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1102011320112 = 2435910713212753
BaseRepresentation
bin10000000010010100111…
…111100100011100110000
310220100111001201102020020
4100002110333210130300
5121023404344220422
62202131303043440
7142421603444403
oct20022477443460
93810431642206
101102011320112
113953a672a61a
121596b1440580
137cbc46b7011
143b4a266bd3a
151d9ec34c95c
hex10094fe4730

1102011320112 has 160 divisors (see below), whose sum is σ = 2925445973760. Its totient is φ = 357335531520.

The previous prime is 1102011320089. The next prime is 1102011320141. The reversal of 1102011320112 is 2110231102011.

It is a junction number, because it is equal to n+sod(n) for n = 1102011320091 and 1102011320100.

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 31 ways as a sum of consecutive naturals, for example, 400293328 + ... + 400296080.

It is an arithmetic number, because the mean of its divisors is an integer number (18284037336).

Almost surely, 21102011320112 is an apocalyptic number.

1102011320112 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 1102011320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462722986880).

1102011320112 is an abundant number, since it is smaller than the sum of its proper divisors (1823434653648).

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

1102011320112 is a wasteful number, since it uses less digits than its factorization.

1102011320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1102011320112 its reverse (2110231102011), we get a palindrome (3212242422123).

The spelling of 1102011320112 in words is "one trillion, one hundred two billion, eleven million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 107 118 177 214 236 321 354 428 472 642 708 856 944 1284 1321 1416 1712 2568 2642 2753 2832 3963 5136 5284 5506 6313 7926 8259 10568 11012 12626 15852 16518 18939 21136 22024 25252 31704 33036 37878 44048 50504 63408 66072 75756 77939 101008 132144 141347 151512 155878 162427 233817 282694 294571 303024 311756 324854 424041 467634 487281 565388 589142 623512 649708 848082 883713 935268 974562 1130776 1178284 1247024 1299416 1696164 1767426 1870536 1949124 2261552 2356568 2598832 3392328 3534852 3636713 3741072 3898248 4713136 6784656 7069704 7273426 7796496 8339473 10910139 14139408 14546852 16678946 17379689 21820278 25018419 29093704 33357892 34759378 43640556 50036838 52139067 58187408 66715784 69518756 87281112 100073676 104278134 133431568 139037512 174562224 200147352 208556268 214566067 278075024 389128291 400294704 417112536 429132134 643698201 778256582 834225072 858264268 1167384873 1287396402 1556513164 1716528536 2334769746 2574792804 3113026328 3433057072 4669539492 5149585608 6226052656 9339078984 10299171216 18678157968 22958569169 45917138338 68875707507 91834276676 137751415014 183668553352 275502830028 367337106704 551005660056 1102011320112