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2310004233042 = 23112331239205391
BaseRepresentation
bin100001100111010110111…
…110110101001101010010
322011211112011111120110220
4201213112332311031102
5300321342040424132
64525111251333510
7325615026002532
oct41472676651522
98154464446426
102310004233042
11810738193480
1231383b8b1296
13139aa8c030ac
147db3a5374c2
154014dad3a2c
hex219d6fb5352

2310004233042 has 128 divisors (see below), whose sum is σ = 5451530895360. Its totient is φ = 645253224000.

The previous prime is 2310004232953. The next prime is 2310004233077. The reversal of 2310004233042 is 2403324000132.

It is a super-2 number, since 2×23100042330422 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11144167 + ... + 11349557.

It is an arithmetic number, because the mean of its divisors is an integer number (42590085120).

Almost surely, 22310004233042 is an apocalyptic number.

2310004233042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2310004233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725765447680).

2310004233042 is an abundant number, since it is smaller than the sum of its proper divisors (3141526662318).

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

2310004233042 is a wasteful number, since it uses less digits than its factorization.

2310004233042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205700.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2310004233042 its reverse (2403324000132), we get a palindrome (4713328233174).

The spelling of 2310004233042 in words is "two trillion, three hundred ten billion, four million, two hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 239 253 341 478 506 682 713 717 759 1023 1426 1434 1518 2046 2139 2629 4278 5258 5497 7409 7843 7887 10994 14818 15686 15774 16491 22227 23529 32982 44454 47058 60467 81499 120934 162998 170407 181401 205391 244497 340814 362802 410782 488994 511221 616173 1022442 1232346 1874477 2259301 3748954 4518602 4723993 5623431 6367121 6777903 9447986 11246862 12734242 13555806 14171979 19101363 28343958 38202726 49088449 51963923 70038331 98176898 103927846 140076662 146443783 147265347 155891769 210114993 292887566 294530694 311783538 420229986 439331349 539972939 878662698 1079945878 1129034327 1521741919 1610881613 1619918817 2258068654 3043483838 3221763226 3239837634 3387102981 4565225757 4832644839 6774205962 9130451514 9665289678 12419377597 16739161109 24838755194 33478322218 35000064137 37258132791 50217483327 70000128274 74516265582 100434966654 105000192411 210000384822 385000705507 770001411014 1155002116521 2310004233042