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31400323205200 = 2452175387126313
BaseRepresentation
bin1110010001110111101010…
…00111000100100001010000
311010011211201111212002010221
413020323311013010201100
513103430330220031300
6150441035341202424
76420412165264405
oct710736507044120
9133154644762127
1031400323205200
11a006890932184
123631714860414
13146a064caa1b1
147a7ad888a2ac
15396bdb4cd31a
hex1c8ef51c4850

31400323205200 has 120 divisors (see below), whose sum is σ = 81383992896888. Its totient is φ = 11598254653440.

The previous prime is 31400323205131. The next prime is 31400323205201. The reversal of 31400323205200 is 250232300413.

It can be written as a sum of positive squares in 12 ways, for example, as 362009195584 + 31038314009616 = 601672^2 + 5571204^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31400323205201) 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, 43202757 + ... + 43923556.

Almost surely, 231400323205200 is an apocalyptic number.

It is an amenable number.

31400323205200 is an abundant number, since it is smaller than the sum of its proper divisors (49983669691688).

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

31400323205200 is a wasteful number, since it uses less digits than its factorization.

31400323205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87126401 (or 87126390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 31400323205200 its reverse (250232300413), we get a palindrome (31650555505613).

The spelling of 31400323205200 in words is "thirty-one trillion, four hundred billion, three hundred twenty-three million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 136 170 200 212 265 272 340 400 424 425 530 680 848 850 901 1060 1325 1360 1700 1802 2120 2650 3400 3604 4240 4505 5300 6800 7208 9010 10600 14416 18020 21200 22525 36040 45050 72080 90100 180200 360400 87126313 174252626 348505252 435631565 697010504 871263130 1394021008 1481147321 1742526260 2178157825 2962294642 3485052520 4356315650 4617694589 5924589284 6970105040 7405736605 8712631300 9235389178 11849178568 14811473210 17425262600 18470778356 23088472945 23698357136 29622946420 34850525200 36941556712 37028683025 46176945890 59245892840 73883113424 74057366050 78500808013 92353891780 115442364725 118491785680 148114732100 157001616026 184707783560 230884729450 296229464200 314003232052 369415567120 392504040065 461769458900 592458928400 628006464104 785008080130 923538917800 1256012928208 1570016160260 1847077835600 1962520200325 3140032320520 3925040400650 6280064641040 7850080801300 15700161602600 31400323205200