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10102201202002 = 27138315737911239
BaseRepresentation
bin1001001100000001101000…
…0111010011010101010010
31022202202112202211020120011
42103000122013103111102
52311003302001431002
633252515343305134
72061600651256330
oct223003207232522
938682482736504
1010102201202002
11324535723a828
121171a5a8ab1aa
135838309ca750
1426cd40660b50
15127bac5358d7
hex9301a1d3552

10102201202002 has 128 divisors (see below), whose sum is σ = 19046955110400. Its totient is φ = 3912476795136.

The previous prime is 10102201201987. The next prime is 10102201202017. The reversal of 10102201202002 is 20020210220101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102201201987) and next prime (10102201202017).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898846699 + ... + 898857937.

It is an arithmetic number, because the mean of its divisors is an integer number (148804336800).

Almost surely, 210102201202002 is an apocalyptic number.

10102201202002 is a deficient number, since it is larger than the sum of its proper divisors (8944753908398).

10102201202002 is a wasteful number, since it uses less digits than its factorization.

10102201202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10102201202002 its reverse (20020210220101), we get a palindrome (30122411422103).

The spelling of 10102201202002 in words is "ten trillion, one hundred two billion, two hundred one million, two hundred two thousand, two".

Divisors: 1 2 7 13 14 26 83 91 157 166 182 314 379 581 758 1079 1099 1162 2041 2158 2198 2653 4082 4927 5306 7553 9854 11239 13031 14287 15106 22478 26062 28574 31457 34489 59503 62914 68978 78673 91217 119006 146107 157346 169403 182434 220199 292214 338806 408941 416521 440398 773539 817882 833042 932837 1022749 1185821 1547078 1764523 1865674 2045498 2371642 2862587 3529046 4259581 4938749 5414773 5725174 6529859 8519162 9877498 10829546 12126881 12351661 13059718 22938799 24253762 24703322 29817067 34571243 45877598 55374553 59634134 64203737 69142486 84888167 110749106 128407474 146455409 160571593 169776334 292910818 321143186 353545223 387621871 449426159 668754217 707090446 775243742 898852318 1025187863 1337508434 1903920317 2050375726 2474816561 3807840634 4596087899 4681279519 4949633122 8693804821 9192175798 9362559038 13327442219 17387609642 26654884438 32172615293 55506600011 60856633747 64345230586 111013200022 121713267494 388546200077 721585800143 777092400154 1443171600286 5051100601001 10102201202002