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243131034104 = 237193114715011
BaseRepresentation
bin1110001001101110111…
…1010010100111111000
3212020120012221020022222
43202123233102213320
512440413021042404
6303405353503212
723365004456060
oct3423357224770
9766505836288
10243131034104
1194125148532
123b154111b08
1319c08c7432a
14baa64443a0
1564cec84dbe
hex389bbd29f8

243131034104 has 128 divisors (see below), whose sum is σ = 566604595200. Its totient is φ = 95446512000.

The previous prime is 243131034101. The next prime is 243131034137. The reversal of 243131034104 is 401430131342.

It is a happy number.

It is a super-2 number, since 2×2431310341042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243131034101) 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, 48516959 + ... + 48521969.

It is an arithmetic number, because the mean of its divisors is an integer number (4426598400).

Almost surely, 2243131034104 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 243131034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283302297600).

243131034104 is an abundant number, since it is smaller than the sum of its proper divisors (323473561096).

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

243131034104 is a wasteful number, since it uses less digits than its factorization.

243131034104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 243131034104 its reverse (401430131342), we get a palindrome (644561165446).

The spelling of 243131034104 in words is "two hundred forty-three billion, one hundred thirty-one million, thirty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1471 1736 2356 2942 4123 4712 5011 5884 8246 10022 10297 11768 16492 20044 20594 27949 32984 35077 40088 41188 45601 55898 70154 82376 91202 95209 111796 140308 155341 182404 190418 195643 223592 280616 310682 319207 364808 380836 391286 621364 638414 666463 761672 782572 866419 1087387 1242728 1276828 1332926 1565144 1732838 2174774 2553656 2665852 2951479 3465676 4349548 5331704 5902958 6064933 6931352 7371181 8699096 11805916 12129866 14742362 20660353 23611832 24259732 29484724 41320706 48519464 51598267 58969448 82641412 103196534 140052439 165282824 206393068 228506611 280104878 412786136 457013222 560209756 914026444 980367073 1120419512 1599546277 1828052888 1960734146 3199092554 3921468292 4341625609 6398185108 7842936584 8683251218 12796370216 17366502436 30391379263 34733004872 60782758526 121565517052 243131034104