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10340310401330 = 25713151157479309
BaseRepresentation
bin1001011001111000101010…
…0001110100000100110010
31100121112011000021211122112
42112132022201310010302
52323403423430320310
633554134550005322
72115030350130620
oct226361241640462
940545130254575
1010340310401330
113327334717488
1211b0031046842
135a01194398c0
1427a68bb5c510
1512de9649e705
hex9678a874132

10340310401330 has 128 divisors (see below), whose sum is σ = 23206395663360. Its totient is φ = 3230152473600.

The previous prime is 10340310401329. The next prime is 10340310401339. The reversal of 10340310401330 is 3310401304301.

It is a junction number, because it is equal to n+sod(n) for n = 10340310401296 and 10340310401305.

It is not an unprimeable number, because it can be changed into a prime (10340310401339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21333716 + ... + 21813024.

It is an arithmetic number, because the mean of its divisors is an integer number (181299966120).

Almost surely, 210340310401330 is an apocalyptic number.

10340310401330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10340310401330 is an abundant number, since it is smaller than the sum of its proper divisors (12866085262030).

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

10340310401330 is a wasteful number, since it uses less digits than its factorization.

10340310401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479644.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10340310401330 its reverse (3310401304301), we get a palindrome (13650711705631).

The spelling of 10340310401330 in words is "ten trillion, three hundred forty billion, three hundred ten million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 151 157 182 302 314 455 755 785 910 1057 1099 1510 1570 1963 2041 2114 2198 3926 4082 5285 5495 9815 10205 10570 10990 13741 14287 19630 20410 23707 27482 28574 47414 68705 71435 118535 137410 142870 165949 237070 308191 331898 479309 616382 829745 958618 1540955 1659490 2157337 2396545 3081910 3355163 4314674 4793090 6231017 6710326 10786685 12462034 16775815 21573370 31155085 33551630 43617119 62310170 72375659 75251513 87234238 144751318 150503026 218085595 361878295 376257565 436171190 506629613 526760591 723756590 752515130 940883567 978269669 1013259226 1053521182 1881767134 1956539338 2533148065 2633802955 4704417835 4891348345 5066296130 5267605910 6586184969 6847887683 9408835670 9782696690 11362978463 13172369938 13695775366 22725956926 32930924845 34239438415 56814892315 65861849690 68478876830 79540849241 113629784630 147718720019 159081698482 295437440038 397704246205 738593600095 795408492410 1034031040133 1477187200190 2068062080266 5170155200665 10340310401330