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129021981 = 31153711039
BaseRepresentation
bin1111011000010…
…11100000011101
322222202222212220
413230023200131
5231012200411
620445215553
73124445244
oct754134035
9288688786
10129021981
1166914140
12372615b9
132096558a
14131c795b
15b4d8b06
hex7b0b81d

129021981 has 32 divisors (see below), whose sum is σ = 194088960. Its totient is φ = 75566400.

The previous prime is 129021979. The next prime is 129022009. The reversal of 129021981 is 189120921.

It is not a de Polignac number, because 129021981 - 21 = 129021979 is a prime.

It is a super-3 number, since 3×1290219813 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129021901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123660 + ... + 124698.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2129021981 is an apocalyptic number.

129021981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

129021981 is a deficient number, since it is larger than the sum of its proper divisors (65066979).

129021981 is a wasteful number, since it uses less digits than its factorization.

129021981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177.

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 129021981 is about 11358.7843099515. The cubic root of 129021981 is about 505.3061320659.

The spelling of 129021981 in words is "one hundred twenty-nine million, twenty-one thousand, nine hundred eighty-one".

Divisors: 1 3 11 33 53 71 159 213 583 781 1039 1749 2343 3117 3763 11289 11429 34287 41393 55067 73769 124179 165201 221307 605737 811459 1817211 2434377 3909757 11729271 43007327 129021981