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32201312141130 = 235111671823320521
BaseRepresentation
bin1110101001001011100111…
…10001010111111101001010
311020000102012210211222012020
413110211303301113331022
513210041241402004010
6152253024550025310
76532316351016516
oct724456361277512
9136012183758166
1032201312141130
11a2955552430a0
1237409b6348236
1314c7755abba52
147d47a22bd146
153ac96b518470
hex1d4973c57f4a

32201312141130 has 128 divisors (see below), whose sum is σ = 84860522643456. Its totient is φ = 7755353203200.

The previous prime is 32201312141129. The next prime is 32201312141149. The reversal of 32201312141130 is 3114121310223.

It is a super-2 number, since 2×322013121411302 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32201312141130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100305270 + ... + 100625790.

It is an arithmetic number, because the mean of its divisors is an integer number (662972833152).

Almost surely, 232201312141130 is an apocalyptic number.

32201312141130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32201312141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42430261321728).

32201312141130 is an abundant number, since it is smaller than the sum of its proper divisors (52659210502326).

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

32201312141130 is a wasteful number, since it uses less digits than its factorization.

32201312141130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322532.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32201312141130 its reverse (3114121310223), we get a palindrome (35315433451353).

The spelling of 32201312141130 in words is "thirty-two trillion, two hundred one billion, three hundred twelve million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 167 330 334 501 835 1002 1670 1823 1837 2505 3646 3674 5010 5469 5511 9115 9185 10938 11022 18230 18370 20053 27345 27555 40106 54690 55110 60159 100265 120318 200530 300795 304441 320521 601590 608882 641042 913323 961563 1522205 1602605 1826646 1923126 3044410 3205210 3348851 3525731 4566615 4807815 6697702 7051462 9133230 9615630 10046553 10577193 16744255 17628655 20093106 21154386 33488510 35257310 50232765 52885965 53527007 100465530 105771930 107054014 160581021 267635035 321162042 535270070 584309783 588797077 802905105 1168619566 1177594154 1605810210 1752929349 1766391231 2921548915 2943985385 3505858698 3532782462 5843097830 5887970770 6427407613 8764646745 8831956155 12854815226 17529293490 17663912310 19282222839 32137038065 38564445678 64274076130 96411114195 97579733761 192822228390 195159467522 292739201283 487898668805 585478402566 975797337610 1073377071371 1463696006415 2146754142742 2927392012830 3220131214113 5366885356855 6440262428226 10733770713710 16100656070565 32201312141130