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10212222120102 = 2323766372310331
BaseRepresentation
bin1001010010011011011111…
…0111110011000010100110
31100011021112022120222011200
42110212313313303002212
52314304112330320402
633415232521343330
72102544245531442
oct224466767630246
940137468528150
1010212222120102
113287a85177a22
12118b244637b46
1359101563c912
142743ba52b822
1512a99b3b121c
hex949b7df30a6

10212222120102 has 48 divisors (see below), whose sum is σ = 22727928015312. Its totient is φ = 3311571574080.

The previous prime is 10212222120077. The next prime is 10212222120109. The reversal of 10212222120102 is 20102122221201.

It is a happy number.

10212222120102 is a `hidden beast` number, since 10 + 212 + 222 + 120 + 102 = 666.

It is a super-3 number, since 3×102122221201023 (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 (10212222120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265077 + ... + 5575407.

It is an arithmetic number, because the mean of its divisors is an integer number (473498500319).

Almost surely, 210212222120102 is an apocalyptic number.

10212222120102 is an abundant number, since it is smaller than the sum of its proper divisors (12515705895210).

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

10212222120102 is a wasteful number, since it uses less digits than its factorization.

10212222120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317013 (or 2317010 counting only the distinct ones).

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

Adding to 10212222120102 its reverse (20102122221201), we get a palindrome (30314344341303).

The spelling of 10212222120102 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 6637 13274 19911 39822 59733 119466 245569 491138 736707 1473414 2210121 2310331 4420242 4620662 6930993 13861986 20792979 41585958 85482247 170964494 256446741 512893482 769340223 1538680446 15333666847 30667333694 46001000541 92002001082 138003001623 276006003246 567345673339 1134691346678 1702037020017 3404074040034 5106111060051 10212222120102