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201001929100 = 225271915112927
BaseRepresentation
bin1011101100110010100…
…1100000100110001100
3201012211011120221211121
42323030221200212030
511243122443212400
6232201120530324
720344005131050
oct2731451404614
9635734527747
10201001929100
1178276392385
1232b571809a4
1315c53a8342b
149a2b1b1c60
1553663d721a
hex2ecca6098c

201001929100 has 72 divisors (see below), whose sum is σ = 524720860160. Its totient is φ = 65287840320.

The previous prime is 201001929097. The next prime is 201001929103. The reversal of 201001929100 is 1929100102.

It is an interprime number because it is at equal distance from previous prime (201001929097) and next prime (201001929103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201001929103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7543164 + ... + 7569763.

Almost surely, 2201001929100 is an apocalyptic number.

201001929100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001929100 is an abundant number, since it is smaller than the sum of its proper divisors (323718931060).

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

201001929100 is a wasteful number, since it uses less digits than its factorization.

201001929100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112967 (or 15112960 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 201001929100 in words is "two hundred one billion, one million, nine hundred twenty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 15112927 30225854 60451708 75564635 105790489 151129270 211580978 287145613 302258540 377823175 423161956 528952445 574291226 755646350 1057904890 1148582452 1435728065 1511292700 2010019291 2115809780 2644762225 2871456130 4020038582 5289524450 5742912260 7178640325 8040077164 10050096455 10579048900 14357280650 20100192910 28714561300 40200385820 50250482275 100500964550 201001929100