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102020201002020 = 223571012405002381
BaseRepresentation
bin10111001100100101101101…
…110101110011010000100100
3111101020000222012220121102210
4113030211231311303100210
5101332444332424031040
61000551233333203420
730326500454264040
oct2714455565632044
9441200865817383
10102020201002020
112a563584893854
12b538246a90570
1344c0604900342
141b29b3854b020
15bbdba5ebe480
hex5cc96dd73424

102020201002020 has 96 divisors (see below), whose sum is σ = 329696966543616. Its totient is φ = 23088022848000.

The previous prime is 102020201002019. The next prime is 102020201002039. The reversal of 102020201002020 is 20200102020201.

102020201002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020202010020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102020201001987 and 102020201002005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202458771 + ... + 1202543610.

It is an arithmetic number, because the mean of its divisors is an integer number (3434343401496).

Almost surely, 2102020201002020 is an apocalyptic number.

102020201002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020201002020 is an abundant number, since it is smaller than the sum of its proper divisors (227676765541596).

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

102020201002020 is a wasteful number, since it uses less digits than its factorization.

102020201002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405002501 (or 2405002499 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020201002020 its reverse (20200102020201), we get a palindrome (122220303022221).

The spelling of 102020201002020 in words is "one hundred two trillion, twenty billion, two hundred one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 6060 7070 8484 10605 14140 21210 42420 2405002381 4810004762 7215007143 9620009524 12025011905 14430014286 16835016667 24050023810 28860028572 33670033334 36075035715 48100047620 50505050001 67340066668 72150071430 84175083335 101010100002 144300142860 168350166670 202020200004 242905240481 252525250005 336700333340 485810480962 505050500010 728715721443 971620961924 1010101000020 1214526202405 1457431442886 1700336683367 2429052404810 2914862885772 3400673366734 3643578607215 4858104809620 5101010050101 6801346733468 7287157214430 8501683416835 10202020100202 14574314428860 17003366833670 20404040200404 25505050250505 34006733667340 51010100501010 102020201002020