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10322012000 = 255319713099
BaseRepresentation
bin10011001110011110…
…10110011101100000
3222122100200112112202
421213033112131200
5132114413341000
64424124312332
7513534440306
oct114717263540
928570615482
1010322012000
114417563433
1220009a26a8
13c86624411
146dcc26276
154062b8dd5
hex2673d6760

10322012000 has 96 divisors (see below), whose sum is σ = 25491866400. Its totient is φ = 4107532800.

The previous prime is 10322011969. The next prime is 10322012003. The reversal of 10322012000 is 21022301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781451 + ... + 794549.

It is an arithmetic number, because the mean of its divisors is an integer number (265540275).

Almost surely, 210322012000 is an apocalyptic number.

10322012000 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 10322012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745933200).

10322012000 is an abundant number, since it is smaller than the sum of its proper divisors (15169854400).

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

10322012000 is a wasteful number, since it uses less digits than its factorization.

10322012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10322012000 its reverse (21022301), we get a palindrome (10343034301).

The spelling of 10322012000 in words is "ten billion, three hundred twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 788 800 985 1000 1576 1970 2000 3152 3940 4000 4925 6304 7880 9850 13099 15760 19700 24625 26198 31520 39400 49250 52396 65495 78800 98500 104792 130990 157600 197000 209584 261980 327475 394000 419168 523960 654950 788000 1047920 1309900 1637375 2095840 2580503 2619800 3274750 5161006 5239600 6549500 10322012 10479200 12902515 13099000 20644024 25805030 26198000 41288048 51610060 52396000 64512575 82576096 103220120 129025150 206440240 258050300 322562875 412880480 516100600 645125750 1032201200 1290251500 2064402400 2580503000 5161006000 10322012000