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102202222010200 = 23521324173749619
BaseRepresentation
bin10111001111001111001111…
…001000110101111101011000
3111101212102210120112212201021
4113033033033020311331120
5101343440122313311300
61001211015211132224
730345603223314214
oct2717171710657530
9441772716485637
10102202222010200
112a62379aa11324
12b567585444074
134504822166200
141b3488490d944
15bc37aad39d1a
hex5cf3cf235f58

102202222010200 has 144 divisors (see below), whose sum is σ = 263580404383800. Its totient is φ = 36815809305600.

The previous prime is 102202222010197. The next prime is 102202222010201. The reversal of 102202222010200 is 2010222202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202222010201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35489010 + ... + 38260609.

Almost surely, 2102202222010200 is an apocalyptic number.

102202222010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202222010200 is an abundant number, since it is smaller than the sum of its proper divisors (161378182373600).

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

102202222010200 is a wasteful number, since it uses less digits than its factorization.

102202222010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73749702 (or 73749680 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102202222010200 its reverse (2010222202201), we get a palindrome (104212444212401).

The spelling of 102202222010200 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 169 200 205 260 325 328 338 410 520 533 650 676 820 845 1025 1066 1300 1352 1640 1690 2050 2132 2600 2665 3380 4100 4225 4264 5330 6760 6929 8200 8450 10660 13325 13858 16900 21320 26650 27716 33800 34645 53300 55432 69290 106600 138580 173225 277160 346450 692900 1385800 73749619 147499238 294998476 368748095 589996952 737496190 958745047 1474992380 1843740475 1917490094 2949984760 3023734379 3687480950 3834980188 4793725235 6047468758 7374961900 7669960376 9587450470 12094937516 12463685611 14749923800 15118671895 19174900940 23968626175 24189875032 24927371222 30237343790 38349801880 39308546927 47937252350 49854742444 60474687580 62318428055 75593359475 78617093854 95874504700 99709484888 120949375160 124636856110 151186718950 157234187708 191749009400 196542734635 249273712220 302373437900 311592140275 314468375416 393085469270 498547424440 511011110051 604746875800 623184280550 786170938540 982713673175 1022022220102 1246368561100 1572341877080 1965427346350 2044044440204 2492737122200 2555055550255 3930854692700 4088088880408 5110111100510 7861709385400 10220222201020 12775277751275 20440444402040 25550555502550 51101111005100 102202222010200