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103212102010212 = 223213220538679509
BaseRepresentation
bin10111011101111011110000…
…101011010100010101100100
3111112102222110211221022021200
4113131323300223110111210
5102012011341103311322
61003302552440242500
730511554050554056
oct2735736053242544
9445388424838250
10103212102010212
112a98300893a488
12b6ab244170430
134578b232c52b0
141b6b6c719d8d6
15bdebb4b588ac
hex5ddef0ad4564

103212102010212 has 36 divisors (see below), whose sum is σ = 280966277695740. Its totient is φ = 31757569849152.

The previous prime is 103212102010183. The next prime is 103212102010279. The reversal of 103212102010212 is 212010201212301.

103212102010212 is a `hidden beast` number, since 1 + 0 + 321 + 210 + 20 + 102 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32383315321956 + 70828786688256 = 5690634^2 + 8415984^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110269339287 + ... + 110269340222.

Almost surely, 2103212102010212 is an apocalyptic number.

103212102010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103212102010212 is an abundant number, since it is smaller than the sum of its proper divisors (177754175685528).

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

103212102010212 is a wasteful number, since it uses less digits than its factorization.

103212102010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220538679532 (or 220538679527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103212102010212 its reverse (212010201212301), we get a palindrome (315222303222513).

The spelling of 103212102010212 in words is "one hundred three trillion, two hundred twelve billion, one hundred two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 220538679509 441077359018 661616038527 882154718036 1323232077054 1984848115581 2646464154108 2867002833617 3969696231162 5734005667234 7939392462324 8601008500851 11468011334468 17202017001702 25803025502553 34404034003404 51606051005106 103212102010212