Search a number
-
+
11312004041130 = 2351357750268871
BaseRepresentation
bin1010010010011100011111…
…1110111000100110101010
31111001102021000022011210110
42210213013332320212222
52440313441013304010
640020355104555150
72245160001603312
oct244470776704652
944042230264713
1011312004041130
113671437417a61
121328413322ab6
136409431a0980
142b170aa68442
151493b7b36120
hexa49c7fb89aa

11312004041130 has 64 divisors (see below), whose sum is σ = 29287851280128. Its totient is φ = 2779667435520.

The previous prime is 11312004041081. The next prime is 11312004041161. The reversal of 11312004041130 is 3114040021311.

It is a super-2 number, since 2×113120040411302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11312004041097 and 11312004041106.

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, 24909406 + ... + 25359465.

It is an arithmetic number, because the mean of its divisors is an integer number (457622676252).

Almost surely, 211312004041130 is an apocalyptic number.

11312004041130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11312004041130 is an abundant number, since it is smaller than the sum of its proper divisors (17975847238998).

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

11312004041130 is a wasteful number, since it uses less digits than its factorization.

11312004041130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50269471.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11312004041130 its reverse (3114040021311), we get a palindrome (14426044062441).

The spelling of 11312004041130 in words is "eleven trillion, three hundred twelve billion, four million, forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 577 1154 1731 2885 3462 5770 7501 8655 15002 17310 22503 37505 45006 75010 112515 225030 50268871 100537742 150806613 251344355 301613226 502688710 653495323 754033065 1306990646 1508066130 1960485969 3267476615 3920971938 6534953230 9802429845 19604859690 29005138567 58010277134 87015415701 145025692835 174030831402 290051385670 377066801371 435077078505 754133602742 870154157010 1131200404113 1885334006855 2262400808226 3770668013710 5656002020565 11312004041130