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1320132001020 = 223579931316501
BaseRepresentation
bin10011001101011101111…
…111111011110011111100
311200012111021021001211120
4103031131333323303330
5133112112243013040
62450243230150540
7164243046602040
oct23153577736374
94605437231746
101320132001020
1146995710a568
12193a25652450
1397645c3b591
1447c751d2020
15245165677d0
hex1335dffbcfc

1320132001020 has 96 divisors (see below), whose sum is σ = 4224861129216. Its totient is φ = 301713120000.

The previous prime is 1320132001009. The next prime is 1320132001037. The reversal of 1320132001020 is 201002310231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4012770 + ... + 4329270.

It is an arithmetic number, because the mean of its divisors is an integer number (44008970096).

Almost surely, 21320132001020 is an apocalyptic number.

1320132001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320132001020 is an abundant number, since it is smaller than the sum of its proper divisors (2904729128196).

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

1320132001020 is a wasteful number, since it uses less digits than its factorization.

1320132001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326451 (or 326449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1320132001020 its reverse (201002310231), we get a palindrome (1521134311251).

The spelling of 1320132001020 in words is "one trillion, three hundred twenty billion, one hundred thirty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 9931 19862 29793 39724 49655 59586 69517 99310 119172 139034 148965 198620 208551 278068 297930 316501 347585 417102 595860 633002 695170 834204 949503 1042755 1266004 1390340 1582505 1899006 2085510 2215507 3165010 3798012 4171020 4431014 4747515 6330020 6646521 8862028 9495030 11077535 13293042 18990060 22155070 26586084 33232605 44310140 66465210 132930420 3143171431 6286342862 9429514293 12572685724 15715857155 18859028586 22002200017 31431714310 37718057172 44004400034 47147571465 62863428620 66006600051 88008800068 94295142930 110011000085 132013200102 188590285860 220022000170 264026400204 330033000255 440044000340 660066000510 1320132001020