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102002211200120 = 235711229431443473
BaseRepresentation
bin10111001100010100111101…
…100100001001110001111000
3111101011022112110220222120112
4113030110331210021301320
5101332201012031400440
61000535100253243452
730325262611425020
oct2714247544116170
9441138473828515
10102002211200120
112a556993037380
12b534866193588
1344bb9c883084a
141b28d0d216a80
15bbd4a197c965
hex5cc53d909c78

102002211200120 has 128 divisors (see below), whose sum is σ = 286148742819840. Its totient is φ = 31791489239040.

The previous prime is 102002211200063. The next prime is 102002211200137. The reversal of 102002211200120 is 21002112200201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102002211200095 and 102002211200104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69942704 + ... + 71386176.

It is an arithmetic number, because the mean of its divisors is an integer number (2235537053280).

Almost surely, 2102002211200120 is an apocalyptic number.

102002211200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002211200120 is an abundant number, since it is smaller than the sum of its proper divisors (184146531619720).

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

102002211200120 is a wasteful number, since it uses less digits than its factorization.

102002211200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466445 (or 1466441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002211200120 its reverse (21002112200201), we get a palindrome (123004323400321).

The spelling of 102002211200120 in words is "one hundred two trillion, two billion, two hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 22943 45886 91772 114715 160601 183544 229430 252373 321202 458860 504746 642404 803005 917720 1009492 1261865 1284808 1443473 1606010 1766611 2018984 2523730 2886946 3212020 3533222 5047460 5773892 6424040 7066444 7217365 8833055 10094920 10104311 11547784 14132888 14434730 15878203 17666110 20208622 28869460 31756406 35332220 40417244 50521555 57738920 63512812 70664440 79391015 80834488 101043110 111147421 127025624 158782030 202086220 222294842 317564060 404172440 444589684 555737105 635128120 889179368 1111474210 2222948420 4445896840 33117601039 66235202078 132470404156 165588005195 231823207273 264940808312 331176010390 364293611429 463646414546 662352020780 728587222858 927292829092 1159116036365 1324704041560 1457174445716 1821468057145 1854585658184 2318232072730 2550055280003 2914348891432 3642936114290 4636464145460 5100110560006 7285872228580 9272928290920 10200221120012 12750276400015 14571744457160 20400442240024 25500552800030 51001105600060 102002211200120