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122231132600107 = 291131972833671823
BaseRepresentation
bin11011110010101100100111…
…001111010011011100101011
3121000210011220210101112001011
4123302230213033103130223
5112010113324421200412
61111544112423404351
734513623261316216
oct3362544717233453
9530704823345034
10122231132600107
1135a45a28880473
1211861266bb36b7
135328466bcb57b
14222803863277d
15e1e7a3d567a7
hex6f2b273d372b

122231132600107 has 64 divisors (see below), whose sum is σ = 129086934958080. Its totient is φ = 115587452381184.

The previous prime is 122231132600011. The next prime is 122231132600131. The reversal of 122231132600107 is 701006231132221.

It is a cyclic number.

It is not a de Polignac number, because 122231132600107 - 223 = 122231124211499 is a prime.

It is a super-2 number, since 2×1222311326001072 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122231132600147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67049440998 + ... + 67049442820.

It is an arithmetic number, because the mean of its divisors is an integer number (2016983358720).

Almost surely, 2122231132600107 is an apocalyptic number.

122231132600107 is a deficient number, since it is larger than the sum of its proper divisors (6855802357973).

122231132600107 is a wasteful number, since it uses less digits than its factorization.

122231132600107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 122231132600107 its reverse (701006231132221), we get a palindrome (823237363732328).

The spelling of 122231132600107 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, one hundred thirty-two million, six hundred thousand, one hundred seven".

Divisors: 1 29 113 197 283 367 1823 3277 5713 8207 10643 22261 31979 41471 52867 55751 72299 103861 205999 359131 515909 645569 669041 927391 1202659 1616779 2096671 3011969 5973971 6299863 8169787 10414799 11736293 14961361 19402189 20460617 40581803 58297717 75601633 101634073 131801077 182696027 189338603 236923823 340352497 593357893 1176872287 1690633793 2192447357 2312049721 2947388117 3822231233 5490819487 11484650249 14893521701 21395262139 37299704791 67049441909 333054857221 431912129329 620462602031 1081691438939 4214866641383 122231132600107