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201120100040 = 23517295764853
BaseRepresentation
bin1011101101001110110…
…0010010111011001000
3201020010101221122220002
42323103230102323020
511243343221200130
6232220541422132
720346641433536
oct2732354227310
9636111848802
10201120100040
1178327064a12
1232b8a86a948
1315c723b9972
149a3cb73156
15537197ab45
hex2ed3b12ec8

201120100040 has 32 divisors (see below), whose sum is σ = 479139063480. Its totient is φ = 75715802112.

The previous prime is 201120100039. The next prime is 201120100121. The reversal of 201120100040 is 40001021102.

It can be written as a sum of positive squares in 4 ways, for example, as 136053273316 + 65066826724 = 368854^2 + 255082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201120099994 and 201120100030.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147881747 + ... + 147883106.

Almost surely, 2201120100040 is an apocalyptic number.

201120100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120100040 is an abundant number, since it is smaller than the sum of its proper divisors (278018963440).

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

201120100040 is a wasteful number, since it uses less digits than its factorization.

201120100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295764881 (or 295764877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201120100040 its reverse (40001021102), we get a palindrome (241121121142).

The spelling of 201120100040 in words is "two hundred one billion, one hundred twenty million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 295764853 591529706 1183059412 1478824265 2366118824 2957648530 5028002501 5915297060 10056005002 11830594120 20112010004 25140012505 40224020008 50280025010 100560050020 201120100040