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11106671070 = 2351126745667
BaseRepresentation
bin10100101100000001…
…00101100111011110
31001200001011100102210
422112000211213132
5140221301433240
65034034301250
7542143101135
oct122600454736
931601140383
1011106671070
11478a476400
12219b727826
131080065721
1477511a91c
15450110780
hex2960259de

11106671070 has 96 divisors (see below), whose sum is σ = 29737540224. Its totient is φ = 2652281280.

The previous prime is 11106671039. The next prime is 11106671099. The reversal of 11106671070 is 7017660111.

11106671070 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220377 + ... + 266043.

It is an arithmetic number, because the mean of its divisors is an integer number (309766044).

Almost surely, 211106671070 is an apocalyptic number.

11106671070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106671070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868770112).

11106671070 is an abundant number, since it is smaller than the sum of its proper divisors (18630869154).

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

11106671070 is a wasteful number, since it uses less digits than its factorization.

11106671070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45766 (or 45755 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 11106671070 in words is "eleven billion, one hundred six million, six hundred seventy-one thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 121 134 165 201 242 330 335 363 402 605 670 726 737 1005 1210 1474 1815 2010 2211 3630 3685 4422 7370 8107 11055 16214 22110 24321 40535 45667 48642 81070 91334 121605 137001 228335 243210 274002 456670 502337 685005 1004674 1370010 1507011 2511685 3014022 3059689 5023370 5525707 6119378 7535055 9179067 11051414 15070110 15298445 16577121 18358134 27628535 30596890 33154242 33656579 45895335 55257070 67313158 82885605 91790670 100969737 165771210 168282895 201939474 336565790 370222369 504848685 740444738 1009697370 1110667107 1851111845 2221334214 3702223690 5553335535 11106671070