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42310301100 = 223522910944617
BaseRepresentation
bin100111011001111000…
…111111010110101100
311001012200021222210220
4213121320333112230
51143122414113400
631234224331340
73025326424344
oct473170772654
9131180258726
1042310301100
1116a420754a1
128249773b50
133cb38c3332
14209535bd24
1511797407a0
hex9d9e3f5ac

42310301100 has 144 divisors (see below), whose sum is σ = 127803799200. Its totient is φ = 10793502720.

The previous prime is 42310301041. The next prime is 42310301101. The reversal of 42310301100 is 110301324.

It is a super-2 number, since 2×423103011002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42310301100.

It is not an unprimeable number, because it can be changed into a prime (42310301101) 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, 925992 + ... + 970608.

Almost surely, 242310301100 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 42310301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63901899600).

42310301100 is an abundant number, since it is smaller than the sum of its proper divisors (85493498100).

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

42310301100 is a wasteful number, since it uses less digits than its factorization.

42310301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44772 (or 44765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 42310301100 its reverse (110301324), we get a palindrome (42420602424).

The spelling of 42310301100 in words is "forty-two billion, three hundred ten million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 109 116 145 150 174 218 290 300 327 348 435 436 545 580 654 725 870 1090 1308 1450 1635 1740 2175 2180 2725 2900 3161 3270 4350 5450 6322 6540 8175 8700 9483 10900 12644 15805 16350 18966 31610 32700 37932 44617 47415 63220 79025 89234 94830 133851 158050 178468 189660 223085 237075 267702 316100 446170 474150 535404 669255 892340 948300 1115425 1293893 1338510 2230850 2587786 2677020 3346275 3881679 4461700 4863253 5175572 6469465 6692550 7763358 9726506 12938930 13385100 14589759 15526716 19408395 19453012 24316265 25877860 29179518 32347325 38816790 48632530 58359036 64694650 72948795 77633580 97041975 97265060 121581325 129389300 141034337 145897590 194083950 243162650 282068674 291795180 364743975 388167900 423103011 486325300 564137348 705171685 729487950 846206022 1410343370 1458975900 1692412044 2115515055 2820686740 3525858425 4231030110 7051716850 8462060220 10577575275 14103433700 21155150550 42310301100