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2113310241042 = 23711132411460027
BaseRepresentation
bin11110110000001011000…
…110110011000100010010
321111000211020001111101020
4132300023012303010102
5234111024410203132
64254501420420310
7305452540443030
oct36601306630422
97430736044336
102113310241042
1174528259aaa0
122a16a73a7696
131243907baa90
14743db557550
1539e8a9ec52c
hex1ec0b1b3112

2113310241042 has 128 divisors (see below), whose sum is σ = 5698454243328. Its totient is φ = 504584985600.

The previous prime is 2113310240981. The next prime is 2113310241043. The reversal of 2113310241042 is 2401420133112.

It is a super-2 number, since 2×21133102410422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113310241043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717433 + ... + 2177459.

It is an arithmetic number, because the mean of its divisors is an integer number (44519173776).

Almost surely, 22113310241042 is an apocalyptic number.

2113310241042 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 2113310241042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849227121664).

2113310241042 is an abundant number, since it is smaller than the sum of its proper divisors (3585144002286).

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

2113310241042 is a wasteful number, since it uses less digits than its factorization.

2113310241042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460304.

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

Adding to 2113310241042 its reverse (2401420133112), we get a palindrome (4514730374154).

The spelling of 2113310241042 in words is "two trillion, one hundred thirteen billion, three hundred ten million, two hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 241 273 286 429 462 482 546 723 858 1001 1446 1687 2002 2651 3003 3133 3374 5061 5302 6006 6266 7953 9399 10122 15906 18557 18798 21931 34463 37114 43862 55671 65793 68926 103389 111342 131586 206778 241241 482482 723723 1447446 1460027 2920054 4380081 8760162 10220189 16060297 18980351 20440378 30660567 32120594 37960702 48180891 56941053 61321134 96361782 112422079 113882106 132862457 208783861 224844158 265724914 337266237 351866507 398587371 417567722 626351583 674532474 703733014 797174742 1055599521 1252703166 1461487027 2111199042 2463065549 2922974054 3870531577 4384461081 4574264591 4926131098 7389196647 7741063154 8768922162 9148529182 11611594731 13722793773 14778393294 23223189462 27093721039 27445587546 32019852137 50316910501 54187442078 64039704274 81281163117 96059556411 100633821002 150950731503 162562326234 192119112822 301901463006 352218373507 704436747014 1056655120521 2113310241042