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1105432034652 = 22321131607914813
BaseRepresentation
bin10000000101100000111…
…000100011110101011100
310220200022110101201102100
4100011200320203311130
5121102411100102102
62203454540525100
7142602431155161
oct20054070436534
93820273351370
101105432034652
113968a1624030
1215a2a6b50790
138031b2b356a
143b708aac068
151db4c7e7a1c
hex10160e23d5c

1105432034652 has 144 divisors (see below), whose sum is σ = 3147375329280. Its totient is φ = 324098409600.

The previous prime is 1105432034593. The next prime is 1105432034669. The reversal of 1105432034652 is 2564302345011.

1105432034652 is a `hidden beast` number, since 1 + 1 + 0 + 543 + 20 + 3 + 46 + 52 = 666.

It is a super-2 number, since 2×11054320346522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74618398 + ... + 74633210.

It is an arithmetic number, because the mean of its divisors is an integer number (21856773120).

Almost surely, 21105432034652 is an apocalyptic number.

1105432034652 is a gapful number since it is divisible by the number (12) 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 1105432034652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573687664640).

1105432034652 is an abundant number, since it is smaller than the sum of its proper divisors (2041943294628).

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

1105432034652 is a wasteful number, since it uses less digits than its factorization.

1105432034652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20944 (or 20939 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1105432034652 its reverse (2564302345011), we get a palindrome (3669734379663).

The spelling of 1105432034652 in words is "one trillion, one hundred five billion, four hundred thirty-two million, thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6079 6138 12158 12276 14813 18237 24316 29626 36474 44439 54711 59252 66869 72948 88878 109422 133317 133738 162943 177756 188449 200607 218844 266634 267476 325886 376898 401214 459203 488829 533268 565347 601821 651772 753796 802428 918406 977658 1130694 1203642 1377609 1466487 1696041 1836812 1955316 2072939 2261388 2407284 2755218 2932974 3392082 4132827 4145878 5051233 5510436 5865948 6218817 6784164 8265654 8291756 10102466 12437634 15153699 16531308 18656451 20204932 24875268 30307398 37312902 45461097 60614796 74625804 90048227 90922194 180096454 181844388 270144681 360192908 540289362 810434043 990530497 1080578724 1620868086 1981060994 2791495037 2971591491 3241736172 3962121988 5582990074 5943182982 8374485111 8914774473 11165980148 11886365964 16748970222 17829548946 25123455333 30706445407 33497940444 35659097892 50246910666 61412890814 92119336221 100493821332 122825781628 184238672442 276358008663 368477344884 552716017326 1105432034652