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100022342411044 = 222919723331876109
BaseRepresentation
bin10110101111100001000100…
…001100000110001100100100
3111010011001011000111121102001
4112233201010030012030210
5101102231224124123134
6552421344010055044
730032242613406664
oct2657410414061444
9433131130447361
10100022342411044
1129963267794299
12b27500011a484
1343a70b2bc4b01
141a9b1702461a4
15b86c25ed8414
hex5af844306324

100022342411044 has 48 divisors (see below), whose sum is σ = 182072197969200. Its totient is φ = 48020920403456.

The previous prime is 100022342411003. The next prime is 100022342411077. The reversal of 100022342411044 is 440114243220001.

It can be written as a sum of positive squares in 8 ways, for example, as 35142001444 + 99987200409600 = 187462^2 + 9999360^2 .

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 15 ways as a sum of consecutive naturals, for example, 52375662 + ... + 54251770.

It is an arithmetic number, because the mean of its divisors is an integer number (3793170791025).

Almost surely, 2100022342411044 is an apocalyptic number.

It is an amenable number.

100022342411044 is a deficient number, since it is larger than the sum of its proper divisors (82049855558156).

100022342411044 is a wasteful number, since it uses less digits than its factorization.

100022342411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878672 (or 1878670 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 100022342411044 its reverse (440114243220001), we get a palindrome (540136585631045).

The spelling of 100022342411044 in words is "one hundred trillion, twenty-two billion, three hundred forty-two million, four hundred eleven thousand, forty-four".

Divisors: 1 2 4 29 58 116 197 394 788 2333 4666 5713 9332 11426 22852 67657 135314 270628 459601 919202 1838404 1876109 3752218 7504436 13328429 26656858 53313716 54407161 108814322 217628644 369593473 739186946 1478373892 4376962297 8753924594 10718210717 17507849188 21436421434 42872842868 126931906613 253863813226 507727626452 862261572509 1724523145018 3449046290036 25005585602761 50011171205522 100022342411044