Search a number
-
+
122023631444 = 221121319393457
BaseRepresentation
bin111000110100100101…
…1001101101001010100
3102122222000222201222012
41301221023031221110
53444401022201234
6132020141523352
711546600516351
oct1615113155124
9378860881865
10122023631444
1147828182400
121b795573558
13b678516a20
145c97dd3628
1532929850ce
hex1c692cda54

122023631444 has 36 divisors (see below), whose sum is σ = 252774331572. Its totient is φ = 51198723840.

The previous prime is 122023631381. The next prime is 122023631491. The reversal of 122023631444 is 444136320221.

It can be written as a sum of positive squares in 2 ways, for example, as 13544304400 + 108479327044 = 116380^2 + 329362^2 .

It is a super-2 number, since 2×1220236314442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122023631444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9690437 + ... + 9703020.

Almost surely, 2122023631444 is an apocalyptic number.

It is an amenable number.

122023631444 is an abundant number, since it is smaller than the sum of its proper divisors (130750700128).

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

122023631444 is a wasteful number, since it uses less digits than its factorization.

122023631444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19393496 (or 19393483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 122023631444 its reverse (444136320221), we get a palindrome (566159951665).

The spelling of 122023631444 in words is "one hundred twenty-two billion, twenty-three million, six hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 3146 6292 19393457 38786914 77573828 213328027 252114941 426656054 504229882 853312108 1008459764 2346608297 2773264351 4693216594 5546528702 9386433188 11093057404 30505907861 61011815722 122023631444