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129019000 = 23531137317
BaseRepresentation
bin1111011000010…
…10110001111000
322222202211210111
413230022301320
5231012102000
620445154104
73124433455
oct754126170
9288684714
10129019000
1166911980
123725b934
1320964106
14131c682c
15b4d7cba
hex7b0ac78

129019000 has 128 divisors (see below), whose sum is σ = 339318720. Its totient is φ = 45504000.

The previous prime is 129018979. The next prime is 129019003. The reversal of 129019000 is 910921.

It is a super-2 number, since 2×1290190002 = 33291804722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129019003) 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, 406842 + ... + 407158.

Almost surely, 2129019000 is an apocalyptic number.

129019000 is a gapful number since it is divisible by the number (10) 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 129019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169659360).

129019000 is an abundant number, since it is smaller than the sum of its proper divisors (210299720).

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

129019000 is a wasteful number, since it uses less digits than its factorization.

129019000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 129019000 is about 11358.6530891651. The cubic root of 129019000 is about 505.3022404055.

Adding to 129019000 its reverse (910921), we get a palindrome (129929921).

The spelling of 129019000 in words is "one hundred twenty-nine million, nineteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 317 370 407 440 500 550 634 740 814 925 1000 1100 1268 1375 1480 1585 1628 1850 2035 2200 2536 2750 3170 3256 3487 3700 4070 4625 5500 6340 6974 7400 7925 8140 9250 10175 11000 11729 12680 13948 15850 16280 17435 18500 20350 23458 27896 31700 34870 37000 39625 40700 46916 50875 58645 63400 69740 79250 81400 87175 93832 101750 117290 129019 139480 158500 174350 203500 234580 258038 293225 317000 348700 407000 435875 469160 516076 586450 645095 697400 871750 1032152 1172900 1290190 1466125 1743500 2345800 2580380 2932250 3225475 3487000 5160760 5864500 6450950 11729000 12901900 16127375 25803800 32254750 64509500 129019000