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1001132132200 = 235225229198409
BaseRepresentation
bin11101001000110000010…
…00000000011101101000
310112201002121201200220021
432210120020000131220
5112400304311212300
62043525212010224
7132220662501004
oct16443010003550
93481077650807
101001132132200
11356639a97642
12142039160974
13735389b9b55
143665294b704
151b095d47d1a
hexe918200768

1001132132200 has 48 divisors (see below), whose sum is σ = 2327736199500. Its totient is φ = 400434961920.

The previous prime is 1001132132177. The next prime is 1001132132237. The reversal of 1001132132200 is 22312311001.

It can be written as a sum of positive squares in 6 ways, for example, as 32651767204 + 968480364996 = 180698^2 + 984114^2 .

It is a super-2 number, since 2×10011321322002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4946596 + ... + 5145004.

Almost surely, 21001132132200 is an apocalyptic number.

1001132132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132132200 is an abundant number, since it is smaller than the sum of its proper divisors (1326604067300).

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

1001132132200 is a wasteful number, since it uses less digits than its factorization.

1001132132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223654 (or 223645 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001132132200 its reverse (22312311001), we get a palindrome (1023444443201).

The spelling of 1001132132200 in words is "one trillion, one billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 25229 50458 100916 126145 198409 201832 252290 396818 504580 630725 793636 992045 1009160 1261450 1587272 1984090 2522900 3968180 4960225 5045800 7936360 9920450 19840900 39681800 5005660661 10011321322 20022642644 25028303305 40045285288 50056606610 100113213220 125141516525 200226426440 250283033050 500566066100 1001132132200