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10212224000004 = 22321324190543533
BaseRepresentation
bin1001010010011011011111…
…1110111110000000000100
31100011021112110010110220200
42110212313332332000010
52314304113321000004
633415233025530500
72102544300521265
oct224466776760004
940137473113820
1010212224000004
113287a86241364
12118b2451a3a30
13591015b4a4a0
142743ba89a96c
1512a99b633239
hex949b7fbe004

10212224000004 has 72 divisors (see below), whose sum is σ = 27915295880472. Its totient is φ = 3129184465920.

The previous prime is 10212223999997. The next prime is 10212224000029. The reversal of 10212224000004 is 40000042221201.

10212224000004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3625825305600 + 6586398694404 = 1904160^2 + 2566398^2 .

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 23 ways as a sum of consecutive naturals, for example, 45158979 + ... + 45384554.

Almost surely, 210212224000004 is an apocalyptic number.

It is an amenable number.

10212224000004 is an abundant number, since it is smaller than the sum of its proper divisors (17703071880468).

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

10212224000004 is a wasteful number, since it uses less digits than its factorization.

10212224000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90543797 (or 90543792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10212224000004 its reverse (40000042221201), we get a palindrome (50212266221205).

The spelling of 10212224000004 in words is "ten trillion, two hundred twelve billion, two hundred twenty-four million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 723 964 1446 2169 2892 3133 4338 6266 8676 9399 12532 18798 28197 37596 56394 112788 90543533 181087066 271630599 362174132 543261198 814891797 1086522396 1177065929 1629783594 2354131858 3259567188 3531197787 4708263716 7062395574 10593593361 14124791148 21187186722 21820991453 42374373444 43641982906 65462974359 87283965812 130925948718 196388923077 261851897436 283672888889 392777846154 567345777778 785555692308 851018666667 1134691555556 1702037333334 2553056000001 3404074666668 5106112000002 10212224000004