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10340213331320 = 2351982125576481
BaseRepresentation
bin1001011001111000010010…
…1111100001010101111000
31100121111220020122011121222
42112132010233201111320
52323403224103100240
633554121201251212
72115025061060645
oct226360457412570
940544806564558
1010340213331320
113327294947334
1211b0004633b08
135a01022b0922
1427a67ccd0dcc
1512de8cbc7eb5
hex96784be1578

10340213331320 has 128 divisors (see below), whose sum is σ = 24533182497600. Its totient is φ = 3911489740800.

The previous prime is 10340213331319. The next prime is 10340213331359. The reversal of 10340213331320 is 2313331204301.

10340213331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10340213331320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595462480 + ... + 1595468960.

Almost surely, 210340213331320 is an apocalyptic number.

10340213331320 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 10340213331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266591248800).

10340213331320 is an abundant number, since it is smaller than the sum of its proper divisors (14192969166280).

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

10340213331320 is a wasteful number, since it uses less digits than its factorization.

10340213331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10340213331320 its reverse (2313331204301), we get a palindrome (12653544535621).

The spelling of 10340213331320 in words is "ten trillion, three hundred forty billion, two hundred thirteen million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 821 1642 2557 3284 4105 5114 6481 6568 8210 10228 12785 12962 15599 16420 20456 25570 25924 31198 32405 32840 48583 51140 51848 62396 64810 77995 97166 102280 123139 124792 129620 155990 194332 242915 246278 259240 311980 388664 485830 492556 615695 623960 971660 985112 1231390 1943320 2099297 2462780 4198594 4925560 5320901 8397188 10496485 10641802 16571917 16794376 20992970 21283604 26604505 33143834 39886643 41985940 42567208 53209010 66287668 79773286 82859585 83971880 101097119 106418020 132575336 159546572 165719170 199433215 202194238 212836040 314866423 319093144 331438340 398866430 404388476 505485595 629732846 662876680 797732860 808776952 1010971190 1259465692 1574332115 1595465720 2021942380 2518931384 3148664230 4043884760 6297328460 12594656920 13605543857 27211087714 54422175428 68027719285 108844350856 136055438570 258505333283 272110877140 517010666566 544221754280 1034021333132 1292526666415 2068042666264 2585053332830 5170106665660 10340213331320