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2201131000 = 235319115849
BaseRepresentation
bin1000001100110010…
…1001011111111000
312200101211001002101
42003030221133320
514001442143000
61002225513144
7105355206355
oct20314513770
95611731071
102201131000
11a2a532332
125151a27b4
132910393a3
1416c49362c
15cd391e6a
hex833297f8

2201131000 has 64 divisors (see below), whose sum is σ = 5421780000. Its totient is φ = 834105600.

The previous prime is 2201130991. The next prime is 2201131003. The reversal of 2201131000 is 1311022.

2201131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22011310002 = 9689955358322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201131003) 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, 38925 + ... + 76924.

Almost surely, 22201131000 is an apocalyptic number.

2201131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201131000 is an abundant number, since it is smaller than the sum of its proper divisors (3220649000).

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

2201131000 is a wasteful number, since it uses less digits than its factorization.

2201131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115889 (or 115875 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2201131000 is about 46916.2125496081. The cubic root of 2201131000 is about 1300.8142827495.

Adding to 2201131000 its reverse (1311022), we get a palindrome (2202442022).

The spelling of 2201131000 in words is "two billion, two hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 115849 231698 463396 579245 926792 1158490 2201131 2316980 2896225 4402262 4633960 5792450 8804524 11005655 11584900 14481125 17609048 22011310 23169800 28962250 44022620 55028275 57924500 88045240 110056550 115849000 220113100 275141375 440226200 550282750 1100565500 2201131000