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11214504300 = 22352251148931
BaseRepresentation
bin10100111000110111…
…11100000101101100
31001221120001211211010
422130123330011230
5140431403114200
65052445425220
7544622466546
oct123433740554
931846054733
1011214504300
11483532807a
12220b86b210
1310994bc77c
1478558a696
15459811150
hex29c6fc16c

11214504300 has 72 divisors (see below), whose sum is σ = 32576789952. Its totient is φ = 2978600000.

The previous prime is 11214504299. The next prime is 11214504319. The reversal of 11214504300 is 340541211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835 + ... + 149765.

It is an arithmetic number, because the mean of its divisors is an integer number (452455416).

Almost surely, 211214504300 is an apocalyptic number.

11214504300 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 11214504300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288394976).

11214504300 is an abundant number, since it is smaller than the sum of its proper divisors (21362285652).

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

11214504300 is a wasteful number, since it uses less digits than its factorization.

11214504300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149199 (or 149192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

It can be divided in two parts, 1121450 and 4300, that added together give a triangular number (1125750 = T1500).

The spelling of 11214504300 in words is "eleven billion, two hundred fourteen million, five hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 251 300 502 753 1004 1255 1506 2510 3012 3765 5020 6275 7530 12550 15060 18825 25100 37650 75300 148931 297862 446793 595724 744655 893586 1489310 1787172 2233965 2978620 3723275 4467930 7446550 8935860 11169825 14893100 22339650 37381681 44679300 74763362 112145043 149526724 186908405 224290086 373816810 448580172 560725215 747633620 934542025 1121450430 1869084050 2242900860 2803626075 3738168100 5607252150 11214504300