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102021211111120 = 2457259441115579
BaseRepresentation
bin10111001100100110101010…
…000011000011111011010000
3111101020010120121121110121221
4113030212222003003323100
5101333003420021023440
61000551521455254424
730326534501130400
oct2714465203037320
9441203517543557
10102021211111120
112a563a52a91764
12b53848921a414
1344c0735c69932
141b29bd276a800
15bbdc149ead4a
hex5cc9aa0c3ed0

102021211111120 has 120 divisors (see below), whose sum is σ = 280602442749600. Its totient is φ = 34385841536256.

The previous prime is 102021211111093. The next prime is 102021211111121. The reversal of 102021211111120 is 21111112120201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102021211111094 and 102021211111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021211111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220326510 + ... + 220789069.

It is an arithmetic number, because the mean of its divisors is an integer number (2338353689580).

Almost surely, 2102021211111120 is an apocalyptic number.

102021211111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021211111120 is an abundant number, since it is smaller than the sum of its proper divisors (178581231638480).

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

102021211111120 is a wasteful number, since it uses less digits than its factorization.

102021211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441115665 (or 441115652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102021211111120 its reverse (21111112120201), we get a palindrome (123132323231321).

The spelling of 102021211111120 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 59 70 80 98 112 118 140 196 236 245 280 295 392 413 472 490 560 590 784 826 944 980 1180 1652 1960 2065 2360 2891 3304 3920 4130 4720 5782 6608 8260 11564 14455 16520 23128 28910 33040 46256 57820 115640 231280 441115579 882231158 1764462316 2205577895 3087809053 3528924632 4411155790 6175618106 7057849264 8822311580 12351236212 15439045265 17644623160 21614663371 24702472424 26025819161 30878090530 35289246320 43229326742 49404944848 52051638322 61756181060 86458653484 104103276644 108073316855 123512362120 130129095805 172917306968 182180734127 208206553288 216146633710 247024724240 260258191610 345834613936 364361468254 416413106576 432293267420 520516383220 728722936508 864586534840 910903670635 1041032766440 1275265138889 1457445873016 1729173069680 1821807341270 2082065532880 2550530277778 2914891746032 3643614682540 5101060555556 6376325694445 7287229365080 10202121111112 12752651388890 14574458730160 20404242222224 25505302777780 51010605555560 102021211111120