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131024310320 = 2454315476947
BaseRepresentation
bin111101000000110101…
…0000101000000110000
3110112012022100121020002
41322001222011000300
54121314210412240
6140105225405132
712315622155551
oct1720152050060
9415168317202
10131024310320
1150626897692
12214879397a8
13c481174007
1464ad544328
15361cc47d15
hex1e81a85030

131024310320 has 80 divisors (see below), whose sum is σ = 305940561408. Its totient is φ = 52185020160.

The previous prime is 131024310317. The next prime is 131024310377. The reversal of 131024310320 is 23013420131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1310243103203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131024310292 and 131024310301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18857087 + ... + 18864033.

Almost surely, 2131024310320 is an apocalyptic number.

131024310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131024310320 is an abundant number, since it is smaller than the sum of its proper divisors (174916251088).

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

131024310320 is a wasteful number, since it uses less digits than its factorization.

131024310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131024310320 its reverse (23013420131), we get a palindrome (154037730451).

The spelling of 131024310320 in words is "one hundred thirty-one billion, twenty-four million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 547 862 1094 1724 2155 2188 2735 3448 4310 4376 5470 6896 6947 8620 8752 10940 13894 17240 21880 27788 34480 34735 43760 55576 69470 111152 138940 235757 277880 471514 555760 943028 1178785 1886056 2357570 2994157 3772112 3800009 4715140 5988314 7600018 9430280 11976628 14970785 15200036 18860560 19000045 23953256 29941570 30400072 38000090 47906512 59883140 60800144 76000180 119766280 152000360 239532560 304000720 1637803879 3275607758 6551215516 8189019395 13102431032 16378038790 26204862064 32756077580 65512155160 131024310320