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131430001313400 = 23352456148026749
BaseRepresentation
bin11101111000100011101110…
…100010101000011001111000
3122020100120210202202201021020
4131320203232202220121320
5114211322120314012100
61143310035320542440
736453334645260516
oct3570435642503170
9566316722681236
10131430001313400
11389721724062a9
12128a8021621a20
135844a468c3bba
1424653630754b6
15102dbe14e15a0
hex7788ee8a8678

131430001313400 has 96 divisors (see below), whose sum is σ = 407522342310000. Its totient is φ = 35040315340800.

The previous prime is 131430001313389. The next prime is 131430001313419. The reversal of 131430001313400 is 4313100034131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21276775 + ... + 26749974.

Almost surely, 2131430001313400 is an apocalyptic number.

131430001313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131430001313400 is an abundant number, since it is smaller than the sum of its proper divisors (276092340996600).

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

131430001313400 is a wasteful number, since it uses less digits than its factorization.

131430001313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48031329 (or 48031320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131430001313400 its reverse (4313100034131), we get a palindrome (135743101347531).

The spelling of 131430001313400 in words is "one hundred thirty-one trillion, four hundred thirty billion, one million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4561 9122 13683 18244 22805 27366 36488 45610 54732 68415 91220 109464 114025 136830 182440 228050 273660 342075 456100 547320 684150 912200 1368300 2736600 48026749 96053498 144080247 192106996 240133745 288160494 384213992 480267490 576320988 720401235 960534980 1152641976 1200668725 1440802470 1921069960 2401337450 2881604940 3602006175 4802674900 5763209880 7204012350 9605349800 14408024700 28816049400 219050002189 438100004378 657150006567 876200008756 1095250010945 1314300013134 1752400017512 2190500021890 2628600026268 3285750032835 4381000043780 5257200052536 5476250054725 6571500065670 8762000087560 10952500109450 13143000131340 16428750164175 21905000218900 26286000262680 32857500328350 43810000437800 65715000656700 131430001313400