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10343020022456 = 23113137145170621
BaseRepresentation
bin1001011010000010110000…
…0010001100101010111000
31100121210010211220212001112
42112200230002030222320
52323430001111204311
633555303502335452
72115154451414642
oct226405402145270
940553124825045
1010343020022456
1133284a5184990
1211b066858a588
135a045b911604
1427a867977892
1512e0a42d528b
hex9682c08cab8

10343020022456 has 128 divisors (see below), whose sum is σ = 22444643358720. Its totient is φ = 4423636800000.

The previous prime is 10343020022443. The next prime is 10343020022479. The reversal of 10343020022456 is 65422002034301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146422826 + ... + 146493446.

It is an arithmetic number, because the mean of its divisors is an integer number (175348776240).

Almost surely, 210343020022456 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 10343020022456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11222321679360).

10343020022456 is an abundant number, since it is smaller than the sum of its proper divisors (12101623336264).

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

10343020022456 is a wasteful number, since it uses less digits than its factorization.

10343020022456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72157 (or 72153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 10343020022456 its reverse (65422002034301), we get a palindrome (75765022056757).

The spelling of 10343020022456 in words is "ten trillion, three hundred forty-three billion, twenty million, twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 88 124 148 248 296 341 407 682 814 1147 1364 1451 1628 2294 2728 2902 3256 4588 5804 9176 11608 12617 15961 25234 31922 44981 50468 53687 63844 70621 89962 100936 107374 127688 141242 179924 214748 282484 359848 429496 494791 564968 590557 776831 989582 1181114 1553662 1664297 1979164 2189251 2362228 2612977 3107324 3328594 3958328 4378502 4724456 5225954 6214648 6657188 8757004 10451908 13314376 17514008 18307267 20903816 24081761 28742747 36614534 48163522 57485494 73229068 81002287 96327044 102471071 114970988 146458136 162004574 192654088 204942142 229941976 324009148 409884284 648018296 819768568 891025157 1127181781 1782050314 2254363562 3176603201 3564100628 3791429627 4508727124 6353206402 7128201256 7582859254 9017454248 12706412804 15165718508 25412825608 30331437016 34942635211 41705725897 69885270422 83411451794 117534318437 139770540844 166822903588 235068636874 279541081688 333645807176 470137273748 940274547496 1292877502807 2585755005614 5171510011228 10343020022456