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11434103000 = 235368316741
BaseRepresentation
bin10101010011000011…
…01001000011011000
31002111212021121121022
422221201221003120
5141404112244000
65130332302012
7553230162155
oct125141510330
932455247538
1011434103000
114938286901
122271311908
131102b49628
147a67d122c
1546dc3c585
hex2a98690d8

11434103000 has 64 divisors (see below), whose sum is σ = 26796575520. Its totient is φ = 4566672000.

The previous prime is 11434102997. The next prime is 11434103003. The reversal of 11434103000 is 30143411.

It is an interprime number because it is at equal distance from previous prime (11434102997) and next prime (11434103003).

It is a super-2 number, since 2×114341030002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11434103000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434103003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674630 + ... + 691370.

Almost surely, 211434103000 is an apocalyptic number.

11434103000 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 11434103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398287760).

11434103000 is an abundant number, since it is smaller than the sum of its proper divisors (15362472520).

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

11434103000 is a wasteful number, since it uses less digits than its factorization.

11434103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17445 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11434103000 its reverse (30143411), we get a palindrome (11464246411).

The spelling of 11434103000 in words is "eleven billion, four hundred thirty-four million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 683 1000 1366 2732 3415 5464 6830 13660 16741 17075 27320 33482 34150 66964 68300 83705 85375 133928 136600 167410 170750 334820 341500 418525 669640 683000 837050 1674100 2092625 3348200 4185250 8370500 11434103 16741000 22868206 45736412 57170515 91472824 114341030 228682060 285852575 457364120 571705150 1143410300 1429262875 2286820600 2858525750 5717051500 11434103000