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10212202212102 = 23211198432599243
BaseRepresentation
bin1001010010011011011010…
…1011110110101100000110
31100011021110221010112112100
42110212312223312230012
52314304042231241402
633415230530532530
72102543614364562
oct224466653665406
940137427115470
1010212202212102
113287a74a0a830
12118b239a37146
1359101148c337
142743b7a286a2
1512a99977c71c
hex949b6af6b06

10212202212102 has 48 divisors (see below), whose sum is σ = 24139158234048. Its totient is φ = 3094449585840.

The previous prime is 10212202212101. The next prime is 10212202212119. The reversal of 10212202212102 is 20121220221201.

It is a happy number.

10212202212102 is a `hidden beast` number, since 1 + 0 + 212 + 20 + 221 + 210 + 2 = 666.

It is a super-3 number, since 3×102122022121023 (a number of 40 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 not an unprimeable number, because it can be changed into a prime (10212202212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2629293 + ... + 5228535.

It is an arithmetic number, because the mean of its divisors is an integer number (502899129876).

Almost surely, 210212202212102 is an apocalyptic number.

10212202212102 is an abundant number, since it is smaller than the sum of its proper divisors (13926956021946).

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

10212202212102 is a wasteful number, since it uses less digits than its factorization.

10212202212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619105 (or 2619102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212202212102 its reverse (20121220221201), we get a palindrome (30333422433303).

The spelling of 10212202212102 in words is "ten trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 19843 39686 59529 119058 178587 218273 357174 436546 654819 1309638 1964457 2599243 3928914 5198486 7797729 15595458 23393187 28591673 46786374 57183346 85775019 171550038 257325057 514650114 51576778849 103153557698 154730336547 309460673094 464191009641 567344567339 928382019282 1134689134678 1702033702017 3404067404034 5106101106051 10212202212102