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110032201330020 = 223251511661961121
BaseRepresentation
bin11001000001001011011110…
…010001100010110101100100
3112102120222100022000211120200
4121001023132101202311210
5103410231422020030040
61030004032342030500
732114364344354304
oct3101133621426544
9472528308024520
10110032201330020
1132072438132032
1210410b89718430
134951cb87423a8
141d25830891604
15cac2cb71c630
hex6412de462d64

110032201330020 has 144 divisors (see below), whose sum is σ = 334041157457280. Its totient is φ = 29317591756800.

The previous prime is 110032201330019. The next prime is 110032201330099. The reversal of 110032201330020 is 20033102230011.

110032201330020 is a `hidden beast` number, since 1 + 10 + 0 + 322 + 0 + 1 + 330 + 0 + 2 + 0 = 666.

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 = 110032201329975 and 110032201330002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800205060 + ... + 1800266180.

It is an arithmetic number, because the mean of its divisors is an integer number (2319730260120).

Almost surely, 2110032201330020 is an apocalyptic number.

110032201330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032201330020 is an abundant number, since it is smaller than the sum of its proper divisors (224008956127260).

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

110032201330020 is a wasteful number, since it uses less digits than its factorization.

110032201330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69266 (or 69261 counting only the distinct ones).

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

Adding to 110032201330020 its reverse (20033102230011), we get a palindrome (130065303560031).

The spelling of 110032201330020 in words is "one hundred ten trillion, thirty-two billion, two hundred one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1511 3022 4533 6044 6619 7555 9066 13238 13599 15110 18132 19857 22665 26476 27198 30220 33095 39714 45330 54396 59571 61121 66190 67995 79428 90660 99285 119142 122242 132380 135990 183363 198570 238284 244484 271980 297855 305605 366726 397140 550089 595710 611210 733452 916815 1100178 1191420 1222420 1833630 2200356 2750445 3667260 5500890 10001309 11001780 20002618 30003927 40005236 50006545 60007854 90011781 92353831 100013090 120015708 150019635 180023562 184707662 200026180 277061493 300039270 360047124 369415324 404559899 450058905 461769155 554122986 600078540 809119798 831184479 900117810 923538310 1108245972 1213679697 1385307465 1618239596 1662368958 1800235620 1847076620 2022799495 2427359394 2770614930 3324737916 3641039091 4045598990 4155922395 4854718788 5541229860 6068398485 7282078182 8091197980 8311844790 12136796970 14564156364 16623689580 18205195455 24273593940 36410390910 72820781820 611290007389 1222580014778 1833870022167 2445160029556 3056450036945 3667740044334 5501610066501 6112900073890 7335480088668 9169350110835 11003220133002 12225800147780 18338700221670 22006440266004 27508050332505 36677400443340 55016100665010 110032201330020