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1010000332300 = 2252591272113457
BaseRepresentation
bin11101011001010001011…
…01100000011000001100
310120112222122210221102211
432230220231200120030
5113021440041113200
62051553204200204
7132653515113541
oct16545055403014
93515878727384
101010000332300
1135a37a947633
121438b3099064
137432007132b
1436c54654bc8
151b41468caba
hexeb28b6060c

1010000332300 has 72 divisors (see below), whose sum is σ = 2229189041520. Its totient is φ = 397091942400.

The previous prime is 1010000332283. The next prime is 1010000332333. The reversal of 1010000332300 is 32330000101.

It is a super-2 number, since 2×10100003323002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75047172 + ... + 75060628.

It is an arithmetic number, because the mean of its divisors is an integer number (30960958910).

Almost surely, 21010000332300 is an apocalyptic number.

1010000332300 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 1010000332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114594520760).

1010000332300 is an abundant number, since it is smaller than the sum of its proper divisors (1219188709220).

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

1010000332300 is a wasteful number, since it uses less digits than its factorization.

1010000332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26251 (or 26244 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1010000332300 its reverse (32330000101), we get a palindrome (1042330332401).

The spelling of 1010000332300 in words is "one trillion, ten billion, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 12721 13457 25442 26914 50884 53828 63605 67285 127210 134570 254420 269140 318025 336425 636050 672850 750539 793963 1272100 1345700 1501078 1587926 3002156 3175852 3752695 3969815 7505390 7939630 15010780 15879260 18763475 19849075 37526950 39698150 75053900 79396300 171186497 342372994 684745988 855932485 1711864970 3423729940 4279662425 8559324850 10100003323 17118649700 20200006646 40400013292 50500016615 101000033230 202000066460 252500083075 505000166150 1010000332300