Search a number
-
+
11241296430 = 2357134117691
BaseRepresentation
bin10100111100000100…
…01001001000101110
31002000102111000201020
422132002021020232
5141010232441210
65055243555010
7545366304660
oct123602111056
932012430636
1011241296430
114849467431
12221882ba66
1310a1c105c0
14788d62530
1545bd54770
hex29e08922e

11241296430 has 64 divisors (see below), whose sum is σ = 33205068288. Its totient is φ = 2371789440.

The previous prime is 11241296411. The next prime is 11241296431. The reversal of 11241296430 is 3469214211.

It is a junction number, because it is equal to n+sod(n) for n = 11241296391 and 11241296400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241296431) 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, 2056116 + ... + 2061575.

It is an arithmetic number, because the mean of its divisors is an integer number (518829192).

Almost surely, 211241296430 is an apocalyptic number.

11241296430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11241296430 is an abundant number, since it is smaller than the sum of its proper divisors (21963771858).

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

11241296430 is a wasteful number, since it uses less digits than its factorization.

11241296430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117721.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11241296430 in words is "eleven billion, two hundred forty-one million, two hundred ninety-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4117691 8235382 12353073 20588455 24706146 28823837 41176910 53529983 57647674 61765365 86471511 107059966 123530730 144119185 160589949 172943022 267649915 288238370 321179898 374709881 432357555 535299830 749419762 802949745 864715110 1124129643 1605899490 1873549405 2248259286 3747098810 5620648215 11241296430