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102201011010 = 2335761886469
BaseRepresentation
bin101111100101110100…
…1111010101101000010
3100202210120020021202000
41133023221322231002
53133301424323020
6114541150204430
710245431155140
oct1371351725502
9322716207660
10102201011010
113a38589626a
1217982ab3716
139839806317
144d374c2590
1529d25a6090
hex17cba7ab42

102201011010 has 128 divisors (see below), whose sum is σ = 316576166400. Its totient is φ = 22977250560.

The previous prime is 102201010979. The next prime is 102201011041. The reversal of 102201011010 is 10110102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102201010979) and next prime (102201011041).

It is a super-2 number, since 2×1022010110102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102201010983 and 102201011001.

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, 327945 + ... + 558524.

It is an arithmetic number, because the mean of its divisors is an integer number (2473251300).

Almost surely, 2102201011010 is an apocalyptic number.

102201011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201011010 is an abundant number, since it is smaller than the sum of its proper divisors (214375155390).

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

102201011010 is a wasteful number, since it uses less digits than its factorization.

102201011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886553 (or 886547 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102201011010 its reverse (10110102201), we get a palindrome (112311113211).

The spelling of 102201011010 in words is "one hundred two billion, two hundred one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 378 427 549 610 630 854 915 945 1098 1281 1647 1830 1890 2135 2562 2745 3294 3843 4270 5490 6405 7686 8235 11529 12810 16470 19215 23058 38430 57645 115290 886469 1772938 2659407 4432345 5318814 6205283 7978221 8864690 12410566 13297035 15956442 18615849 23934663 26594070 31026415 37231698 39891105 47869326 54074609 55847547 62052830 79782210 93079245 108149218 111695094 119673315 162223827 167542641 186158490 239346630 270373045 279237735 324447654 335085282 378522263 486671481 540746090 558475470 757044526 811119135 837713205 973342962 1135566789 1460014443 1622238270 1675426410 1892611315 2271133578 2433357405 2920028886 3406700367 3785222630 4866714810 5677833945 6813400734 7300072215 10220101101 11355667890 14600144430 17033501835 20440202202 34067003670 51100505505 102201011010