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101210112220212 = 223210127835564417
BaseRepresentation
bin10111000000110011010000…
…110010010101110000110100
3111021100120222201221122120200
4113000303100302111300310
5101231211302212021322
6555131141135200500
730214121634250002
oct2700632062256064
9437316881848520
10101210112220212
112a280a70895a56
12b427245976130
1344620c374cbb8
141adc84a351a72
15ba7a921338ac
hex5c0cd0c95c34

101210112220212 has 36 divisors (see below), whose sum is σ = 258369708927876. Its totient is φ = 33402677299200.

The previous prime is 101210112220207. The next prime is 101210112220237. The reversal of 101210112220212 is 212022211012101.

101210112220212 is a `hidden beast` number, since 1 + 0 + 121 + 0 + 112 + 220 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66637899545616 + 34572212674596 = 8163204^2 + 5879814^2 .

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

It is a super-3 number, since 3×1012101122202123 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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, 13917778573 + ... + 13917785844.

Almost surely, 2101210112220212 is an apocalyptic number.

101210112220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210112220212 is an abundant number, since it is smaller than the sum of its proper divisors (157159596707664).

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

101210112220212 is a wasteful number, since it uses less digits than its factorization.

101210112220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27835564528 (or 27835564523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101210112220212 its reverse (212022211012101), we get a palindrome (313232323232313).

The spelling of 101210112220212 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 27835564417 55671128834 83506693251 111342257668 167013386502 250520079753 334026773004 501040159506 1002080319012 2811392006117 5622784012234 8434176018351 11245568024468 16868352036702 25302528055053 33736704073404 50605056110106 101210112220212