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131303003112 = 233271151170101
BaseRepresentation
bin111101001001001000…
…1001101001111101000
3110112220201202122212100
41322102101031033220
54122402032044422
6140153023013400
712325545053151
oct1722221151750
9415821678770
10131303003112
115075a138706
122154513a260
13c4c6b216a8
1464d856c928
1536374487ac
hex1e9244d3e8

131303003112 has 96 divisors (see below), whose sum is σ = 363011276160. Its totient is φ = 42865200000.

The previous prime is 131303003107. The next prime is 131303003137. The reversal of 131303003112 is 211300303131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686862 + ... + 856962.

It is an arithmetic number, because the mean of its divisors is an integer number (3781367460).

Almost surely, 2131303003112 is an apocalyptic number.

131303003112 is a gapful number since it is divisible by the number (12) 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 131303003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181505638080).

131303003112 is an abundant number, since it is smaller than the sum of its proper divisors (231708273048).

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

131303003112 is a wasteful number, since it uses less digits than its factorization.

131303003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170335 (or 170328 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131303003112 its reverse (211300303131), we get a palindrome (342603306243).

The spelling of 131303003112 in words is "one hundred thirty-one billion, three hundred three million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 151 213 284 302 426 453 568 604 639 852 906 1208 1278 1359 1704 1812 2556 2718 3624 5112 5436 10721 10872 21442 32163 42884 64326 85768 96489 128652 170101 192978 257304 340202 385956 510303 680404 771912 1020606 1360808 1530909 2041212 3061818 4082424 6123636 12077171 12247272 24154342 25685251 36231513 48308684 51370502 72463026 77055753 96617368 102741004 108694539 144926052 154111506 205482008 217389078 231167259 289852104 308223012 434778156 462334518 616446024 869556312 924669036 1823652821 1849338072 3647305642 5470958463 7294611284 10941916926 14589222568 16412875389 21883833852 32825750778 43767667704 65651501556 131303003112