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131212230320 = 24513924674783
BaseRepresentation
bin111101000110011011…
…0111011111010110000
3110112200101221221000002
41322030312323322300
54122210312332240
6140140021245132
712323363361353
oct1721466737260
9415611857002
10131212230320
1150712979776
122151a8637a8
13c4b108ba92
1464ca4a029a
15362e4b7d15
hex1e8cdbbeb0

131212230320 has 80 divisors (see below), whose sum is σ = 307451988480. Its totient is φ = 52075291392.

The previous prime is 131212230287. The next prime is 131212230323. The reversal of 131212230320 is 23032212131.

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

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 = 131212230292 and 131212230301.

It is not an unprimeable number, because it can be changed into a prime (131212230323) 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, 27430649 + ... + 27435431.

It is an arithmetic number, because the mean of its divisors is an integer number (3843149856).

Almost surely, 2131212230320 is an apocalyptic number.

131212230320 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 131212230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153725994240).

131212230320 is an abundant number, since it is smaller than the sum of its proper divisors (176239758160).

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

131212230320 is a wasteful number, since it uses less digits than its factorization.

131212230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7396 counting only the distinct ones).

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

Adding to 131212230320 its reverse (23032212131), we get a palindrome (154244442451).

The spelling of 131212230320 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2467 2780 4783 4934 5560 9566 9868 11120 12335 19132 19736 23915 24670 38264 39472 47830 49340 76528 95660 98680 191320 197360 342913 382640 664837 685826 1329674 1371652 1714565 2659348 2743304 3324185 3429130 5318696 5486608 6648370 6858260 10637392 11799661 13296740 13716520 23599322 26593480 27433040 47198644 53186960 58998305 94397288 117996610 188794576 235993220 471986440 943972880 1640152879 3280305758 6560611516 8200764395 13121223032 16401528790 26242446064 32803057580 65606115160 131212230320