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131303188842 = 237107151193493
BaseRepresentation
bin111101001001001000…
…1111010100101101010
3110112220202010002122020
41322102101322211222
54122402104020332
6140153031005310
712325546455510
oct1722221724552
9415822102566
10131303188842
115075a255201
1221545209836
13c4c6b880a7
1464d85ba4b0
15363748382c
hex1e9247a96a

131303188842 has 64 divisors (see below), whose sum is σ = 304934160384. Its totient is φ = 36918273600.

The previous prime is 131303188837. The next prime is 131303188897. The reversal of 131303188842 is 248881303131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 131303188794 and 131303188803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581848 + ... + 775340.

It is an arithmetic number, because the mean of its divisors is an integer number (4764596256).

Almost surely, 2131303188842 is an apocalyptic number.

131303188842 is an abundant number, since it is smaller than the sum of its proper divisors (173630971542).

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

131303188842 is a wasteful number, since it uses less digits than its factorization.

131303188842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193763.

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 131303188842 in words is "one hundred thirty-one billion, three hundred three million, one hundred eighty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 107 151 214 302 321 453 642 749 906 1057 1498 2114 2247 3171 4494 6342 16157 32314 48471 96942 113099 193493 226198 339297 386986 580479 678594 1160958 1354451 2708902 4063353 8126706 20703751 29217443 41407502 58434886 62111253 87652329 124222506 144926257 175304658 204522101 289852514 409044202 434778771 613566303 869557542 1227132606 3126266401 6252532802 9378799203 18757598406 21883864807 43767729614 65651594421 131303188842