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105102021107122 = 21322341488967447
BaseRepresentation
bin10111111001011011111000…
…101000100001110110110010
3111210010122200120010212200221
4113321123320220201312302
5102233442414400411442
61011311111341403254
731065241030044454
oct2771337050416662
9453118616125627
10105102021107122
1130541575a024a6
12b95558626952a
134685102674300
141bd4d71c0a2d4
15c23e288ac467
hex5f96f8a21db2

105102021107122 has 96 divisors (see below), whose sum is σ = 182520147882240. Its totient is φ = 45257927869440.

The previous prime is 105102021107033. The next prime is 105102021107137. The reversal of 105102021107122 is 221701120201501.

105102021107122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051020211071222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558256803 + ... + 1558324249.

It is an arithmetic number, because the mean of its divisors is an integer number (1901251540440).

Almost surely, 2105102021107122 is an apocalyptic number.

105102021107122 is a deficient number, since it is larger than the sum of its proper divisors (77418126775118).

105102021107122 is a wasteful number, since it uses less digits than its factorization.

105102021107122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72428 (or 72415 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 105102021107122 its reverse (221701120201501), we get a palindrome (326803141308623).

The spelling of 105102021107122 in words is "one hundred five trillion, one hundred two billion, twenty-one million, one hundred seven thousand, one hundred twenty-two".

Divisors: 1 2 13 23 26 41 46 82 169 299 338 533 598 943 1066 1886 3887 4889 6929 7774 9778 12259 13858 24518 63557 67447 112447 127114 134894 159367 200449 224894 318734 400898 826241 876811 1461811 1551281 1652482 1753622 2605837 2765327 2923622 3102562 4610327 5211674 5530654 9220654 11398543 19003543 20166653 22797086 33875881 35949251 38007086 40333306 59934251 63602521 67751762 71898502 119868502 127205042 262166489 329748383 467340263 524332978 659496766 779145263 826832773 934680526 1558290526 1653665546 4286728979 7584212809 8573457958 10748826049 13519683703 15168425618 21497652098 27039367406 55727476727 98594766517 111454953454 175755888139 197189533034 310952725169 351511776278 621905450338 1281731964721 2284826545807 2563463929442 4042385427197 4569653091614 8084770854394 52551010553561 105102021107122