Search a number
-
+
10001011032 = 233117057
BaseRepresentation
bin10010101000001101…
…10101000101011000
3221210222200000000000
421110012311011120
5130440224323112
64332220213000
7502556122365
oct112406650530
927728600000
1010001011032
114272345681
121b3139a160
13c34c8270c
146ac34746c
153d800c7dc
hex2541b5158

10001011032 has 96 divisors (see below), whose sum is σ = 28131776400. Its totient is φ = 3333197952.

The previous prime is 10001011001. The next prime is 10001011037. The reversal of 10001011032 is 23011010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413648 + ... + 1420704.

Almost surely, 210001011032 is an apocalyptic number.

10001011032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065888200).

10001011032 is an abundant number, since it is smaller than the sum of its proper divisors (18130765368).

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

10001011032 is an frugal number, since it uses more digits than its factorization.

10001011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001011032 its reverse (23011010001), we get a palindrome (33012021033).

The spelling of 10001011032 in words is "ten billion, one million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 7057 8748 13122 14114 17496 19683 21171 26244 28228 39366 42342 52488 56456 59049 63513 78732 84684 118098 127026 157464 169368 177147 190539 236196 254052 354294 381078 472392 508104 571617 708588 762156 1143234 1417176 1524312 1714851 2286468 3429702 4572936 5144553 6859404 10289106 13718808 15433659 20578212 30867318 41156424 46300977 61734636 92601954 123469272 138902931 185203908 277805862 370407816 416708793 555611724 833417586 1111223448 1250126379 1666835172 2500252758 3333670344 5000505516 10001011032