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20032101223120 = 2457659142738039
BaseRepresentation
bin1001000111000000101100…
…10001110000101011010000
32121221001100120120121021101
410203200112101300223100
510111201220403114440
6110334341550434144
74135162066640440
oct443402621605320
977831316517241
1020032101223120
1164236259a50a8
1222b6432202954
13b24032aa460c
144d37b7790120
1524b1331b969a
hex123816470ad0

20032101223120 has 160 divisors (see below), whose sum is σ = 53347685529600. Its totient is φ = 6852741063168.

The previous prime is 20032101223103. The next prime is 20032101223139. The reversal of 20032101223120 is 2132210123002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526601061 + ... + 526639099.

It is an arithmetic number, because the mean of its divisors is an integer number (333423034560).

Almost surely, 220032101223120 is an apocalyptic number.

20032101223120 is a gapful number since it is divisible by the number (20) 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 20032101223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673842764800).

20032101223120 is an abundant number, since it is smaller than the sum of its proper divisors (33315584306480).

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

20032101223120 is a wasteful number, since it uses less digits than its factorization.

20032101223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40145 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20032101223120 its reverse (2132210123002), we get a palindrome (22164311346122).

The spelling of 20032101223120 in words is "twenty trillion, thirty-two billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 659 1318 1427 2636 2854 3295 4613 5272 5708 6590 7135 9226 9989 10544 11416 13180 14270 18452 19978 22832 23065 26360 28540 36904 38039 39956 46130 49945 52720 57080 73808 76078 79912 92260 99890 114160 152156 159824 184520 190195 199780 266273 304312 369040 380390 399560 532546 608624 760780 799120 940393 1065092 1331365 1521560 1880786 2130184 2662730 3043120 3761572 4260368 4701965 5325460 6582751 7523144 9403930 10650920 13165502 15046288 18807860 21301840 25067701 26331004 32913755 37615720 50135402 52662008 54281653 65827510 75231440 100270804 105324016 108563306 125338505 131655020 175473907 200541608 217126612 250677010 263310040 271408265 350947814 379971571 401083216 434253224 501354020 526620080 542816530 701895628 759943142 868506448 877369535 1002708040 1085633060 1403791256 1519886284 1754739070 1899857855 2005416080 2171266120 2807582512 3039772568 3509478140 3799715710 4342532240 6079545136 7018956280 7599431420 14037912560 15198862840 30397725680 35771609327 71543218654 143086437308 178858046635 250401265289 286172874616 357716093270 500802530578 572345749232 715432186540 1001605061156 1252006326445 1430864373080 2003210122312 2504012652890 2861728746160 4006420244624 5008025305780 10016050611560 20032101223120