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203132210000 = 2454101201121
BaseRepresentation
bin1011110100101110011…
…1111000101101010000
3201102022122002102212012
42331023213320231100
511312003321210000
6233152340122052
720450543203406
oct2751347705520
9642278072765
10203132210000
1179169922a05
1233450696328
1316203214085
149b900a1476
15543d431735
hex2f4b9f8b50

203132210000 has 100 divisors (see below), whose sum is σ = 496675203684. Its totient is φ = 80448000000.

The previous prime is 203132209901. The next prime is 203132210003. The reversal of 203132210000 is 12231302.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 68537145616 + 134595064384 = 261796^2 + 366872^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 909440 + ... + 1110560.

Almost surely, 2203132210000 is an apocalyptic number.

203132210000 is a gapful number since it is divisible by the number (20) 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 203132210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248337601842).

203132210000 is an abundant number, since it is smaller than the sum of its proper divisors (293542993684).

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

203132210000 is a wasteful number, since it uses less digits than its factorization.

203132210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201250 (or 201229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 203132210000 its reverse (12231302), we get a palindrome (203144441302).

The spelling of 203132210000 in words is "two hundred three billion, one hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 201121 202000 252500 402242 505000 804484 1005605 1010000 1608968 2011210 3217936 4022420 5028025 8044840 10056050 16089680 20112100 20313221 25140125 40224200 40626442 50280250 80448400 81252884 100560500 101566105 125700625 162505768 201121000 203132210 251401250 325011536 402242000 406264420 502802500 507830525 812528840 1005605000 1015661050 1625057680 2011210000 2031322100 2539152625 4062644200 5078305250 8125288400 10156610500 12695763125 20313221000 25391526250 40626442000 50783052500 101566105000 203132210000