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10132244010 = 23257446889
BaseRepresentation
bin10010110111110110…
…11100011000101010
3222011010121022210200
421123323130120222
5131222323302020
64353225053030
7506041440000
oct113373343052
928133538720
1010132244010
11432a429989
121b69327176
13c56210475
146c1948a70
153e47d1590
hex25bedc62a

10132244010 has 120 divisors (see below), whose sum is σ = 30733300260. Its totient is φ = 2315892096.

The previous prime is 10132243921. The next prime is 10132244029. The reversal of 10132244010 is 1044223101.

Adding to 10132244010 its reverse (1044223101), we get a palindrome (11176467111).

It can be written as a sum of positive squares in 2 ways, for example, as 10080360801 + 51883209 = 100401^2 + 7203^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 192646 + ... + 239534.

Almost surely, 210132244010 is an apocalyptic number.

10132244010 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 10132244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366650130).

10132244010 is an abundant number, since it is smaller than the sum of its proper divisors (20601056250).

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

10132244010 is an equidigital number, since it uses as much as digits as its factorization.

10132244010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46930 (or 46906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10132244010 in words is "ten billion, one hundred thirty-two million, two hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 2401 3087 3430 4410 4802 5145 6174 7203 10290 12005 14406 15435 21609 24010 30870 36015 43218 46889 72030 93778 108045 140667 216090 234445 281334 328223 422001 468890 656446 703335 844002 984669 1406670 1641115 1969338 2110005 2297561 2954007 3282230 4220010 4595122 4923345 5908014 6892683 9846690 11487805 13785366 14770035 16082927 20678049 22975610 29540070 32165854 34463415 41356098 48248781 68926830 80414635 96497562 103390245 112580489 144746343 160829270 206780490 225160978 241243905 289492686 337741467 482487810 562902445 675482934 723731715 1013224401 1125804890 1447463430 1688707335 2026448802 3377414670 5066122005 10132244010