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131002023300 = 223524127139301
BaseRepresentation
bin111101000000001010…
…1000011110110000100
3110112010202102022011220
41322000111003312010
54121243004221200
6140103112000340
712315231553041
oct1720025036604
9415122368156
10131002023300
1150615255065
12214803900b0
13c47966c925
1464aa5c21c8
15361ace44a0
hex1e80543d84

131002023300 has 144 divisors (see below), whose sum is σ = 389719889664. Its totient is φ = 33955200000.

The previous prime is 131002023253. The next prime is 131002023301. The reversal of 131002023300 is 3320200131.

131002023300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131002023300.

It is not an unprimeable number, because it can be changed into a prime (131002023301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3313650 + ... + 3352950.

Almost surely, 2131002023300 is an apocalyptic number.

131002023300 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 131002023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194859944832).

131002023300 is an abundant number, since it is smaller than the sum of its proper divisors (258717866364).

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

131002023300 is a wasteful number, since it uses less digits than its factorization.

131002023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39630 (or 39623 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131002023300 its reverse (3320200131), we get a palindrome (134322223431).

The spelling of 131002023300 in words is "one hundred thirty-one billion, two million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 39301 40650 44444 55555 66666 78602 81300 111110 117903 133332 157204 166665 196505 222220 235806 277775 333330 393010 471612 555550 589515 666660 786020 833325 982525 1111100 1179030 1611341 1666650 1965050 2358060 2947575 3222682 3333300 3930100 4834023 5895150 6445364 8056705 9668046 10650571 11790300 16113410 19336092 21301142 24170115 31951713 32226820 40283525 42602284 48340230 53252855 63903426 80567050 96680460 106505710 120850575 127806852 159758565 161134100 213011420 241701150 266264275 319517130 436673411 483402300 532528550 639034260 798792825 873346822 1065057100 1310020233 1597585650 1746693644 2183367055 2620040466 3195171300 4366734110 5240080932 6550101165 8733468220 10916835275 13100202330 21833670550 26200404660 32750505825 43667341100 65501011650 131002023300