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131300223300 = 223252499292363
BaseRepresentation
bin111101001001000011…
…0100110100101000100
3110112220112112102200100
41322102012212211010
54122400324121200
6140152443244100
712325512324561
oct1722206464504
9415815472610
10131300223300
115075860a144
1221544219630
13c4c638a32c
1464d8047868
153637099d00
hex1e921a6944

131300223300 has 108 divisors (see below), whose sum is σ = 412379422000. Its totient is φ = 34943106240.

The previous prime is 131300223287. The next prime is 131300223343. The reversal of 131300223300 is 3322003131.

131300223300 is a `hidden beast` number, since 1 + 31 + 300 + 2 + 2 + 330 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 302919 + ... + 595281.

Almost surely, 2131300223300 is an apocalyptic number.

131300223300 is a gapful number since it is divisible by the number (10) 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 131300223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206189711000).

131300223300 is an abundant number, since it is smaller than the sum of its proper divisors (281079198700).

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

131300223300 is a wasteful number, since it uses less digits than its factorization.

131300223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292882 (or 292872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131300223300 its reverse (3322003131), we get a palindrome (134622226431).

The spelling of 131300223300 in words is "one hundred thirty-one billion, three hundred million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 499 900 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 12475 14970 17964 22455 24950 29940 37425 44910 49900 74850 89820 112275 149700 224550 292363 449100 584726 877089 1169452 1461815 1754178 2631267 2923630 3508356 4385445 5262534 5847260 7309075 8770890 10525068 13156335 14618150 17541780 21927225 26312670 29236300 43854450 52625340 65781675 87708900 131563350 145889137 263126700 291778274 437667411 583556548 729445685 875334822 1313002233 1458891370 1750669644 2188337055 2626004466 2917782740 3647228425 4376674110 5252008932 6565011165 7294456850 8753348220 10941685275 13130022330 14588913700 21883370550 26260044660 32825055825 43766741100 65650111650 131300223300