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4310212242 = 2374367179199
BaseRepresentation
bin1000000001110100…
…01001111010010010
3102010101102110122110
410000322021322102
532311403242432
61551410450150
7211545125310
oct40072117222
912111373573
104310212242
111912003286
12a03593956
13538c8685b
142cc6250b0
151a35eedcc
hex100e89e92

4310212242 has 128 divisors (see below), whose sum is σ = 10340352000. Its totient is φ = 1172356416.

The previous prime is 4310212183. The next prime is 4310212253. The reversal of 4310212242 is 2422120134.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21659259 + ... + 21659457.

It is an arithmetic number, because the mean of its divisors is an integer number (80784000).

Almost surely, 24310212242 is an apocalyptic number.

4310212242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4310212242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170176000).

4310212242 is an abundant number, since it is smaller than the sum of its proper divisors (6030139758).

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

4310212242 is a wasteful number, since it uses less digits than its factorization.

4310212242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4310212242 is about 65652.2066803546. The cubic root of 4310212242 is about 1627.4196369483.

Adding to 4310212242 its reverse (2422120134), we get a palindrome (6732332376).

The spelling of 4310212242 in words is "four billion, three hundred ten million, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 67 86 129 134 179 199 201 258 301 358 398 402 469 537 597 602 903 938 1074 1194 1253 1393 1407 1806 2506 2786 2814 2881 3759 4179 5762 7518 7697 8358 8557 8643 11993 13333 15394 17114 17286 20167 23091 23986 25671 26666 35621 35979 39999 40334 46182 51342 53879 59899 60501 71242 71958 79998 83951 93331 106863 107758 119798 121002 161637 167902 179697 186662 213726 249347 251853 279993 323274 359394 498694 503706 515699 559986 573319 748041 1031398 1146638 1496082 1531703 1547097 1719957 2386607 3063406 3094194 3439914 3609893 4013233 4595109 4773214 7159821 7219786 8026466 9190218 10721921 10829679 12039699 14319642 16706249 21443842 21659358 24079398 32165763 33412498 50118747 64331526 100237494 102624101 205248202 307872303 615744606 718368707 1436737414 2155106121 4310212242