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1330522661000 = 235313791295543
BaseRepresentation
bin10011010111001001010…
…101001010000010001000
311201012022102010021201002
4103113021111022002020
5133244402300123000
62455122250114132
7165061410005261
oct23271125120210
94635272107632
101330522661000
114732a93a0165
12195a4541b948
1398610849cb0
144857d1a7968
15249238918d5
hex135c954a088

1330522661000 has 128 divisors (see below), whose sum is σ = 3395361715200. Its totient is φ = 485050924800.

The previous prime is 1330522660967. The next prime is 1330522661033. The reversal of 1330522661000 is 1662250331.

It is an interprime number because it is at equal distance from previous prime (1330522660967) and next prime (1330522661033).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379229 + ... + 1674771.

It is an arithmetic number, because the mean of its divisors is an integer number (26526263400).

Almost surely, 21330522661000 is an apocalyptic number.

1330522661000 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 1330522661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697680857600).

1330522661000 is an abundant number, since it is smaller than the sum of its proper divisors (2064839054200).

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

1330522661000 is a wasteful number, since it uses less digits than its factorization.

1330522661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295656 (or 1295642 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 1330522661000 in words is "one trillion, three hundred thirty billion, five hundred twenty-two million, six hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 79 100 104 125 130 158 200 250 260 316 325 395 500 520 632 650 790 1000 1027 1300 1580 1625 1975 2054 2600 3160 3250 3950 4108 5135 6500 7900 8216 9875 10270 13000 15800 19750 20540 25675 39500 41080 51350 79000 102700 128375 205400 256750 513500 1027000 1295543 2591086 5182172 6477715 10364344 12955430 16842059 25910860 32388575 33684118 51821720 64777150 67368236 84210295 102347897 129554300 134736472 161942875 168420590 204695794 259108600 323885750 336841180 409391588 421051475 511739485 647771500 673682360 818783176 842102950 1023478970 1295543000 1330522661 1684205900 2046957940 2105257375 2558697425 2661045322 3368411800 4093915880 4210514750 5117394850 5322090644 6652613305 8421029500 10234789700 10644181288 12793487125 13305226610 16842059000 20469579400 25586974250 26610453220 33263066525 51173948500 53220906440 66526133050 102347897000 133052266100 166315332625 266104532200 332630665250 665261330500 1330522661000