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102222011200212 = 223282921799157127
BaseRepresentation
bin10111001111100001101010…
…101010100111001011010100
3111101221022212201101220000200
4113033201222222213023110
5101344301134331401322
61001224051010140500
730350203505541561
oct2717415252471324
9441838781356020
10102222011200212
112a631125444712
12b56b388881730
134506656c703b7
141b35800bdb868
15bc40683138ac
hex5cf86aaa72d4

102222011200212 has 72 divisors (see below), whose sum is σ = 258719736912000. Its totient is φ = 34031123396928.

The previous prime is 102222011200187. The next prime is 102222011200213. The reversal of 102222011200212 is 212002110222201.

It is a happy number.

102222011200212 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 11 + 200 + 212 = 666.

102222011200212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (102222011200213) 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, 650490793 + ... + 650647919.

Almost surely, 2102222011200212 is an apocalyptic number.

102222011200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222011200212 is an abundant number, since it is smaller than the sum of its proper divisors (156497725711788).

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

102222011200212 is a wasteful number, since it uses less digits than its factorization.

102222011200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179765 (or 179760 counting only the distinct ones).

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

Adding to 102222011200212 its reverse (212002110222201), we get a palindrome (314224121422413).

The spelling of 102222011200212 in words is "one hundred two trillion, two hundred twenty-two billion, eleven million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 829 1658 2487 3316 4974 7461 9948 14922 21799 29844 43598 65397 87196 130794 157127 196191 261588 314254 392382 471381 628508 784764 942762 1414143 1885524 2828286 5656572 18071371 36142742 54214113 72285484 108428226 130258283 162642339 216856452 260516566 325284678 390774849 521033132 650569356 781549698 1172324547 1563099396 2344649094 3425211473 4689298188 6850422946 10275634419 13700845892 20551268838 30826903257 41102537676 61653806514 123307613028 2839500311117 5679000622234 8518500933351 11358001244468 17037001866702 25555502800053 34074003733404 51111005600106 102222011200212