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2203113220242 = 231159738393377
BaseRepresentation
bin100000000011110011110…
…001111110100010010010
321210121121202012111202220
4200003303301332202102
5242043433441021432
64404032442121510
7315112125250644
oct40036361764222
97717552174686
102203113220242
1177a375a83480
122b6b8a1b0296
1312c9a2859aac
14788ba20a894
153c49490c72c
hex200f3c7e892

2203113220242 has 128 divisors (see below), whose sum is σ = 5014981278720. Its totient is φ = 639498608640.

The previous prime is 2203113220237. The next prime is 2203113220261. The reversal of 2203113220242 is 2420223113022.

It is a super-2 number, since 2×22031132202422 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23547058 + ... + 23640434.

It is an arithmetic number, because the mean of its divisors is an integer number (39179541240).

Almost surely, 22203113220242 is an apocalyptic number.

2203113220242 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 2203113220242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507490639360).

2203113220242 is an abundant number, since it is smaller than the sum of its proper divisors (2811868058478).

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

2203113220242 is a wasteful number, since it uses less digits than its factorization.

2203113220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93608.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2203113220242 its reverse (2420223113022), we get a palindrome (4623336333264).

The spelling of 2203113220242 in words is "two trillion, two hundred three billion, one hundred thirteen million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 73 83 118 146 166 177 219 249 354 438 498 649 803 913 1298 1606 1826 1947 2409 2739 3894 4307 4818 4897 5478 6059 8614 9794 12118 12921 14691 18177 25842 29382 36354 47377 53867 66649 93377 94754 107734 133298 142131 161601 186754 199947 280131 284262 323202 357481 399894 560262 714962 1027147 1072443 2054294 2144886 3081441 3932291 5509243 6162882 6816521 7750291 7864582 11018486 11796873 13633042 15500582 16527729 20449563 23250873 23593746 33055458 40899126 46501746 60601673 74981731 85253201 121203346 149963462 170506402 181805019 224945193 255759603 363610038 402174739 449890386 457267169 511519206 565771243 804349478 914534338 1131542486 1206524217 1371801507 1697313729 2413048434 2743603014 3394627458 4423922129 5029938859 6223483673 8847844258 10059877718 12446967346 13271766387 15089816577 18670451019 26543532774 30179633154 33380503337 37340902038 66761006674 100141510011 200283020022 367185536707 734371073414 1101556610121 2203113220242