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210222211122 = 2327111013149729
BaseRepresentation
bin1100001111001000111…
…0000110000000110010
3202002121202011210222100
43003302032012000302
511421013341223442
6240324051321230
721121334211540
oct3036216060062
9662552153870
10210222211122
1181177a59770
12348aabb0216
1316a9306c601
14a263968d90
155705ac784c
hex30f2386032

210222211122 has 96 divisors (see below), whose sum is σ = 568437367680. Its totient is φ = 54548904960.

The previous prime is 210222211091. The next prime is 210222211139. The reversal of 210222211122 is 221112222012.

It is a happy number.

210222211122 is a `hidden beast` number, since 210 + 222 + 211 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210222211095 and 210222211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329154 + ... + 1478882.

It is an arithmetic number, because the mean of its divisors is an integer number (5921222580).

Almost surely, 2210222211122 is an apocalyptic number.

210222211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210222211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284218683840).

210222211122 is an abundant number, since it is smaller than the sum of its proper divisors (358215156558).

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

210222211122 is a wasteful number, since it uses less digits than its factorization.

210222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150768 (or 150765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210222211122 its reverse (221112222012), we get a palindrome (431334433134).

The spelling of 210222211122 in words is "two hundred ten billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1013 1386 2026 3039 6078 7091 9117 11143 14182 18234 21273 22286 33429 42546 63819 66858 78001 100287 127638 149729 156002 200574 234003 299458 449187 468006 702009 898374 1048103 1347561 1404018 1647019 2096206 2695122 3144309 3294038 4941057 6288618 9432927 9882114 11529133 14823171 18865854 23058266 29646342 34587399 69174798 103762197 151675477 207524394 303350954 455026431 910052862 1061728339 1365079293 1668430247 2123456678 2730158586 3185185017 3336860494 5005290741 6370370034 9555555051 10010581482 11679011729 15015872223 19111110102 23358023458 30031744446 35037035187 70074070374 105111105561 210222211122