Search a number
-
+
31541300032 = 261165368611
BaseRepresentation
bin11101011000000000…
…100000101101000000
310000102011112001112111
4131120000200231000
51004044033100112
622253451305104
72164423424644
oct353000405500
9100364461474
1031541300032
1112416272610
12614314b194
132c887b7858
14175301cc24
15c490d05a7
hex758020b40

31541300032 has 56 divisors (see below), whose sum is σ = 68385305952. Its totient is φ = 14314790400.

The previous prime is 31541300023. The next prime is 31541300039. The reversal of 31541300032 is 23000314513.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31541299976 and 31541300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31541300039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425407 + ... + 494017.

Almost surely, 231541300032 is an apocalyptic number.

31541300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31541300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34192652976).

31541300032 is an abundant number, since it is smaller than the sum of its proper divisors (36844005920).

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

31541300032 is a wasteful number, since it uses less digits than its factorization.

31541300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69287 (or 69277 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 31541300032 its reverse (23000314513), we get a palindrome (54541614545).

The spelling of 31541300032 in words is "thirty-one billion, five hundred forty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 653 704 1306 2612 5224 7183 10448 14366 20896 28732 41792 57464 68611 114928 137222 229856 274444 459712 548888 754721 1097776 1509442 2195552 3018884 4391104 6037768 12075536 24151072 44802983 48302144 89605966 179211932 358423864 492832813 716847728 985665626 1433695456 1971331252 2867390912 3942662504 7885325008 15770650016 31541300032