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102011013130212 = 223223123201706679
BaseRepresentation
bin10111001100011101001010…
…001100110110011111100100
3111101012011020220022100202100
4113030131022030312133210
5101332322023330131322
61000543113521212100
730326024000540544
oct2714351214663744
9441164226270670
10102011013130212
112a55a69a54376a
12b536501a91030
1344bc79c2511c4
141b295061cd324
15bbd819581dac
hex5cc74a3367e4

102011013130212 has 36 divisors (see below), whose sum is σ = 269072527389120. Its totient is φ = 32525250562992.

The previous prime is 102011013130207. The next prime is 102011013130217. The reversal of 102011013130212 is 212031310110201.

102011013130212 is a `hidden beast` number, since 10 + 20 + 110 + 1 + 313 + 0 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (102011013130207) and next prime (102011013130217).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102011013130217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61600852512 + ... + 61600854167.

It is an arithmetic number, because the mean of its divisors is an integer number (7474236871920).

Almost surely, 2102011013130212 is an apocalyptic number.

102011013130212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011013130212 is an abundant number, since it is smaller than the sum of its proper divisors (167061514258908).

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

102011013130212 is a wasteful number, since it uses less digits than its factorization.

102011013130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123201706712 (or 123201706707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102011013130212 its reverse (212031310110201), we get a palindrome (314042323240413).

The spelling of 102011013130212 in words is "one hundred two trillion, eleven billion, thirteen million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 123201706679 246403413358 369605120037 492806826716 739210240074 1108815360111 1478420480148 2217630720222 2833639253617 4435261440444 5667278507234 8500917760851 11334557014468 17001835521702 25502753282553 34003671043404 51005506565106 102011013130212