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221303021212122 = 234319942509101399
BaseRepresentation
bin110010010100011000011111…
…111101111001000111011010
31002000120100210001101111100120
4302110120133331321013122
5213001312041412241442
62102401112054214110
764420421112031533
oct6224303775710732
91060510701344316
10221303021212122
11645720a21309a3
12209a2012054336
139663a2956a615
143c911a279568a
151a8b8ed1ce4ec
hexc9461ff791da

221303021212122 has 64 divisors (see below), whose sum is σ = 455190278400000. Its totient is φ = 71687681892288.

The previous prime is 221303021212067. The next prime is 221303021212153. The reversal of 221303021212122 is 221212120303122.

It is a super-2 number, since 2×2213030212121222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221303021212092 and 221303021212101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182446379 + ... + 2182547777.

It is an arithmetic number, because the mean of its divisors is an integer number (7112348100000).

Almost surely, 2221303021212122 is an apocalyptic number.

221303021212122 is an abundant number, since it is smaller than the sum of its proper divisors (233887257187878).

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

221303021212122 is a wasteful number, since it uses less digits than its factorization.

221303021212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144155.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221303021212122 its reverse (221212120303122), we get a palindrome (442515141515244).

The spelling of 221303021212122 in words is "two hundred twenty-one trillion, three hundred three billion, twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 43 86 129 199 258 398 597 1194 8557 17114 25671 42509 51342 85018 101399 127527 202798 255054 304197 608394 1827887 3655774 4360157 5483661 8459291 8720314 10967322 13080471 16918582 20178401 25377873 26160942 40356802 50755746 60535203 121070406 363749513 727499026 867671243 1091248539 1735342486 2182497078 2603013729 4310370091 5206027458 8620740182 12931110273 25862220546 185345913913 370691827826 556037741739 857763648109 1112075483478 1715527296218 2573290944327 5146581888654 36883836868687 73767673737374 110651510606061 221303021212122