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11211001000 = 235344325307
BaseRepresentation
bin10100111000011101…
…00100110010101000
31001221022110212012021
422130032210302220
5140430004013000
65052242354224
7544550636053
oct123416446250
931838425167
1011211001000
114833354a91
12220a65b974
131098864004
14784d17a9a
1545936d11a
hex29c3a4ca8

11211001000 has 64 divisors (see below), whose sum is σ = 26293999680. Its totient is φ = 4474100800.

The previous prime is 11211000973. The next prime is 11211001003. The reversal of 11211001000 is 10011211.

It is not an unprimeable number, because it can be changed into a prime (11211001003) 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, 430347 + ... + 455653.

It is an arithmetic number, because the mean of its divisors is an integer number (410843745).

Almost surely, 211211001000 is an apocalyptic number.

11211001000 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 11211001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146999840).

11211001000 is an abundant number, since it is smaller than the sum of its proper divisors (15082998680).

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

11211001000 is a wasteful number, since it uses less digits than its factorization.

11211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25771 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11211001000 its reverse (10011211), we get a palindrome (11221012211).

The spelling of 11211001000 in words is "eleven billion, two hundred eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 443 500 886 1000 1772 2215 3544 4430 8860 11075 17720 22150 25307 44300 50614 55375 88600 101228 110750 126535 202456 221500 253070 443000 506140 632675 1012280 1265350 2530700 3163375 5061400 6326750 11211001 12653500 22422002 25307000 44844004 56055005 89688008 112110010 224220020 280275025 448440040 560550050 1121100100 1401375125 2242200200 2802750250 5605500500 11211001000