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201224121332 = 221319832453833
BaseRepresentation
bin1011101101100111100…
…1000110101111110100
3201020101122200111021112
42323121321012233310
511244101333340312
6232235135134152
720352343544603
oct2733171065764
9636348614245
10201224121332
117837a852723
1232bb9674358
1315c8ab0a920
149a4c8cda3a
15537ab76d22
hex2ed9e46bf4

201224121332 has 48 divisors (see below), whose sum is σ = 403999229760. Its totient is φ = 86924544768.

The previous prime is 201224121331. The next prime is 201224121341. The reversal of 201224121332 is 233121422102.

It is a super-2 number, since 2×2012241213322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201224121298 and 201224121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201224121331) 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 15 ways as a sum of consecutive naturals, for example, 1144913 + ... + 1308920.

It is an arithmetic number, because the mean of its divisors is an integer number (8416650620).

Almost surely, 2201224121332 is an apocalyptic number.

It is an amenable number.

201224121332 is an abundant number, since it is smaller than the sum of its proper divisors (202775108428).

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

201224121332 is a wasteful number, since it uses less digits than its factorization.

201224121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453952 (or 2453950 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 201224121332 its reverse (233121422102), we get a palindrome (434345543434).

The spelling of 201224121332 in words is "two hundred one billion, two hundred twenty-four million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 19 26 38 52 76 83 166 247 332 494 988 1079 1577 2158 3154 4316 6308 20501 41002 82004 2453833 4907666 9815332 31899829 46622827 63799658 93245654 127599316 186491308 203668139 407336278 606096751 814672556 1212193502 2424387004 2647685807 3869694641 5295371614 7739389282 10590743228 15478778564 50306030333 100612060666 201224121332