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122644050116 = 22743317383839
BaseRepresentation
bin111001000111000100…
…1111011000011000100
3102201120021102021101112
41302032021323003010
54002133334100431
6132201503344152
711601143140220
oct1621611730304
9381507367345
10122644050116
1148016407105
121b9292b2058
13b746c11473
145d16573780
1532cc187c2b
hex1c8e27b0c4

122644050116 has 96 divisors (see below), whose sum is σ = 252742533120. Its totient is φ = 50982954624.

The previous prime is 122644050083. The next prime is 122644050121. The reversal of 122644050116 is 611050446221.

It is a super-2 number, since 2×1226440501162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146178425 + ... + 146179263.

It is an arithmetic number, because the mean of its divisors is an integer number (2632734720).

Almost surely, 2122644050116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122644050116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126371266560).

122644050116 is an abundant number, since it is smaller than the sum of its proper divisors (130098483004).

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

122644050116 is a wasteful number, since it uses less digits than its factorization.

122644050116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 122644050116 its reverse (611050446221), we get a palindrome (733694496337).

The spelling of 122644050116 in words is "one hundred twenty-two billion, six hundred forty-four million, fifty thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 43 86 172 301 317 383 602 634 766 839 1204 1268 1532 1678 2219 2681 3356 4438 5362 5873 8876 10724 11746 13631 16469 23492 27262 32938 36077 54524 65876 72154 95417 115283 121411 144308 190834 230566 242822 252539 265963 321337 381668 461132 485644 505078 531926 642674 849877 1010156 1063852 1285348 1699754 1861741 2249359 3399508 3723482 4498718 5220673 7446964 8997436 10441346 11436409 13817491 20882692 22872818 27634982 36544711 45745636 55269964 73089422 80054863 96722437 101863829 146178844 160109726 193444874 203727658 320219452 386889748 407455316 713046803 1426093606 2852187212 4380144647 8760289294 17520578588 30661012529 61322025058 122644050116