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1311040322300 = 2252316116674159
BaseRepresentation
bin10011000101000000000…
…101111011101011111100
311122100000122122221021002
4103011000011323223330
5132440002310303200
62442141132025432
7163501541604062
oct23050005735374
94570018587232
101311040322300
114660110a07a5
12192108902278
139682749c227
1447651954032
15241832cbbd5
hex1314017bafc

1311040322300 has 144 divisors (see below), whose sum is σ = 2987382128640. Its totient is φ = 498760416000.

The previous prime is 1311040322299. The next prime is 1311040322311. The reversal of 1311040322300 is 32230401131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315227621 + ... + 315231779.

Almost surely, 21311040322300 is an apocalyptic number.

1311040322300 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 1311040322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493691064320).

1311040322300 is an abundant number, since it is smaller than the sum of its proper divisors (1676341806340).

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

1311040322300 is a wasteful number, since it uses less digits than its factorization.

1311040322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5925 counting only the distinct ones).

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

Adding to 1311040322300 its reverse (32230401131), we get a palindrome (1343270723431).

The spelling of 1311040322300 in words is "one trillion, three hundred eleven billion, forty million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1667 1891 3050 3100 3334 3782 4159 6100 6668 7564 8318 8335 9455 16636 16670 18910 20795 33340 37820 41590 41675 47275 51677 83180 83350 94550 101687 103354 103975 128929 166700 189100 203374 206708 207950 253699 257858 258385 406748 415900 507398 508435 515716 516770 644645 1014796 1016870 1033540 1268495 1289290 1291925 2033740 2536990 2542175 2578580 2583850 3152297 3223225 5073980 5084350 5167700 6304594 6342475 6446450 6933053 7864669 10168700 12609188 12684950 12892900 13866106 15729338 15761485 25369900 27732212 31458676 31522970 34665265 39323345 63045940 69330530 78646690 78807425 138661060 157293380 157614850 173326325 196616725 214924643 315229700 346652650 393233450 422916233 429849286 693305300 786466900 845832466 859698572 1074623215 1691664932 2114581165 2149246430 4229162330 4298492860 5373116075 8458324660 10572905825 10746232150 13110403223 21145811650 21492464300 26220806446 42291623300 52441612892 65552016115 131104032230 262208064460 327760080575 655520161150 1311040322300