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102012101211012 = 223151163345386927
BaseRepresentation
bin10111001100011110001011…
…000011100011001110000100
3111101012021001201201121000020
4113030132023003203032010
5101332331240402223022
61000543413510415140
730326062652222016
oct2714361303431604
9441167051647006
10102012101211012
112a5600a87579a3
12b5367663614b0
1344bc9137ba8b5
141b295aa9081b6
15bbd87ed6135c
hex5cc78b0e3384

102012101211012 has 48 divisors (see below), whose sum is σ = 241074549553152. Its totient is φ = 33571609207200.

The previous prime is 102012101211011. The next prime is 102012101211037. The reversal of 102012101211012 is 210112101210201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102012101210982 and 102012101211000.

It is not an unprimeable number, because it can be changed into a prime (102012101211011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172398108 + ... + 172988819.

It is an arithmetic number, because the mean of its divisors is an integer number (5022386449024).

Almost surely, 2102012101211012 is an apocalyptic number.

102012101211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102012101211012 is an abundant number, since it is smaller than the sum of its proper divisors (139062448342140).

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

102012101211012 is a wasteful number, since it uses less digits than its factorization.

102012101211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345387248 (or 345387246 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102012101211012 its reverse (210112101210201), we get a palindrome (312124202421213).

The spelling of 102012101211012 in words is "one hundred two trillion, twelve billion, one hundred one million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 151 163 302 326 453 489 604 652 906 978 1812 1956 24613 49226 73839 98452 147678 295356 345386927 690773854 1036160781 1381547708 2072321562 4144643124 52153425977 56298069101 104306851954 112596138202 156460277931 168894207303 208613703908 225192276404 312920555862 337788414606 625841111724 675576829212 8501008434251 17002016868502 25503025302753 34004033737004 51006050605506 102012101211012