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222121001032 = 237101307127921
BaseRepresentation
bin1100111011011101110…
…0011000000001001000
3210020022222211222011221
43032313130120001020
512114400434013112
6250012503531424
722022236233250
oct3166734300110
9706288758157
10222121001032
1186223572737
123706ba59b74
1317c3b2588b8
14aa71d5c960
155ba0504e07
hex33b7718048

222121001032 has 64 divisors (see below), whose sum is σ = 482255706240. Its totient is φ = 93944448000.

The previous prime is 222121001017. The next prime is 222121001059. The reversal of 222121001032 is 230100121222.

It is a happy number.

It is a super-3 number, since 3×2221210010323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222121000997 and 222121001015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672432 + ... + 1800352.

It is an arithmetic number, because the mean of its divisors is an integer number (7535245410).

Almost surely, 2222121001032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222121001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241127853120).

222121001032 is an abundant number, since it is smaller than the sum of its proper divisors (260134705208).

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

222121001032 is a wasteful number, since it uses less digits than its factorization.

222121001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128342 (or 128338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222121001032 its reverse (230100121222), we get a palindrome (452221122254).

The spelling of 222121001032 in words is "two hundred twenty-two billion, one hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 101 202 307 404 614 707 808 1228 1414 2149 2456 2828 4298 5656 8596 17192 31007 62014 124028 127921 217049 248056 255842 434098 511684 868196 895447 1023368 1736392 1790894 3581788 7163576 12920021 25840042 39271747 51680084 78543494 90440147 103360168 157086988 180880294 274902229 314173976 361760588 549804458 723521176 1099608916 2199217832 3966446447 7932892894 15865785788 27765125129 31731571576 55530250258 111060500516 222121001032