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211142320020 = 2232510116676967
BaseRepresentation
bin1100010010100100010…
…0000001111110010100
3202011222212112012002200
43010221010001332110
511424404413220040
6240555240404500
721153206052012
oct3045104017624
9664885465080
10211142320020
11815aa376145
1234b07176730
1316bab886b48
14a30dc3b8b2
15575b777630
hex3129101f94

211142320020 has 144 divisors (see below), whose sum is σ = 647287175808. Its totient is φ = 55705708800.

The previous prime is 211142320019. The next prime is 211142320021. The reversal of 211142320020 is 20023241112.

It is a happy number.

211142320020 is a `hidden beast` number, since 21 + 1 + 1 + 423 + 200 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (211142320019) and next prime (211142320021).

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 = 211142319975 and 211142320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142320021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30302577 + ... + 30309543.

It is an arithmetic number, because the mean of its divisors is an integer number (4495049832).

Almost surely, 2211142320020 is an apocalyptic number.

211142320020 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 211142320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323643587904).

211142320020 is an abundant number, since it is smaller than the sum of its proper divisors (436144855788).

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

211142320020 is a wasteful number, since it uses less digits than its factorization.

211142320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211142320020 its reverse (20023241112), we get a palindrome (231165561132).

The spelling of 211142320020 in words is "two hundred eleven billion, one hundred forty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1667 1818 2020 3030 3334 3636 4545 5001 6060 6668 6967 8335 9090 10002 13934 15003 16670 18180 20004 20901 25005 27868 30006 33340 34835 41802 50010 60012 62703 69670 75015 83604 100020 104505 125406 139340 150030 168367 209010 250812 300060 313515 336734 418020 505101 627030 673468 703667 841835 1010202 1254060 1407334 1515303 1683670 2020404 2111001 2525505 2814668 3030606 3367340 3518335 4222002 5051010 6061212 6333003 7036670 7576515 8444004 10102020 10555005 11613989 12666006 14073340 15153030 21110010 23227978 25332012 30306060 31665015 34841967 42220020 46455956 58069945 63330030 69683934 104525901 116139890 126660060 139367868 174209835 209051802 232279780 348419670 418103604 522629505 696839340 1045259010 1173012889 2090518020 2346025778 3519038667 4692051556 5865064445 7038077334 10557116001 11730128890 14076154668 17595193335 21114232002 23460257780 35190386670 42228464004 52785580005 70380773340 105571160010 211142320020