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10101321223422 = 23112138811214849
BaseRepresentation
bin1001001011111110010110…
…1010011100110011111110
31022202200021102222200212220
42102333211222130303332
52311000001213122142
633252252150310210
72061540104466162
oct222774552346376
938680242880786
1010101321223422
113244a45542900
121171854058366
135837205c4170
1426cc99836ca2
15127b5a1612ec
hex92fe5a9ccfe

10101321223422 has 96 divisors (see below), whose sum is σ = 23941544608800. Its totient is φ = 2822334873600.

The previous prime is 10101321223421. The next prime is 10101321223423. The reversal of 10101321223422 is 22432212310101.

It is an interprime number because it is at equal distance from previous prime (10101321223421) and next prime (10101321223423).

It is a junction number, because it is equal to n+sod(n) for n = 10101321223392 and 10101321223401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101321223421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7707454 + ... + 8922302.

It is an arithmetic number, because the mean of its divisors is an integer number (249391089675).

Almost surely, 210101321223422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101321223422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970772304400).

10101321223422 is an abundant number, since it is smaller than the sum of its proper divisors (13840223385378).

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

10101321223422 is a wasteful number, since it uses less digits than its factorization.

10101321223422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215770 (or 1215759 counting only the distinct ones).

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

Adding to 10101321223422 its reverse (22432212310101), we get a palindrome (32533533533523).

The spelling of 10101321223422 in words is "ten trillion, one hundred one billion, three hundred twenty-one million, two hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 881 1573 1762 2643 3146 4719 5286 9438 9691 11453 19382 22906 29073 34359 58146 68718 106601 125983 213202 251966 319803 377949 639606 755898 1214849 1385813 2429698 2771626 3644547 4157439 7289094 8314878 13363339 15793037 26726678 31586074 40090017 47379111 80180034 94758222 146996729 173723407 293993458 347446814 440990187 521170221 881980374 1042340442 1070281969 1910957477 2140563938 3210845907 3821914954 5732872431 6421691814 11465744862 11773101659 13913665597 23546203318 27827331194 35319304977 41740996791 70638609954 83481993582 129504118249 153050321567 259008236498 306100643134 388512354747 459150964701 777024709494 918301929402 1683553537237 3367107074474 5050660611711 10101321223422