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1334212202300 = 2252312371181523
BaseRepresentation
bin10011011010100101001…
…111101000111100111100
311201112211112122101212212
4103122211033220330330
5133324431310433200
62500532325515552
7165252010412405
oct23324517507474
94645745571785
101334212202300
1147492200714a
121966b4b72bb8
1398a7b04b323
144880d1c49ac
1524a8c73e035
hex136a53e8f3c

1334212202300 has 72 divisors (see below), whose sum is σ = 2989912300032. Its totient is φ = 516248568000.

The previous prime is 1334212202273. The next prime is 1334212202311. The reversal of 1334212202300 is 32022124331.

It is a super-2 number, since 2×13342122023002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7259339 + ... + 7440861.

Almost surely, 21334212202300 is an apocalyptic number.

1334212202300 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 1334212202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494956150016).

1334212202300 is an abundant number, since it is smaller than the sum of its proper divisors (1655700097732).

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

1334212202300 is a wasteful number, since it uses less digits than its factorization.

1334212202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183939 (or 183932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1334212202300 its reverse (32022124331), we get a palindrome (1366234326631).

The spelling of 1334212202300 in words is "one trillion, three hundred thirty-four billion, two hundred twelve million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 2371 3100 4742 9484 11855 23710 47420 59275 73501 118550 147002 181523 237100 294004 363046 367505 726092 735010 907615 1470020 1815230 1837525 3630460 3675050 4538075 5627213 7350100 9076150 11254426 18152300 22508852 28136065 56272130 112544260 140680325 281360650 430391033 562721300 860782066 1721564132 2151955165 4303910330 8607820660 10759775825 13342122023 21519551650 26684244046 43039103300 53368488092 66710610115 133421220230 266842440460 333553050575 667106101150 1334212202300