Search a number
-
+
10133032350 = 2352721145737
BaseRepresentation
bin10010110111111100…
…11100110110011110
3222011012002101012110
421123332130312132
5131223024013400
64353254014450
7506051232240
oct113376346636
928135071173
1010133032350
11432a918201
121b69647426
13c5642823c
146c1ab2090
153e48d9e50
hex25bf9cd9e

10133032350 has 96 divisors (see below), whose sum is σ = 28856653056. Its totient is φ = 2305094400.

The previous prime is 10133032333. The next prime is 10133032369. The reversal of 10133032350 is 5323033101.

It is a super-2 number, since 2×101330323502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 198682 + ... + 244418.

It is an arithmetic number, because the mean of its divisors is an integer number (300590136).

Almost surely, 210133032350 is an apocalyptic number.

10133032350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133032350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428326528).

10133032350 is an abundant number, since it is smaller than the sum of its proper divisors (18723620706).

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

10133032350 is a wasteful number, since it uses less digits than its factorization.

10133032350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45970 (or 45965 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 10133032350 its reverse (5323033101), we get a palindrome (15456065451).

The spelling of 10133032350 in words is "ten billion, one hundred thirty-three million, thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 211 350 422 525 633 1050 1055 1266 1477 2110 2954 3165 4431 5275 6330 7385 8862 10550 14770 15825 22155 31650 36925 44310 45737 73850 91474 110775 137211 221550 228685 274422 320159 457370 640318 686055 960477 1143425 1372110 1600795 1920954 2286850 3201590 3430275 4802385 6860550 8003975 9604770 9650507 16007950 19301014 24011925 28951521 48023850 48252535 57903042 67553549 96505070 135107098 144757605 202660647 241262675 289515210 337767745 405321294 482525350 675535490 723788025 1013303235 1447576050 1688838725 2026606470 3377677450 5066516175 10133032350