Search a number
-
+
31234231131000 = 2335310411410377
BaseRepresentation
bin1110001101000010010010…
…10000000101101101111000
311002120222000021022111102020
413012201021100011231320
513043220201132143000
6150232450243434440
76402412236041052
oct706411120055570
9132528007274366
1031234231131000
119a523aa220557
1236054a0985a20
1314574b5877751
1479da5dc3a8d2
15392719cbbba0
hex1c6849405b78

31234231131000 has 64 divisors (see below), whose sum is σ = 97450801138080. Its totient is φ = 8329128300800.

The previous prime is 31234231130969. The next prime is 31234231131001. The reversal of 31234231131000 is 13113243213.

It is a super-2 number, since 2×312342311310002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31234231131001) 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, 5205702189 + ... + 5205708188.

Almost surely, 231234231131000 is an apocalyptic number.

31234231131000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31234231131000 is an abundant number, since it is smaller than the sum of its proper divisors (66216570007080).

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

31234231131000 is a wasteful number, since it uses less digits than its factorization.

31234231131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411410401 (or 10411410387 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31234231131000 its reverse (13113243213), we get a palindrome (31247344374213).

The spelling of 31234231131000 in words is "thirty-one trillion, two hundred thirty-four billion, two hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 10411410377 20822820754 31234231131 41645641508 52057051885 62468462262 83291283016 104114103770 124936924524 156171155655 208228207540 249873849048 260285259425 312342311310 416456415080 520570518850 624684622620 780855778275 1041141037700 1249369245240 1301426297125 1561711556550 2082282075400 2602852594250 3123423113100 3904278891375 5205705188500 6246846226200 7808557782750 10411410377000 15617115565500 31234231131000