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10101220001220 = 22351013793439459
BaseRepresentation
bin1001001011111101111110…
…1000010100010111000100
31022202200000101112002010110
42102333133220110113010
52310444244310014340
633252234132553020
72061534435223545
oct222773750242704
938680011462113
1010101220001220
1132449a3397097
121171826182770
1358370564327a
1426cc8a2084cc
15127b51319680
hex92fdfa145c4

10101220001220 has 96 divisors (see below), whose sum is σ = 28571045408640. Its totient is φ = 2666279577600.

The previous prime is 10101220001209. The next prime is 10101220001237. The reversal of 10101220001220 is 2210002210101.

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 = 10101220001196 and 10101220001205.

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, 22765851 + ... + 23205309.

It is an arithmetic number, because the mean of its divisors is an integer number (297615056340).

Almost surely, 210101220001220 is an apocalyptic number.

10101220001220 is a gapful number since it is divisible by the number (10) 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 10101220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285522704320).

10101220001220 is an abundant number, since it is smaller than the sum of its proper divisors (18469825407420).

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

10101220001220 is a wasteful number, since it uses less digits than its factorization.

10101220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443365 (or 443363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10101220001220 its reverse (2210002210101), we get a palindrome (12311222211321).

The spelling of 10101220001220 in words is "ten trillion, one hundred one billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3793 6060 7586 11379 15172 18965 22758 37930 45516 56895 75860 113790 227580 383093 439459 766186 878918 1149279 1318377 1532372 1757836 1915465 2197295 2298558 2636754 3830930 4394590 4597116 5273508 5746395 6591885 7661860 8789180 11492790 13183770 22985580 26367540 44385359 88770718 133156077 177541436 221926795 266312154 443853590 532624308 665780385 887707180 1331560770 1666867987 2663121540 3333735974 5000603961 6667471948 8334339935 10001207922 16668679870 20002415844 25003019805 33337359740 50006039610 100012079220 168353666687 336707333374 505061000061 673414666748 841768333435 1010122000122 1683536666870 2020244000244 2525305000305 3367073333740 5050610000610 10101220001220