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20443111134402 = 23113774897111773
BaseRepresentation
bin1001010010111110010000…
…11000001001010011000010
32200101100020120020102020010
410221133020120021103002
510134414442422300102
6111251234031325350
74206652231354245
oct451371030112302
980340216212203
1020443111134402
116571969314830
122362018680856
13b53a143ca658
14509647c8325c
15256b8b45dd6c
hex1297c86094c2

20443111134402 has 64 divisors (see below), whose sum is σ = 45809663612544. Its totient is φ = 6027318512640.

The previous prime is 20443111134379. The next prime is 20443111134409.

It is a happy number.

20443111134402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×204431111344022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20443111134402.

It is not an unprimeable number, because it can be changed into a prime (20443111134409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182842588 + ... + 182954360.

It is an arithmetic number, because the mean of its divisors is an integer number (715775993946).

Almost surely, 220443111134402 is an apocalyptic number.

20443111134402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20443111134402 is an abundant number, since it is smaller than the sum of its proper divisors (25366552478142).

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

20443111134402 is a wasteful number, since it uses less digits than its factorization.

20443111134402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186723.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 2044311 and 1134402, that added together give a palindrome (3178713).

The spelling of 20443111134402 in words is "twenty trillion, four hundred forty-three billion, one hundred eleven million, one hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 74897 111773 149794 223546 224691 335319 449382 670638 823867 1229503 1647734 2459006 2471601 2771189 3688509 4135601 4943202 5542378 7377018 8271202 8313567 12406803 16627134 24813606 30483079 45491611 60966158 90983222 91449237 136474833 182898474 272949666 8371462381 16742924762 25114387143 50228774286 92086086191 184172172382 276258258573 309744108097 552516517146 619488216194 929232324291 1858464648582 3407185189067 6814370378134 10221555567201 20443111134402