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131001101320 = 23543331230101
BaseRepresentation
bin111101000000001000…
…1100010110000001000
3110112010200200110110111
41322000101202300020
54121242240220240
6140103040124104
712315220663045
oct1720021426010
9415120613414
10131001101320
11506147853a1
1221480006634
13c47940908b
1464aa4221cc
15361abb11ea
hex1e80462c08

131001101320 has 64 divisors (see below), whose sum is σ = 302519701440. Its totient is φ = 51026976000.

The previous prime is 131001101303. The next prime is 131001101323. The reversal of 131001101320 is 23101100131.

It is a super-2 number, since 2×1310011013202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131001101320.

It is not an unprimeable number, because it can be changed into a prime (131001101323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454270 + ... + 684370.

It is an arithmetic number, because the mean of its divisors is an integer number (4726870335).

Almost surely, 2131001101320 is an apocalyptic number.

131001101320 is a gapful number since it is divisible by the number (10) 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 131001101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151259850720).

131001101320 is an abundant number, since it is smaller than the sum of its proper divisors (171518600120).

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

131001101320 is a wasteful number, since it uses less digits than its factorization.

131001101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230486 (or 230482 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131001101320 its reverse (23101100131), we get a palindrome (154102201451).

The spelling of 131001101320 in words is "one hundred thirty-one billion, one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 331 344 430 662 860 1324 1655 1720 2648 3310 6620 13240 14233 28466 56932 71165 113864 142330 230101 284660 460202 569320 920404 1150505 1840808 2301010 4602020 9204040 9894343 19788686 39577372 49471715 76163431 79154744 98943430 152326862 197886860 304653724 380817155 395773720 609307448 761634310 1523268620 3046537240 3275027533 6550055066 13100110132 16375137665 26200220264 32750275330 65500550660 131001101320