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131123332000 = 2553191725307
BaseRepresentation
bin111101000011110001…
…1110100001110100000
3110112110012200102102201
41322013203310032200
54122020033111000
6140123124022544
712321233634523
oct1720743641640
9415405612381
10131123332000
1150677780091
12214b4b31a54
13c49883441b
1464bc75cbba
1536267a796a
hex1e878f43a0

131123332000 has 96 divisors (see below), whose sum is σ = 339126540480. Its totient is φ = 49688812800.

The previous prime is 131123331953. The next prime is 131123332001. The reversal of 131123332000 is 233321131.

It is a super-3 number, since 3×1311233320003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (131123332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786654 + ... + 938653.

It is an arithmetic number, because the mean of its divisors is an integer number (3532568130).

Almost surely, 2131123332000 is an apocalyptic number.

131123332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123332000 is an abundant number, since it is smaller than the sum of its proper divisors (208003208480).

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

131123332000 is a wasteful number, since it uses less digits than its factorization.

131123332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725351 (or 1725333 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131123332000 its reverse (233321131), we get a palindrome (131356653131).

The spelling of 131123332000 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 1725307 3450614 6901228 8626535 13802456 17253070 27604912 32780833 34506140 43132675 55209824 65561666 69012280 86265350 131123332 138024560 163904165 172530700 215663375 262246664 276049120 327808330 345061400 431326750 524493328 655616660 690122800 819520825 862653500 1048986656 1311233320 1380245600 1639041650 1725307000 2622466640 3278083300 3450614000 4097604125 5244933280 6556166600 6901228000 8195208250 13112333200 16390416500 26224666400 32780833000 65561666000 131123332000