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131003001030 = 23511283434807
BaseRepresentation
bin111101000000001100…
…0110010100011000110
3110112010211020222101010
41322000120302203012
54121243232013110
6140103144543050
712315243064416
oct1720030624306
9415124228333
10131003001030
1150615862700
1221480781a86
13c479922975
1464aa798646
15361ae39020
hex1e806328c6

131003001030 has 96 divisors (see below), whose sum is σ = 349752598272. Its totient is φ = 31375600960.

The previous prime is 131003001007. The next prime is 131003001043. The reversal of 131003001030 is 30100300131.

It is a junction number, because it is equal to n+sod(n) for n = 131003000997 and 131003001015.

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, 83887 + ... + 518693.

It is an arithmetic number, because the mean of its divisors is an integer number (3643256232).

Almost surely, 2131003001030 is an apocalyptic number.

131003001030 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 131003001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174876299136).

131003001030 is an abundant number, since it is smaller than the sum of its proper divisors (218749597242).

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

131003001030 is a wasteful number, since it uses less digits than its factorization.

131003001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434922 (or 434911 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131003001030 its reverse (30100300131), we get a palindrome (161103301161).

The spelling of 131003001030 in words is "one hundred thirty-one billion, three million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 121 165 166 242 249 330 363 415 498 605 726 830 913 1210 1245 1815 1826 2490 2739 3630 4565 5478 9130 10043 13695 20086 27390 30129 50215 60258 100430 150645 301290 434807 869614 1304421 2174035 2608842 4348070 4782877 6522105 9565754 13044210 14348631 23914385 28697262 36088981 47828770 52611647 71743155 72177962 105223294 108266943 143486310 157834941 180444905 216533886 263058235 315669882 360889810 396978791 526116470 541334715 789174705 793957582 1082669430 1190936373 1578349410 1984893955 2381872746 3969787910 4366766701 5954681865 8733533402 11909363730 13100300103 21833833505 26200600206 43667667010 65501500515 131003001030