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1330322330100 = 2235241108156287
BaseRepresentation
bin10011010110111101011…
…000111101000111110100
311201011210110011102101010
4103112331120331013310
5133244000004030400
62455050332232220
7165053425142211
oct23267530750764
94634713142333
101330322330100
11473206301635
121959aa30b670
13985ab1a81ba
144856073ab08
1524910ebe450
hex135bd63d1f4

1330322330100 has 72 divisors (see below), whose sum is σ = 3942945635328. Its totient is φ = 346100115200.

The previous prime is 1330322330089. The next prime is 1330322330131. The reversal of 1330322330100 is 10332230331.

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, 54065844 + ... + 54090443.

It is an arithmetic number, because the mean of its divisors is an integer number (54763133824).

Almost surely, 21330322330100 is an apocalyptic number.

1330322330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330322330100 is an abundant number, since it is smaller than the sum of its proper divisors (2612623305228).

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

1330322330100 is a wasteful number, since it uses less digits than its factorization.

1330322330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108156345 (or 108156338 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1330322330100 its reverse (10332230331), we get a palindrome (1340654560431).

The spelling of 1330322330100 in words is "one trillion, three hundred thirty billion, three hundred twenty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 108156287 216312574 324468861 432625148 540781435 648937722 1081562870 1297875444 1622344305 2163125740 2703907175 3244688610 4434407767 5407814350 6489377220 8111721525 8868815534 10815628700 13303223301 16223443050 17737631068 22172038835 26606446602 32446886100 44344077670 53212893204 66516116505 88688155340 110860194175 133032233010 221720388350 266064466020 332580582525 443440776700 665161165050 1330322330100