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11300322342408 = 23311471951466801
BaseRepresentation
bin1010010001110000111110…
…1100101111011000001000
31111000022002220010101201020
42210130033230233120020
52440121030004424113
640011144005352440
72244264344031531
oct244341754573010
944008086111636
1011300322342408
1136674923aa8a0
1213260b3108720
1363c800c740c8
142b0d1d425688
15148e322dc023
hexa470fb2f608

11300322342408 has 128 divisors (see below), whose sum is σ = 31490985738240. Its totient is φ = 3349756800000.

The previous prime is 11300322342383. The next prime is 11300322342457. The reversal of 11300322342408 is 80424322300311.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 23974608 + ... + 24441408.

It is an arithmetic number, because the mean of its divisors is an integer number (246023326080).

Almost surely, 211300322342408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300322342408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745492869120).

11300322342408 is an abundant number, since it is smaller than the sum of its proper divisors (20190663395832).

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

11300322342408 is a wasteful number, since it uses less digits than its factorization.

11300322342408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468819 (or 468815 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 11300322342408 its reverse (80424322300311), we get a palindrome (91724644642719).

The spelling of 11300322342408 in words is "eleven trillion, three hundred billion, three hundred twenty-two million, three hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 1951 2068 3102 3902 4136 5853 6204 7804 11706 12408 15608 21461 23412 42922 46824 64383 85844 91697 128766 171688 183394 257532 275091 366788 466801 515064 550182 733576 933602 1008667 1100364 1400403 1867204 2017334 2200728 2800806 3026001 3734408 4034668 5134811 5601612 6052002 8069336 10269622 11203224 12104004 15404433 20539244 21939647 24208008 30808866 41078488 43879294 61617732 65818941 87758588 123235464 131637882 175517176 241336117 263275764 482672234 526551528 724008351 910728751 965344468 1448016702 1821457502 1930688936 2732186253 2896033404 3642915004 5464372506 5792066808 7285830008 10018016261 10928745012 20036032522 21857490024 30054048783 40072065044 42804251297 60108097566 80144130088 85608502594 120216195132 128412753891 171217005188 240432390264 256825507782 342434010376 470846764267 513651015564 941693528534 1027302031128 1412540292801 1883387057068 2825080585602 3766774114136 5650161171204 11300322342408