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10220555502201 = 3114491039166383
BaseRepresentation
bin1001010010111010100010…
…0101001000001001111001
31100012002001002022122100010
42110232220211020021321
52314423144202032301
633423131450532133
72103260615234202
oct224565045101171
940162032278303
1010220555502201
11329057114a270
12119098b437049
13591a42c6b045
1427496b1b85a9
1512acd7cb15d6
hex94ba8948279

10220555502201 has 32 divisors (see below), whose sum is σ = 14901030604800. Its totient is φ = 6179792460800.

The previous prime is 10220555502173. The next prime is 10220555502203.

10220555502201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10220555502201 - 211 = 10220555500153 is a prime.

It is a super-2 number, since 2×102205555022012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10220555502203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153930256 + ... + 153996638.

It is an arithmetic number, because the mean of its divisors is an integer number (465657206400).

Almost surely, 210220555502201 is an apocalyptic number.

10220555502201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220555502201 is a deficient number, since it is larger than the sum of its proper divisors (4680475102599).

10220555502201 is a wasteful number, since it uses less digits than its factorization.

10220555502201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77237.

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 1022055 and 5502201, that added together give a palindrome (6524256).

The spelling of 10220555502201 in words is "ten trillion, two hundred twenty billion, five hundred fifty-five million, five hundred two thousand, two hundred one".

Divisors: 1 3 11 33 449 1347 4939 10391 14817 31173 66383 114301 199149 342903 730213 2190639 4665559 13996677 29805967 51321149 89417901 153963447 327865637 689785753 983596911 2069357259 7587643283 22762929849 309713803097 929141409291 3406851834067 10220555502201