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1020221100999 = 3219103199291077
BaseRepresentation
bin11101101100010011110…
…10101001001111000111
310121112100221222210021200
432312021322221033013
5113203403100212444
62100403314513543
7133465013163162
oct16661172511707
93545327883250
101020221100999
1136374523a411
12145885b958b3
137528b708069
1437543c44ad9
151b811b08969
hexed89ea93c7

1020221100999 has 48 divisors (see below), whose sum is σ = 1574149824000. Its totient is φ = 634885656768.

The previous prime is 1020221100991. The next prime is 1020221101001. The reversal of 1020221100999 is 9990011220201.

It is not a de Polignac number, because 1020221100999 - 23 = 1020221100991 is a prime.

It is a super-2 number, since 2×10202211009992 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020221100991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3359449 + ... + 3650525.

It is an arithmetic number, because the mean of its divisors is an integer number (32794788000).

Almost surely, 21020221100999 is an apocalyptic number.

1020221100999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1020221100999 is a deficient number, since it is larger than the sum of its proper divisors (553928723001).

1020221100999 is a wasteful number, since it uses less digits than its factorization.

1020221100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291404 (or 291401 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

It can be divided in two parts, 102022 and 1100999, that added together give a palindrome (1203021).

The spelling of 1020221100999 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 9 19 57 103 171 199 309 597 927 1791 1957 3781 5871 11343 17613 20497 34029 61491 184473 291077 389443 873231 1168329 2619693 3504987 5530463 16591389 29980931 49774167 57924323 89942793 173772969 269828379 521318907 569637689 1100562137 1708913067 3301686411 5126739201 5966205269 9905059233 17898615807 53695847421 113357900111 340073700333 1020221100999