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1106279438202 = 234416719712619
BaseRepresentation
bin10000000110010011011…
…001001001011101111010
310220202111111221021120000
4100012103121021131322
5121111130014010302
62204115011413430
7142632431033361
oct20062331113572
93822444837500
101106279438202
113971969a1944
1215a4a28b4276
1380424a22a93
143b7894567d8
151db9bdd531c
hex1019364977a

1106279438202 has 160 divisors (see below), whose sum is σ = 2590534457280. Its totient is φ = 352569127680.

The previous prime is 1106279438171. The next prime is 1106279438213. The reversal of 1106279438202 is 2028349726011.

1106279438202 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 2 + 7 + 9 + 438 + 202 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 87661449 + ... + 87674067.

It is an arithmetic number, because the mean of its divisors is an integer number (16190840358).

Almost surely, 21106279438202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106279438202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295267228640).

1106279438202 is an abundant number, since it is smaller than the sum of its proper divisors (1484255019078).

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

1106279438202 is a wasteful number, since it uses less digits than its factorization.

1106279438202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1106279438202 in words is "one trillion, one hundred six billion, two hundred seventy-nine million, four hundred thirty-eight thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 67 81 82 123 134 162 197 201 246 369 394 402 591 603 738 1107 1182 1206 1773 1809 2214 2747 3321 3546 3618 5319 5427 5494 6642 8077 8241 10638 10854 12619 13199 15957 16154 16482 24231 24723 25238 26398 31914 37857 39597 48462 49446 72693 74169 75714 79194 113571 118791 145386 148338 218079 222507 227142 237582 340713 356373 436158 445014 517379 541159 654237 681426 712746 845473 1022139 1034758 1069119 1082318 1308474 1552137 1623477 1690946 2044278 2138238 2485943 2536419 3104274 3246954 4656411 4870431 4971886 5072838 7457829 7609257 9312822 9740862 13969233 14611293 14915658 15218514 22373487 22827771 27938466 29222586 34664393 41907699 43833879 44746974 45655542 67120461 68483313 69328786 83815398 87667758 101923663 103993179 134240922 136966626 166558181 201361383 203847326 207986358 305770989 311979537 333116362 402722766 499674543 611541978 623959074 917312967 935938611 999349086 1499023629 1834625934 1871877222 2751938901 2807815833 2998047258 4497070887 5503877802 5615631666 6828885421 8255816703 8994141774 13491212661 13657770842 16511633406 20486656263 26982425322 40973312526 61459968789 122919937578 184379906367 368759812734 553139719101 1106279438202