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131023113000 = 23353133359567
BaseRepresentation
bin111101000000110010…
…1100000101100101000
3110112012020002202210220
41322001211200230220
54121313404104000
6140105144010040
712315606041043
oct1720145405450
9415166082726
10131023113000
115062614a06a
1221487460920
13c480b45040
1464ad311c5a
15361caad1a0
hex1e81960b28

131023113000 has 128 divisors (see below), whose sum is σ = 440237790720. Its totient is φ = 32251833600.

The previous prime is 131023112993. The next prime is 131023113019. The reversal of 131023113000 is 311320131.

It is a super-4 number, since 4×1310231130004 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640784 + ... + 1718783.

It is an arithmetic number, because the mean of its divisors is an integer number (3439357740).

Almost surely, 2131023113000 is an apocalyptic number.

131023113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023113000 is an abundant number, since it is smaller than the sum of its proper divisors (309214677720).

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

131023113000 is a wasteful number, since it uses less digits than its factorization.

131023113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359604 (or 3359590 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131023113000 its reverse (311320131), we get a palindrome (131334433131).

It can be divided in two parts, 1310231 and 13000, that added together give a palindrome (1323231).

The spelling of 131023113000 in words is "one hundred thirty-one billion, twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 3359567 6719134 10078701 13438268 16797835 20157402 26876536 33595670 40314804 43674371 50393505 67191340 80629608 83989175 87348742 100787010 131023113 134382680 167978350 174697484 201574020 218371855 251967525 262046226 335956700 349394968 403148040 419945875 436743710 503935050 524092452 655115565 671913400 839891750 873487420 1007870100 1048184904 1091859275 1259837625 1310231130 1679783500 1746974840 2015740200 2183718550 2519675250 2620462260 3275577825 3359567000 4367437100 5039350500 5240924520 5459296375 6551155650 8734874200 10078701000 10918592750 13102311300 16377889125 21837185500 26204622600 32755778250 43674371000 65511556500 131023113000