Search a number
-
+
31234142112 = 2531991634953
BaseRepresentation
bin11101000101101100…
…110010111110100000
32222121202112211002020
4131011230302332200
51002431420021422
622203200021440
72154003553545
oct350554627640
988552484066
1031234142112
111227894a298
126078301880
132c39c819c4
141724304bcc
15c2c15a95c
hex745b32fa0

31234142112 has 48 divisors (see below), whose sum is σ = 82401681600. Its totient is φ = 10359055872.

The previous prime is 31234142089. The next prime is 31234142119. The reversal of 31234142112 is 21124143213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×312341421122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31234142119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798373 + ... + 836580.

It is an arithmetic number, because the mean of its divisors is an integer number (1716701700).

Almost surely, 231234142112 is an apocalyptic number.

31234142112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31234142112 is an abundant number, since it is smaller than the sum of its proper divisors (51167539488).

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

31234142112 is a wasteful number, since it uses less digits than its factorization.

31234142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635165 (or 1635157 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 31234142112 its reverse (21124143213), we get a palindrome (52358285325).

It can be divided in two parts, 312341 and 42112, that added together give a palindrome (354453).

The spelling of 31234142112 in words is "thirty-one billion, two hundred thirty-four million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 19104 1634953 3269906 4904859 6539812 9809718 13079624 19619436 26159248 39238872 52318496 78477744 156955488 325355647 650711294 976066941 1301422588 1952133882 2602845176 3904267764 5205690352 7808535528 10411380704 15617071056 31234142112