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11033111402214 = 23114365322392659
BaseRepresentation
bin1010000010001101100010…
…1011111001011011100110
31110001202101111121012010120
42200203120223321123212
52421231303004332324
635244312535502410
72216054533356546
oct240433053713346
943052344535116
1011033111402214
113574130832530
1212a235a827a06
136205582a7045
142a2010d05326
15141ee3530179
hexa08d8af96e6

11033111402214 has 128 divisors (see below), whose sum is σ = 24690084249600. Its totient is φ = 3257931438720.

The previous prime is 11033111402147. The next prime is 11033111402233. The reversal of 11033111402214 is 41220411133011.

11033111402214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4149344817 + ... + 4149347475.

It is an arithmetic number, because the mean of its divisors is an integer number (192891283200).

Almost surely, 211033111402214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033111402214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345042124800).

11033111402214 is an abundant number, since it is smaller than the sum of its proper divisors (13656972847386).

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

11033111402214 is a wasteful number, since it uses less digits than its factorization.

11033111402214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11033111402214 its reverse (41220411133011), we get a palindrome (52253522535225).

The spelling of 11033111402214 in words is "eleven trillion, thirty-three billion, one hundred eleven million, four hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 653 946 1306 1419 1959 2239 2659 2838 3918 4478 5318 6717 7183 7977 13434 14366 15954 21549 24629 28079 29249 43098 49258 56158 58498 73887 84237 87747 96277 114337 147774 168474 175494 192554 228674 288831 308869 343011 577662 617738 686022 926607 1059047 1257707 1462067 1736327 1853214 2118094 2515414 2924134 3177141 3472654 3773121 4386201 5208981 5953501 6354282 7546242 8772402 10417962 11907002 16082737 17860503 19099597 32165474 35721006 38199194 48248211 57298791 62868881 65488511 74662061 96496422 114597582 125737762 130977022 149324122 188606643 196465533 223986183 256000543 377213286 392931066 447972366 512001086 691557691 768001629 821282671 1383115382 1536003258 1642565342 2074673073 2463848013 2816005973 3887636153 4149346146 4927696026 5632011946 7775272306 8448017919 11662908459 16896035838 23325816918 42763997683 85527995366 128291993049 167168354579 256583986098 334336709158 501505063737 1003010127474 1838851900369 3677703800738 5516555701107 11033111402214