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100122201210200 = 235213112513422677
BaseRepresentation
bin10110110000111110000100…
…001111001011110101011000
3111010111120220100110012111212
4112300332010033023311120
5101110400232002211300
6552535300530442252
730042406324244141
oct2660760417136530
9433446810405455
10100122201210200
11299a1650448084
12b29042a733388
1343b3638396750
141aa1d2462cac8
15b8961cb30935
hex5b0f843cbd58

100122201210200 has 96 divisors (see below), whose sum is σ = 250712943292560. Its totient is φ = 36964900800000.

The previous prime is 100122201210197. The next prime is 100122201210209. The reversal of 100122201210200 is 2012102221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122201210209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27541262 + ... + 30963938.

Almost surely, 2100122201210200 is an apocalyptic number.

100122201210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122201210200 is an abundant number, since it is smaller than the sum of its proper divisors (150590742082360).

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

100122201210200 is a wasteful number, since it uses less digits than its factorization.

100122201210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433957 (or 3433948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100122201210200 its reverse (2012102221001), we get a palindrome (102134303431201).

The spelling of 100122201210200 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 11251 22502 45004 56255 90008 112510 146263 225020 281275 292526 450040 562550 585052 731315 1125100 1170104 1462630 2250200 2925260 3422677 3656575 5850520 6845354 7313150 13690708 14626300 17113385 27381416 29252600 34226770 44494801 68453540 85566925 88989602 136907080 171133850 177979204 222474005 342267700 355958408 444948010 684535400 889896020 1112370025 1779792040 2224740050 4449480100 8898960200 38508538927 77017077854 154034155708 192542694635 308068311416 385085389270 500611006051 770170778540 962713473175 1001222012102 1540341557080 1925426946350 2002444024204 2503055030255 3850853892700 4004888048408 5006110060510 7701707785400 10012220121020 12515275151275 20024440242040 25030550302550 50061100605100 100122201210200