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10311104432 = 2431411373701
BaseRepresentation
bin10011001101001011…
…01111011110110000
3222121121011101011202
421212211233132300
5132104120320212
64423054430332
7513342640646
oct114645573660
928547141152
1010311104432
114411393412
121bb92023a8
13c842a5735
146db5c7196
154053620c2
hex26696f7b0

10311104432 has 80 divisors (see below), whose sum is σ = 21285137664. Its totient is φ = 4830720000.

The previous prime is 10311104431. The next prime is 10311104437. The reversal of 10311104432 is 23440111301.

It is a super-2 number, since 2×103111044322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10311104431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784182 + ... + 2787882.

Almost surely, 210311104432 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 10311104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10642568832).

10311104432 is an abundant number, since it is smaller than the sum of its proper divisors (10974033232).

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

10311104432 is a wasteful number, since it uses less digits than its factorization.

10311104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10311104432 its reverse (23440111301), we get a palindrome (33751215733).

The spelling of 10311104432 in words is "ten billion, three hundred eleven million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 137 164 248 274 328 496 548 656 1096 1271 2192 2542 3701 4247 5084 5617 7402 8494 10168 11234 14804 16988 20336 22468 29608 33976 44936 59216 67952 89872 114731 151741 174127 229462 303482 348254 458924 507037 606964 696508 917848 1014074 1213928 1393016 1835696 2028148 2427856 2786032 4056296 4703971 8112592 9407942 15718147 18815884 20788517 31436294 37631768 41577034 62872588 75263536 83154068 125745176 166308136 251490352 332616272 644444027 1288888054 2577776108 5155552216 10311104432