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1100141340 = 2235672111297
BaseRepresentation
bin100000110010010…
…1101001100011100
32211200002222012120
41001210231030130
54223114010330
6301055502540
736156022104
oct10144551434
92750088176
101100141340
11515001521
12268527a50
13146c0010c
14a6178204
15668b2c10
hex4192d31c

1100141340 has 96 divisors (see below), whose sum is σ = 3143610624. Its totient is φ = 287400960.

The previous prime is 1100141323. The next prime is 1100141411. The reversal of 1100141340 is 431410011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847572 + ... + 848868.

It is an arithmetic number, because the mean of its divisors is an integer number (32745944).

Almost surely, 21100141340 is an apocalyptic number.

1100141340 is a gapful number since it is divisible by the number (10) 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 1100141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571805312).

1100141340 is an abundant number, since it is smaller than the sum of its proper divisors (2043469284).

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

1100141340 is a wasteful number, since it uses less digits than its factorization.

1100141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100141340 is about 33168.3786157840. The cubic root of 1100141340 is about 1032.3243264330.

Adding to 1100141340 its reverse (431410011), we get a palindrome (1531551351).

The spelling of 1100141340 in words is "one billion, one hundred million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 211 268 335 402 422 633 670 804 844 1005 1055 1266 1297 1340 2010 2110 2532 2594 3165 3891 4020 4220 5188 6330 6485 7782 12660 12970 14137 15564 19455 25940 28274 38910 42411 56548 70685 77820 84822 86899 141370 169644 173798 212055 260697 273667 282740 347596 424110 434495 521394 547334 821001 848220 868990 1042788 1094668 1303485 1368335 1642002 1737980 2606970 2736670 3284004 4105005 5213940 5473340 8210010 16420020 18335689 36671378 55007067 73342756 91678445 110014134 183356890 220028268 275035335 366713780 550070670 1100141340