Search a number
-
+
311230112004 = 2232742111932459
BaseRepresentation
bin1001000011101101100…
…00101010000100000100
31002202100011100211022100
410201312300222010010
520044344402041004
6354551021232100
731325400205560
oct4416660520404
91082304324270
10311230112004
1110aaa03146a9
125039a402630
132346c6244b6
14110c67d26a0
158168554739
hex4876c2a104

311230112004 has 144 divisors (see below), whose sum is σ = 902367123840. Its totient is φ = 88601264640.

The previous prime is 311230112003. The next prime is 311230112021. The reversal of 311230112004 is 400211032113.

311230112004 is a `hidden beast` number, since 311 + 230 + 1 + 120 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311230112003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126566527 + ... + 126568985.

It is an arithmetic number, because the mean of its divisors is an integer number (6266438360).

Almost surely, 2311230112004 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 311230112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451183561920).

311230112004 is an abundant number, since it is smaller than the sum of its proper divisors (591137011836).

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

311230112004 is a wasteful number, since it uses less digits than its factorization.

311230112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311230112004 its reverse (400211032113), we get a palindrome (711441144117).

The spelling of 311230112004 in words is "three hundred eleven billion, two hundred thirty million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 421 842 1193 1263 1684 2386 2459 2526 2947 3579 3789 4772 4918 5052 5894 7158 7377 7578 8351 8841 9836 10737 11788 14316 14754 15156 16702 17213 17682 21474 22131 25053 26523 29508 33404 34426 35364 42948 44262 50106 51639 53046 68852 75159 88524 100212 103278 106092 150318 154917 206556 300636 309834 502253 619668 1004506 1035239 1506759 2009012 2070478 2933587 3013518 3105717 3515771 4140956 4520277 5867174 6027036 6211434 7031542 7246673 8800761 9040554 9317151 10547313 11734348 12422868 14063084 14493346 17601522 18081108 18634302 20535109 21094626 21740019 26402283 28986692 31641939 35203044 37268604 41070218 42189252 43480038 52804566 61605327 63283878 65220057 82140436 86960076 105609132 123210654 126567756 130440114 184815981 246421308 260880228 369631962 739263924 1235040127 2470080254 3705120381 4940160508 7410240762 8645280889 11115361143 14820481524 17290561778 22230722286 25935842667 34581123556 44461444572 51871685334 77807528001 103743370668 155615056002 311230112004