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131023010130 = 235171163220901
BaseRepresentation
bin111101000000110010…
…1000111100101010010
3110112012012220112200220
41322001211013211102
54121313342311010
6140105141453510
712315605132115
oct1720145074522
9415165815626
10131023010130
1150626089851
1221487411296
13c480b0a27c
1464ad2c657c
15361ca8c970
hex1e81947952

131023010130 has 64 divisors (see below), whose sum is σ = 333240386688. Its totient is φ = 32855782400.

The previous prime is 131023010071. The next prime is 131023010143. The reversal of 131023010130 is 31010320131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482680 + ... + 703580.

It is an arithmetic number, because the mean of its divisors is an integer number (5206881042).

Almost surely, 2131023010130 is an apocalyptic number.

131023010130 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 131023010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166620193344).

131023010130 is an abundant number, since it is smaller than the sum of its proper divisors (202217376558).

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

131023010130 is a wasteful number, since it uses less digits than its factorization.

131023010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222091.

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

Adding to 131023010130 its reverse (31010320131), we get a palindrome (162033330261).

The spelling of 131023010130 in words is "one hundred thirty-one billion, twenty-three million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1163 2326 3489 5815 6978 11630 17445 19771 34890 39542 59313 98855 118626 197710 220901 296565 441802 593130 662703 1104505 1325406 2209010 3313515 3755317 6627030 7510634 11265951 18776585 22531902 37553170 56329755 112659510 256907863 513815726 770723589 1284539315 1541447178 2569078630 3853617945 4367433671 7707235890 8734867342 13102301013 21837168355 26204602026 43674336710 65511505065 131023010130