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1000021023300 = 22352131867137341
BaseRepresentation
bin11101000110101011110…
…01011101101001000100
310112121020011222112000210
432203111321131221010
5112341020340221200
62043223041035420
7132151311306315
oct16432571355104
93477204875023
101000021023300
11356119885022
12141989025b70
13733bc749970
143658915a60c
151b02d51a650
hexe8d5e5da44

1000021023300 has 144 divisors (see below), whose sum is σ = 3117654610112. Its totient is φ = 246025382400.

The previous prime is 1000021023257. The next prime is 1000021023301. The reversal of 1000021023300 is 33201200001.

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 (1000021023301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7212630 + ... + 7349970.

Almost surely, 21000021023300 is an apocalyptic number.

1000021023300 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 1000021023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558827305056).

1000021023300 is an abundant number, since it is smaller than the sum of its proper divisors (2117633586812).

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

1000021023300 is a wasteful number, since it uses less digits than its factorization.

1000021023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139238 (or 139231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1000021023300 its reverse (33201200001), we get a palindrome (1033222223301).

The spelling of 1000021023300 in words is "one trillion, twenty-one million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1867 1950 3734 3900 5601 7468 9335 11202 18670 22404 24271 28005 37340 46675 48542 56010 72813 93350 97084 112020 121355 137341 140025 145626 186700 242710 274682 280050 291252 364065 412023 485420 549364 560100 606775 686705 728130 824046 1213550 1373410 1456260 1648092 1785433 1820325 2060115 2427100 2746820 3433525 3570866 3640650 4120230 5356299 6867050 7141732 7281300 8240460 8927165 10300575 10712598 13734100 17854330 20601150 21425196 26781495 35708660 41202300 44635825 53562990 89271650 107125980 133907475 178543300 256415647 267814950 512831294 535629900 769246941 1025662588 1282078235 1538493882 2564156470 3076987764 3333403411 3846234705 5128312940 6410391175 6666806822 7692469410 10000210233 12820782350 13333613644 15384938820 16667017055 19231173525 20000420466 25641564700 33334034110 38462347050 40000840932 50001051165 66668068220 76924694100 83335085275 100002102330 166670170550 200004204660 250005255825 333340341100 500010511650 1000021023300