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310124112342 = 231137223314731
BaseRepresentation
bin1001000001101001101…
…01100110100111010110
31002122111002020012222220
410200310311212213112
520040113233043332
6354245152003210
731256110314012
oct4406465464726
91078432205886
10310124112342
1110a582a817a0
125012bb30506
1323324452a25
141101d971542
1581013d5d2c
hex4834d669d6

310124112342 has 96 divisors (see below), whose sum is σ = 698448127104. Its totient is φ = 91038470400.

The previous prime is 310124112283. The next prime is 310124112349. The reversal of 310124112342 is 243211421013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310124112349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21045117 + ... + 21059847.

It is an arithmetic number, because the mean of its divisors is an integer number (7275501324).

Almost surely, 2310124112342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310124112342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349224063552).

310124112342 is an abundant number, since it is smaller than the sum of its proper divisors (388324014762).

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

310124112342 is a wasteful number, since it uses less digits than its factorization.

310124112342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15054 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 310124112342 its reverse (243211421013), we get a palindrome (553335533355).

The spelling of 310124112342 in words is "three hundred ten billion, one hundred twenty-four million, one hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 233 407 466 699 814 1221 1369 1398 2442 2563 2738 4107 5126 7689 8214 8621 14731 15059 15378 17242 25863 29462 30118 44193 45177 51726 88386 90354 94831 162041 189662 284493 318977 324082 486123 545047 568986 637954 956931 972246 1090094 1635141 1913862 3270282 3432323 3508747 5995517 6864646 7017494 10296969 10526241 11991034 17986551 20166739 20593938 21052482 35973102 37755553 40333478 60500217 75511106 113266659 121000434 126995951 221834129 226533318 253991902 380987853 443668258 665502387 761975706 1331004774 1396955461 2793910922 4190866383 4698850187 8381732766 9397700374 14096550561 28193101122 51687352057 103374704114 155062056171 310124112342