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1330022031120 = 2432511867155663
BaseRepresentation
bin10011010110101011011…
…111011001111100010000
311201011000112002122121200
4103112223133121330100
5133242341114443440
62455000443551200
7165043120506036
oct23265337317420
94634015078550
101330022031120
11473071843562
1219592582b500
1398560c042b3
14485328ca556
15248e4951c30
hex135ab7d9f10

1330022031120 has 120 divisors (see below), whose sum is σ = 4467062411136. Its totient is φ = 354640376064.

The previous prime is 1330022031109. The next prime is 1330022031133. The reversal of 1330022031120 is 211302200331.

1330022031120 is a `hidden beast` number, since 1 + 330 + 0 + 2 + 2 + 0 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1330022031093 and 1330022031102.

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, 8466409 + ... + 8622071.

Almost surely, 21330022031120 is an apocalyptic number.

1330022031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330022031120 is an abundant number, since it is smaller than the sum of its proper divisors (3137040380016).

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

1330022031120 is a wasteful number, since it uses less digits than its factorization.

1330022031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167549 (or 167540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1330022031120 its reverse (211302200331), we get a palindrome (1541324231451).

The spelling of 1330022031120 in words is "one trillion, three hundred thirty billion, twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 11867 23734 35601 47468 59335 71202 94936 106803 118670 142404 155663 178005 189872 213606 237340 284808 311326 356010 427212 466989 474680 534015 569616 622652 712020 778315 854424 933978 949360 1068030 1245304 1400967 1424040 1556630 1708848 1867956 2136060 2334945 2490608 2801934 2848080 3113260 3735912 4272120 4669890 5603868 6226520 7004835 7471824 8544240 9339780 11207736 12453040 14009670 18679560 22415472 28019340 37359120 56038680 112077360 1847252821 3694505642 5541758463 7389011284 9236264105 11083516926 14778022568 16625275389 18472528210 22167033852 27708792315 29556045136 33250550778 36945056420 44334067704 55417584630 66501101556 73890112840 83126376945 88668135408 110835169260 133002203112 147780225680 166252753890 221670338520 266004406224 332505507780 443340677040 665011015560 1330022031120