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11000213430 = 2356722724109
BaseRepresentation
bin10100011111010100…
…11110111110110110
31001101121211202000020
422033222132332312
5140012023312210
65015312430010
7536411162043
oct121752367666
931347752006
1011000213430
114735374188
12216bb48306
131063ca083b
14764d281ca
15445ad2770
hex28fa9efb6

11000213430 has 64 divisors (see below), whose sum is σ = 26913703680. Its totient is φ = 2876759424.

The previous prime is 11000213429. The next prime is 11000213453. The reversal of 11000213430 is 3431200011.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444216 + ... + 468324.

It is an arithmetic number, because the mean of its divisors is an integer number (420526620).

Almost surely, 211000213430 is an apocalyptic number.

11000213430 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 11000213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456851840).

11000213430 is an abundant number, since it is smaller than the sum of its proper divisors (15913490250).

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

11000213430 is a wasteful number, since it uses less digits than its factorization.

11000213430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24413.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11000213430 its reverse (3431200011), we get a palindrome (14431413441).

The spelling of 11000213430 in words is "eleven billion, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 227 335 402 454 670 681 1005 1135 1362 2010 2270 3405 6810 15209 24109 30418 45627 48218 72327 76045 91254 120545 144654 152090 228135 241090 361635 456270 723270 1615303 3230606 4845909 5472743 8076515 9691818 10945486 16153030 16418229 24229545 27363715 32836458 48459090 54727430 82091145 164182290 366673781 733347562 1100021343 1833368905 2200042686 3666737810 5500106715 11000213430