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13354530011145 = 335236479117297
BaseRepresentation
bin1100001001010101100000…
…0001000111100000001001
31202021200101011021010201000
43002111120001013200021
53222300034140324040
644222553021045213
72545555463103261
oct302253001074011
952250334233630
1013354530011145
114289696048504
1215b82450b6809
1375b432c0a5bb
143425113767a1
151825ae256130
hexc2558047809

13354530011145 has 128 divisors (see below), whose sum is σ = 24842550804480. Its totient is φ = 6793818071040.

The previous prime is 13354530011063. The next prime is 13354530011159. The reversal of 13354530011145 is 54111003545331.

13354530011145 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 4 + 530 + 0 + 1 + 114 + 5 = 666.

It is not a de Polignac number, because 13354530011145 - 216 = 13354529945609 is a prime.

It is a super-2 number, since 2×133545300111452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1830136137 + ... + 1830143433.

It is an arithmetic number, because the mean of its divisors is an integer number (194082428160).

Almost surely, 213354530011145 is an apocalyptic number.

13354530011145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13354530011145 is a deficient number, since it is larger than the sum of its proper divisors (11488020793335).

13354530011145 is a wasteful number, since it uses less digits than its factorization.

13354530011145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 13354530011145 its reverse (54111003545331), we get a palindrome (67465533556476).

The spelling of 13354530011145 in words is "thirteen trillion, three hundred fifty-four billion, five hundred thirty million, eleven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 647 911 1035 1941 2733 3105 3235 4555 5823 7297 8199 9705 13665 14881 17469 20953 21891 24597 29115 36485 40995 44643 62859 65673 74405 87345 104765 109455 122985 133929 167831 188577 197019 223215 314295 328365 401787 503493 565731 589417 669645 839155 942885 985095 1510479 1768251 2008935 2517465 2828655 2947085 4531437 4721159 5304753 6647567 7552395 8841255 13556591 14163477 15914259 19942701 22657185 23605795 26523765 33237835 40669773 42490431 59828103 67782955 70817385 79571295 99713505 108586657 122009319 127471293 152894041 179484309 203348865 212452155 299140515 325759971 366027957 458682123 542933285 610046595 637356465 764470205 897421545 977279913 1376046369 1628799855 1830139785 2293410615 2931839739 4128139107 4300975849 4886399565 6880231845 12902927547 14659198695 20640695535 21504879245 38708782641 64514637735 98922444527 116126347923 193543913205 296767333581 494612222635 580631739615 890302000743 1483836667905 2670906002229 4451510003715 13354530011145