Search a number
-
+
31013355504 = 2436171149183
BaseRepresentation
bin11100111000100010…
…100011111111110000
32222001101002200210110
4130320202203333300
51002003404334004
622125231501320
72145353113035
oct347042437760
988041080713
1031013355504
111217525a01a
126016387840
132c032ca241
141702c7138c
15c17a97589
hex7388a3ff0

31013355504 has 80 divisors (see below), whose sum is σ = 82578714624. Its totient is φ = 10025030400.

The previous prime is 31013355491. The next prime is 31013355533. The reversal of 31013355504 is 40555331013.

It is a congruent number.

It is an unprimeable number.

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, 133297 + ... + 282479.

Almost surely, 231013355504 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 31013355504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41289357312).

31013355504 is an abundant number, since it is smaller than the sum of its proper divisors (51565359120).

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

31013355504 is a wasteful number, since it uses less digits than its factorization.

31013355504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149326 (or 149320 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 31013355504 its reverse (40555331013), we get a palindrome (71568686517).

The spelling of 31013355504 in words is "thirty-one billion, thirteen million, three hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 122 142 183 213 244 284 366 426 488 568 732 852 976 1136 1464 1704 2928 3408 4331 8662 12993 17324 25986 34648 51972 69296 103944 149183 207888 298366 447549 596732 895098 1193464 1790196 2386928 3580392 7160784 9100163 10591993 18200326 21183986 27300489 31775979 36400652 42367972 54600978 63551958 72801304 84735944 109201956 127103916 145602608 169471888 218403912 254207832 436807824 508415664 646111573 1292223146 1938334719 2584446292 3876669438 5168892584 7753338876 10337785168 15506677752 31013355504