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1109340835152 = 2431123174752289
BaseRepresentation
bin10000001001001001110…
…111011100110101010000
310221001101212111100200020
4100021021313130311100
5121133412223211102
62205342452023440
7143101333342044
oct20111167346520
93831355440606
101109340835152
11398517a87770
1215abb8001b80
13807c2053074
143b999c82024
151dccaa55bbc
hex10249ddcd50

1109340835152 has 160 divisors (see below), whose sum is σ = 3264181079040. Its totient is φ = 321357864960.

The previous prime is 1109340835123. The next prime is 1109340835157. The reversal of 1109340835152 is 2515380439011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109340835157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21189424 + ... + 21241712.

It is an arithmetic number, because the mean of its divisors is an integer number (20401131744).

Almost surely, 21109340835152 is an apocalyptic number.

1109340835152 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 1109340835152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632090539520).

1109340835152 is an abundant number, since it is smaller than the sum of its proper divisors (2154840243888).

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

1109340835152 is a wasteful number, since it uses less digits than its factorization.

1109340835152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54081 (or 54075 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1109340835152 in words is "one trillion, one hundred nine billion, three hundred forty million, eight hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 1747 2024 3036 3494 4048 5241 6072 6988 10482 12144 13976 19217 20964 27952 38434 40181 41928 52289 57651 76868 80362 83856 104578 115302 120543 153736 156867 160724 209156 230604 241086 307472 313734 321448 418312 441991 461208 482172 575179 627468 642896 836624 883982 922416 964344 1150358 1202647 1254936 1325973 1725537 1767964 1928688 2300716 2405294 2509872 2651946 3451074 3535928 3607941 4601432 4810588 5303892 6902148 7071856 7215882 9202864 9621176 10607784 13229117 13804296 14431764 19242352 21215568 26458234 27608592 28863528 39687351 52916468 57727056 79374702 91348883 105832936 158749404 182697766 211665872 274046649 317498808 365395532 548093298 634997616 730791064 1004837713 1096186596 1461582128 2009675426 2101024309 2192373192 3014513139 4019350852 4202048618 4384746384 6029026278 6303072927 8038701704 8404097236 12058052556 12606145854 16077403408 16808194472 23111267399 24116105112 25212291708 33616388944 46222534798 48232210224 50424583416 69333802197 92445069596 100849166832 138667604394 184890139192 277335208788 369780278384 554670417576 1109340835152