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11000232200 = 2352317012531
BaseRepresentation
bin10100011111010101…
…00011100100001000
31001101121212200202102
422033222203210020
5140012024412300
65015313052532
7536411300546
oct121752434410
931347780672
1011000232200
1147353872a1
12216bb57148
131063ca9249
14764d30d96
15445ad80d5
hex28faa3908

11000232200 has 96 divisors (see below), whose sum is σ = 26448664320. Its totient is φ = 4250400000.

The previous prime is 11000232151. The next prime is 11000232233. The reversal of 11000232200 is 223200011.

It is a happy number.

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, 4344935 + ... + 4347465.

It is an arithmetic number, because the mean of its divisors is an integer number (275506920).

Almost surely, 211000232200 is an apocalyptic number.

11000232200 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 11000232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224332160).

11000232200 is an abundant number, since it is smaller than the sum of its proper divisors (15448432120).

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

11000232200 is a wasteful number, since it uses less digits than its factorization.

11000232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11000232200 its reverse (223200011), we get a palindrome (11223432211).

The spelling of 11000232200 in words is "eleven billion, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 701 775 1240 1402 1550 2531 2804 3100 3505 5062 5608 6200 7010 10124 12655 14020 17525 20248 21731 25310 28040 35050 43462 50620 63275 70100 78461 86924 101240 108655 126550 140200 156922 173848 217310 253100 313844 392305 434620 506200 543275 627688 784610 869240 1086550 1569220 1774231 1961525 2173100 3138440 3548462 3923050 4346200 7096924 7846100 8871155 14193848 15692200 17742310 35484620 44355775 55001161 70969240 88711550 110002322 177423100 220004644 275005805 354846200 440009288 550011610 1100023220 1375029025 2200046440 2750058050 5500116100 11000232200