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1331330022200 = 2352291274318013
BaseRepresentation
bin10011010111111001011…
…100111111101100111000
311201021101200022111001202
4103113321130333230320
5133303030441202300
62455334330433332
7165120412321103
oct23277134775470
94637350274052
101331330022200
114736830a9622
1219602b892848
139870bba9609
14486184cb73a
152496e6bead5
hex135f973fb38

1331330022200 has 96 divisors (see below), whose sum is σ = 3202507303200. Its totient is φ = 514099944960.

The previous prime is 1331330022181. The next prime is 1331330022227. The reversal of 1331330022200 is 22200331331.

It is a super-2 number, since 2×13313300222002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73900394 + ... + 73918406.

It is an arithmetic number, because the mean of its divisors is an integer number (33359451075).

Almost surely, 21331330022200 is an apocalyptic number.

1331330022200 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 1331330022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601253651600).

1331330022200 is an abundant number, since it is smaller than the sum of its proper divisors (1871177281000).

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

1331330022200 is a wasteful number, since it uses less digits than its factorization.

1331330022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30801 (or 30792 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1331330022200 its reverse (22200331331), we get a palindrome (1353530353531).

The spelling of 1331330022200 in words is "one trillion, three hundred thirty-one billion, three hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 12743 18013 25486 36026 50972 63715 72052 90065 101944 127430 144104 180130 254860 318575 360260 369547 450325 509720 522377 637150 720520 739094 900650 1044754 1274300 1478188 1801300 1847735 2089508 2548600 2611885 2956376 3602600 3695470 4179016 5223770 7390940 9238675 10447540 13059425 14781880 18477350 20895080 26118850 36954700 52237700 73909400 104475400 229539659 459079318 918158636 1147698295 1836317272 2295396590 4590793180 5738491475 6656650111 9181586360 11476982950 13313300222 22953965900 26626600444 33283250555 45907931800 53253200888 66566501110 133133002220 166416252775 266266004440 332832505550 665665011100 1331330022200