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1342205030020 = 2251783446310657
BaseRepresentation
bin10011100010000001101…
…001110110111010000100
311202022110120120010021011
4103202001221312322010
5133442313441430040
62504333411532004
7165654043341211
oct23420151667204
94668416503234
101342205030020
11478253825998
121981658ba004
1399752c4c99a
1448d6a942b08
1524da92be3ea
hex13881a76e84

1342205030020 has 96 divisors (see below), whose sum is σ = 3021349621248. Its totient is φ = 499054067712.

The previous prime is 1342205029939. The next prime is 1342205030029. The reversal of 1342205030020 is 200305022431.

It is a super-2 number, since 2×13422050300202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1342205029973 and 1342205030000.

It is not an unprimeable number, because it can be changed into a prime (1342205030029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125940532 + ... + 125951188.

It is an arithmetic number, because the mean of its divisors is an integer number (31472391888).

Almost surely, 21342205030020 is an apocalyptic number.

1342205030020 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 1342205030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510674810624).

1342205030020 is an abundant number, since it is smaller than the sum of its proper divisors (1679144591228).

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

1342205030020 is a wasteful number, since it uses less digits than its factorization.

1342205030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 1342205030020 in words is "one trillion, three hundred forty-two billion, two hundred five million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 4463 5644 7055 8926 10657 14110 17852 21314 22315 28220 42628 44630 53285 75871 89260 106570 151742 181169 213140 303484 362338 370429 379355 724676 740858 758710 884531 905845 1481716 1517420 1769062 1811690 1852145 3538124 3623380 3704290 4422655 6297293 7408580 8845310 12594586 15037027 17690620 25189172 30074054 31486465 47562191 60148108 62972930 75185135 95124382 125945860 150370270 190248764 237810955 300740540 475621910 808557247 951243820 1617114494 3234228988 3947661853 4042786235 7895323706 8085572470 15790647412 16171144940 19738309265 39476618530 67110251501 78953237060 134220503002 268441006004 335551257505 671102515010 1342205030020