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1106032875052 = 2271712736749853
BaseRepresentation
bin10000000110000100101…
…100100101011000101100
310220201212022222120111111
4100012010230211120230
5121110123404000202
62204034323001404
7142623345214360
oct20060454453054
93821768876444
101106032875052
1139707a7a6346
1215a434209264
13803b5914821
143b7647d32a0
151db8542e6d7
hex10184b2562c

1106032875052 has 96 divisors (see below), whose sum is σ = 2367109398528. Its totient is φ = 441403167744.

The previous prime is 1106032875041. The next prime is 1106032875083. The reversal of 1106032875052 is 2505782306011.

It is a junction number, because it is equal to n+sod(n) for n = 1106032874996 and 1106032875014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22160958 + ... + 22210810.

It is an arithmetic number, because the mean of its divisors is an integer number (24657389568).

Almost surely, 21106032875052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106032875052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183554699264).

1106032875052 is an abundant number, since it is smaller than the sum of its proper divisors (1261076523476).

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

1106032875052 is a wasteful number, since it uses less digits than its factorization.

1106032875052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50375 (or 50373 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1106032875052 in words is "one trillion, one hundred six billion, thirty-two million, eight hundred seventy-five thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 127 238 254 367 476 508 734 889 1468 1778 2159 2569 3556 4318 5138 6239 8636 10276 12478 15113 24956 30226 43673 46609 49853 60452 87346 93218 99706 174692 186436 199412 326263 348971 652526 697942 792353 847501 1305052 1395884 1584706 1695002 3169412 3390004 5546471 5932507 6331331 11092942 11865014 12662662 18296051 22185884 23730028 25325324 36592102 44319317 73184204 88638634 107632627 128072357 177277268 215265254 256144714 311032867 430530508 512289428 622065734 753428389 1244131468 1506856778 2177230069 2323598477 3013713556 4354460138 4647196954 8708920276 9294393908 16265189339 32530378678 39501174109 65060757356 79002348218 158004696436 276508218763 553016437526 1106032875052