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102102210012 = 2231122310873191
BaseRepresentation
bin101111100010111000…
…1000001010111011100
3100202112200022200020210
41133011301001113130
53133101131210022
6114523300412420
710243121315445
oct1370561012734
9322480280223
10102102210012
113a335043650
12179559a7110
1398221c24aa
144d283242cc
1529c8a8ba0c
hex17c5c415dc

102102210012 has 96 divisors (see below), whose sum is σ = 261384044544. Its totient is φ = 30763339200.

The previous prime is 102102209971. The next prime is 102102210017. The reversal of 102102210012 is 210012201201.

It is a super-2 number, since 2×1021022100122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102102210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31995337 + ... + 31998527.

It is an arithmetic number, because the mean of its divisors is an integer number (2722750464).

Almost surely, 2102102210012 is an apocalyptic number.

102102210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130692022272).

102102210012 is an abundant number, since it is smaller than the sum of its proper divisors (159281834532).

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

102102210012 is a wasteful number, since it uses less digits than its factorization.

102102210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102210012 its reverse (210012201201), we get a palindrome (312114411213).

It can be divided in two parts, 10210 and 2210012, that added together give a palindrome (2220222).

The spelling of 102102210012 in words is "one hundred two billion, one hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1087 1338 2174 2453 2676 3191 3261 4348 4906 6382 6522 7359 9573 9812 11957 12764 13044 14718 19146 23914 29436 35101 35871 38292 47828 70202 71742 105303 140404 143484 210606 242401 421212 484802 711593 727203 969604 1423186 1454406 2134779 2666411 2846372 2908812 3468617 4269558 5332822 6937234 7827523 7999233 8539116 10405851 10665644 13874468 15655046 15998466 20811702 23482569 31310092 31996932 38154787 41623404 46965138 76309574 93930276 114464361 152619148 228928722 457857444 773501591 1547003182 2320504773 3094006364 4641009546 8508517501 9282019092 17017035002 25525552503 34034070004 51051105006 102102210012