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11013021331004 = 22711832293187877
BaseRepresentation
bin1010000001000010101100…
…1110010110111000111100
31102222211112101120211102002
42200100223032112320330
52420414131430043004
635231151231521432
72214443635522430
oct240205316267074
942884471524362
1011013021331004
1135666614836a0
12129a492689278
1361b6a6053c44
142a1066a949c0
1514171992161e
hexa042b396e3c

11013021331004 has 96 divisors (see below), whose sum is σ = 24328643867136. Its totient is φ = 4237220033280.

The previous prime is 11013021330991. The next prime is 11013021331019. The reversal of 11013021331004 is 40013312031011.

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, 58524314 + ... + 58712190.

It is an arithmetic number, because the mean of its divisors is an integer number (253423373616).

Almost surely, 211013021331004 is an apocalyptic number.

11013021331004 is a gapful number since it is divisible by the number (14) 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 11013021331004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164321933568).

11013021331004 is an abundant number, since it is smaller than the sum of its proper divisors (13315622536132).

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

11013021331004 is a wasteful number, since it uses less digits than its factorization.

11013021331004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190275 (or 190273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11013021331004 its reverse (40013312031011), we get a palindrome (51026333362015).

The spelling of 11013021331004 in words is "eleven trillion, thirteen billion, twenty-one million, three hundred thirty-one thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 581 913 1162 1826 2293 2324 3652 4586 6391 9172 12782 16051 25223 25564 32102 50446 64204 100892 176561 187877 190319 353122 375754 380638 706244 751508 761276 1315139 1332233 2066647 2093509 2630278 2664466 4133294 4187018 5260556 5328932 8266588 8374036 14466529 14654563 15593791 28933058 29309126 31187582 57866116 58618252 62375164 109156537 171531701 218313074 343063402 430801961 436626148 686126804 861603922 1200721907 1723207844 2401443814 3015613727 4738821571 4802887628 6031227454 9477643142 12062454908 18955286284 33171750997 35756562763 66343501994 71513125526 132687003988 143026251052 250295939341 393322190393 500591878682 786644380786 1001183757364 1573288761572 2753255332751 5506510665502 11013021331004