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10321401000 = 233535958313
BaseRepresentation
bin10011001110011010…
…00001010010101000
3222122022112111102010
421213031001102220
5132114234313000
64424103235520
7513526314051
oct114715012250
928568474363
1010321401000
114417186379
122000748ba0
13c8646c291
146dcb07728
154061e7d50
hex2673414a8

10321401000 has 128 divisors (see below), whose sum is σ = 32749142400. Its totient is φ = 2705676800.

The previous prime is 10321400981. The next prime is 10321401001. The reversal of 10321401000 is 10412301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10321401001) 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, 147844 + ... + 206156.

It is an arithmetic number, because the mean of its divisors is an integer number (255852675).

Almost surely, 210321401000 is an apocalyptic number.

10321401000 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 10321401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374571200).

10321401000 is an abundant number, since it is smaller than the sum of its proper divisors (22427741400).

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

10321401000 is a wasteful number, since it uses less digits than its factorization.

10321401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58396 (or 58382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10321401000 its reverse (10412301), we get a palindrome (10331813301).

The spelling of 10321401000 in words is "ten billion, three hundred twenty-one million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 29500 35400 44250 58313 59000 88500 116626 174939 177000 233252 291565 349878 466504 583130 699756 874695 1166260 1399512 1457825 1749390 2332520 2915650 3440467 3498780 4373475 5831300 6880934 6997560 7289125 8746950 10321401 11662600 13761868 14578250 17202335 17493900 20642802 21867375 27523736 29156500 34404670 34987800 41285604 43734750 51607005 58313000 68809340 82571208 86011675 87469500 103214010 137618680 172023350 174939000 206428020 258035025 344046700 412856040 430058375 516070050 688093400 860116750 1032140100 1290175125 1720233500 2064280200 2580350250 3440467000 5160700500 10321401000