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10220120000001 = 3344364111231187
BaseRepresentation
bin1001010010111000111010…
…0111110100011000000001
31100012000220201211211122000
42110232032213310120001
52314421301210000001
633423020332334213
72103244046436402
oct224561647643001
940160821754560
1010220120000001
113290368335a9a
121190889614369
135919a3979232
142749294119a9
1512acae938a86
hex94b8e9f4601

10220120000001 has 64 divisors (see below), whose sum is σ = 15225120599040. Its totient is φ = 6775670753280.

The previous prime is 10220119999997. The next prime is 10220120000053. The reversal of 10220120000001 is 10000002102201.

It is not a de Polignac number, because 10220120000001 - 22 = 10220119999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10220120000071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8610041530 + ... + 8610042716.

It is an arithmetic number, because the mean of its divisors is an integer number (237892509360).

Almost surely, 210220120000001 is an apocalyptic number.

It is an amenable number.

10220120000001 is a deficient number, since it is larger than the sum of its proper divisors (5005000599039).

10220120000001 is a wasteful number, since it uses less digits than its factorization.

10220120000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220120000001 its reverse (10000002102201), we get a palindrome (20220122102202).

The spelling of 10220120000001 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one", and thus it is an aban number.

Divisors: 1 3 9 27 443 641 1123 1187 1329 1923 3369 3561 3987 5769 10107 10683 11961 17307 30321 32049 283963 497489 525841 719843 760867 851889 1333001 1492467 1577523 2159529 2282601 2555667 3999003 4477401 4732569 6478587 6847803 7667001 11997009 13432203 14197707 19435761 20543409 35991027 318890449 337064081 590519443 854453641 956671347 1011192243 1771558329 2563360923 2870014041 3033576729 5314674987 7690082769 8610042123 9100730187 15944024961 23070248307 378522962963 1135568888889 3406706666667 10220120000001