Search a number
-
+
31301111111000 = 2353292110751137
BaseRepresentation
bin1110001110111110110111…
…00110111101110101011000
311002211100122020210111110112
413013133123212331311120
513100314133421023000
6150323310521503452
76410300466351353
oct707373346756530
9132740566714415
1031301111111000
119a787aa2273a5
123616446941b88
1314608b37a7803
147a2da632729a
1539433152c235
hex1c77db9bdd58

31301111111000 has 128 divisors (see below), whose sum is σ = 75775347460800. Its totient is φ = 12087895859200.

The previous prime is 31301111110991. The next prime is 31301111111021. The reversal of 31301111111000 is 11111110313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612077432 + ... + 612128568.

Almost surely, 231301111111000 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 31301111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37887673730400).

31301111111000 is an abundant number, since it is smaller than the sum of its proper divisors (44474236349800).

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

31301111111000 is a wasteful number, since it uses less digits than its factorization.

31301111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72294 (or 72280 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 31301111111000 its reverse (11111110313), we get a palindrome (31312222221313).

The spelling of 31301111111000 in words is "thirty-one trillion, three hundred one billion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 21107 29000 42214 51137 84428 102274 105535 168856 204548 211070 255685 409096 422140 511370 527675 612103 844280 1022740 1055350 1224206 1278425 1482973 2045480 2110700 2448412 2556850 2638375 2965946 3060515 4221400 4896824 5113700 5276750 5931892 6121030 6392125 7414865 10227400 10553500 11863784 12242060 12784250 14829730 15302575 21107000 24484120 25568500 29659460 30605150 37074325 51137000 59318920 61210300 74148650 76512875 122420600 148297300 153025750 185371625 296594600 306051500 370743250 612103000 741486500 1079348659 1482973000 2158697318 4317394636 5396743295 8634789272 10793486590 21586973180 26983716475 31301111111 43173946360 53967432950 62602222222 107934865900 125204444444 134918582375 156505555555 215869731800 250408888888 269837164750 313011111110 539674329500 626022222220 782527777775 1079348659000 1252044444440 1565055555550 3130111111100 3912638888875 6260222222200 7825277777750 15650555555500 31301111111000