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10201201032 = 23311377871327
BaseRepresentation
bin10011000000000100…
…11111100110001000
3222022221100201001110
421200002133212020
5131343001413112
64404131050320
7510536530611
oct114002374610
928287321043
1010201201032
114365348360
121b884409a0
13c675a5339
146cab78c08
153ea8a313c
hex26009f988

10201201032 has 128 divisors (see below), whose sum is σ = 28631255040. Its totient is φ = 3001639680.

The previous prime is 10201201027. The next prime is 10201201117. The reversal of 10201201032 is 23010210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201200999 and 10201201017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7686753 + ... + 7688079.

It is an arithmetic number, because the mean of its divisors is an integer number (223681680).

Almost surely, 210201201032 is an apocalyptic number.

10201201032 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 10201201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315627520).

10201201032 is an abundant number, since it is smaller than the sum of its proper divisors (18430054008).

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

10201201032 is a wasteful number, since it uses less digits than its factorization.

10201201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201201032 its reverse (23010210201), we get a palindrome (33211411233).

The spelling of 10201201032 in words is "ten billion, two hundred one million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 787 814 888 1221 1327 1574 1628 2361 2442 2654 3148 3256 3981 4722 4884 5308 6296 7962 8657 9444 9768 10616 14597 15924 17314 18888 25971 29119 29194 31848 34628 43791 49099 51942 58238 58388 69256 87357 87582 98198 103884 116476 116776 147297 174714 175164 196396 207768 232952 294594 320309 349428 350328 392792 540089 589188 640618 698856 960927 1044349 1080178 1178376 1281236 1620267 1921854 2088698 2160356 2562472 3133047 3240534 3843708 4177396 4320712 6266094 6481068 7687416 8354792 11487839 12532188 12962136 22975678 25064376 34463517 38640913 45951356 68927034 77281826 91902712 115922739 137854068 154563652 231845478 275708136 309127304 425050043 463690956 850100086 927381912 1275150129 1700200172 2550300258 3400400344 5100600516 10201201032