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11105077074003 = 34111929167135449
BaseRepresentation
bin1010000110011001101000…
…1011001001100001010011
31110022122010220201002210000
42201212122023021201103
52423421144212332003
635341334005541043
72224213106445003
oct241463213114123
943278126632700
1011105077074003
1135a1700554940
1212b42a3a14783
13627286a399a3
142a56ba9dc003
15143d064c21a3
hexa199a2c9853

11105077074003 has 160 divisors (see below), whose sum is σ = 19824678720000. Its totient is φ = 6119345594880.

The previous prime is 11105077074001. The next prime is 11105077074017. The reversal of 11105077074003 is 30047077050111.

11105077074003 is a `hidden beast` number, since 1 + 1 + 10 + 507 + 70 + 74 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 11105077074003 - 21 = 11105077074001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11105077074001) 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 159 ways as a sum of consecutive naturals, for example, 81919423 + ... + 82054871.

It is an arithmetic number, because the mean of its divisors is an integer number (123904242000).

Almost surely, 211105077074003 is an apocalyptic number.

11105077074003 is a deficient number, since it is larger than the sum of its proper divisors (8719601645997).

11105077074003 is a wasteful number, since it uses less digits than its factorization.

11105077074003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135687 (or 135678 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 11105077074003 in words is "eleven trillion, one hundred five billion, seventy-seven million, seventy-four thousand, three".

Divisors: 1 3 9 11 19 27 29 33 57 81 87 99 167 171 209 261 297 319 501 513 551 627 783 891 957 1503 1539 1653 1837 1881 2349 2871 3173 4509 4843 4959 5511 5643 6061 8613 9519 13527 14529 14877 16533 16929 18183 25839 28557 34903 43587 44631 49599 53273 54549 85671 92017 104709 130761 135449 148797 159819 163647 257013 276051 314127 392283 406347 479457 490941 828153 942381 1012187 1219041 1438371 1489939 2484459 2573531 2827143 3036561 3657123 3928021 4315113 4469817 7453377 7720593 9109683 10971369 11784063 13409451 22619983 23161779 27329049 28308841 35352189 40228353 43208231 67859949 69485337 74632399 81987147 84926523 106056567 120685059 129624693 203579847 208456011 223897197 248819813 254779569 318169701 388874079 429779677 610739541 655979507 671691591 746459439 764338707 820956389 1166622237 1289339031 1832218623 1967938521 2015074773 2239378317 2293016121 2462869167 3499866711 3868017093 4727576447 5903815563 6045224319 6718134951 7215774577 7388607501 11604051279 12463610633 14182729341 17711446689 20154404853 21647323731 22165822503 34812153837 37390831899 42548188023 53134340067 64941971193 66497467509 112172495697 127644564069 137099716963 194825913579 336517487091 382933692207 411299150889 584477740737 1009552461273 1233897452667 3701692358001 11105077074003