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122102010022200 = 233521315654103849
BaseRepresentation
bin11011110000110100010110…
…111011110000100100111000
3121000022211122000110221020220
4123300310112323300210320
5112001004404031202300
61111404520010420040
734501402430443605
oct3360642673604470
9530284560427226
10122102010022200
11359a619851256a
1211840230131620
135319229a46810
142221aa98c76ac
15e1b24805eda0
hex6f0d16ef0938

122102010022200 has 96 divisors (see below), whose sum is σ = 407632864254000. Its totient is φ = 30055879388160.

The previous prime is 122102010022193. The next prime is 122102010022217. The reversal of 122102010022200 is 2220010201221.

It is a super-2 number, since 2×1221020100222002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122102010022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7827044125 + ... + 7827059724.

Almost surely, 2122102010022200 is an apocalyptic number.

122102010022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102010022200 is an abundant number, since it is smaller than the sum of its proper divisors (285530854231800).

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

122102010022200 is a wasteful number, since it uses less digits than its factorization.

122102010022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654103881 (or 15654103872 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102010022200 its reverse (2220010201221), we get a palindrome (124322020223421).

The spelling of 122102010022200 in words is "one hundred twenty-two trillion, one hundred two billion, ten million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 15654103849 31308207698 46962311547 62616415396 78270519245 93924623094 125232830792 156541038490 187849246188 203503350037 234811557735 313082076980 375698492376 391352596225 407006700074 469623115470 610510050111 626164153960 782705192450 814013400148 939246230940 1017516750185 1174057788675 1221020100222 1565410384900 1628026800296 1878492461880 2035033500370 2348115577350 2442040200444 3052550250555 3130820769800 4070067000740 4696231154700 4884080400888 5087583750925 6105100501110 8140134001480 9392462309400 10175167501850 12210201002220 15262751252775 20350335003700 24420402004440 30525502505550 40700670007400 61051005011100 122102010022200