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131121120300 = 223523971100933
BaseRepresentation
bin111101000011101101…
…1011000010000101100
3110112110001112001112220
41322013123120100230
54122014001322200
6140123004355340
712321206063442
oct1720733302054
9415401461486
10131121120300
11506764aa435
12214b4245b50
13c49823b821
1464bc344b92
1536264bc4a0
hex1e876d842c

131121120300 has 72 divisors (see below), whose sum is σ = 380333063376. Its totient is φ = 34877525760.

The previous prime is 131121120281. The next prime is 131121120307. The reversal of 131121120300 is 3021121131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131121120300.

It is not an unprimeable number, because it can be changed into a prime (131121120307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431367 + ... + 669566.

It is an arithmetic number, because the mean of its divisors is an integer number (5282403658).

Almost surely, 2131121120300 is an apocalyptic number.

131121120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121120300 is an abundant number, since it is smaller than the sum of its proper divisors (249211943076).

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

131121120300 is a wasteful number, since it uses less digits than its factorization.

131121120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101347 (or 1101340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131121120300 its reverse (3021121131), we get a palindrome (134142241431).

The spelling of 131121120300 in words is "one hundred thirty-one billion, one hundred twenty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 794 1191 1588 1985 2382 3970 4764 5955 7940 9925 11910 19850 23820 29775 39700 59550 119100 1100933 2201866 3302799 4403732 5504665 6605598 11009330 13211196 16513995 22018660 27523325 33027990 55046650 66055980 82569975 110093300 165139950 330279900 437070401 874140802 1311211203 1748281604 2185352005 2622422406 4370704010 5244844812 6556056015 8741408020 10926760025 13112112030 21853520050 26224224060 32780280075 43707040100 65560560150 131121120300