 71859966 78544614 107789949 117816921 215579898 235633842 562903067 1125806134 1688709201 3377418402 5066127603 10132255206