Search a number
-
+
31243133000 = 2353313727239
BaseRepresentation
bin11101000110001111…
…000110000001001000
32222122101110121021002
4131012033012001020
51002441220224000
622204120434132
72154143151212
oct350617060110
988571417232
1031243133000
1112282a30282
12607b318948
132c3baac161
1417255a55b2
15c2cd348d5
hex7463c6048

31243133000 has 128 divisors (see below), whose sum is σ = 77509785600. Its totient is φ = 11766816000.

The previous prime is 31243132997. The next prime is 31243133003. The reversal of 31243133000 is 33134213.

It is an interprime number because it is at equal distance from previous prime (31243132997) and next prime (31243133003).

It is a super-2 number, since 2×312431330002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31243133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133381 + ... + 1160619.

It is an arithmetic number, because the mean of its divisors is an integer number (605545200).

Almost surely, 231243133000 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 31243133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38754892800).

31243133000 is an abundant number, since it is smaller than the sum of its proper divisors (46266652600).

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

31243133000 is a wasteful number, since it uses less digits than its factorization.

31243133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27328 (or 27314 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31243133000 its reverse (33134213), we get a palindrome (31276267213).

The spelling of 31243133000 in words is "thirty-one billion, two hundred forty-three million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 37 40 50 62 74 100 124 125 148 155 185 200 248 250 296 310 370 500 620 740 775 925 1000 1147 1240 1480 1550 1850 2294 3100 3700 3875 4588 4625 5735 6200 7400 7750 9176 9250 11470 15500 18500 22940 27239 28675 31000 37000 45880 54478 57350 108956 114700 136195 143375 217912 229400 272390 286750 544780 573500 680975 844409 1007843 1089560 1147000 1361950 1688818 2015686 2723900 3377636 3404875 4031372 4222045 5039215 5447800 6755272 6809750 8062744 8444090 10078430 13619500 16888180 20156860 21110225 25196075 27239000 31243133 33776360 40313720 42220450 50392150 62486266 84440900 100784300 105551125 124972532 125980375 156215665 168881800 201568600 211102250 249945064 251960750 312431330 422204500 503921500 624862660 781078325 844409000 1007843000 1249725320 1562156650 3124313300 3905391625 6248626600 7810783250 15621566500 31243133000