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122213002131 = 32112144777557
BaseRepresentation
bin111000111010001110…
…1100110101110010011
3102200110020022202201100
41301310131212232103
54000243012032011
6132051024435443
711554360243443
oct1616435465623
9380406282640
10122213002131
1147915065400
121b828a78b83
13b6a881bb9c
145cb520a123
1532a43ded56
hex1c74766b93

122213002131 has 36 divisors (see below), whose sum is σ = 194173588336. Its totient is φ = 74016344160.

The previous prime is 122213002069. The next prime is 122213002139. The reversal of 122213002131 is 131200312221.

122213002131 is a `hidden beast` number, since 12 + 221 + 300 + 2 + 131 = 666.

It is not a de Polignac number, because 122213002131 - 27 = 122213002003 is a prime.

It is a super-2 number, since 2×1222130021312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122213002139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1537005 + ... + 1614561.

Almost surely, 2122213002131 is an apocalyptic number.

122213002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122213002131 is a deficient number, since it is larger than the sum of its proper divisors (71960586205).

122213002131 is a wasteful number, since it uses less digits than its factorization.

122213002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79032 (or 79018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122213002131 its reverse (131200312221), we get a palindrome (253413314352).

The spelling of 122213002131 in words is "one hundred twenty-two billion, two hundred thirteen million, two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1447 4341 13023 15917 47751 77557 143253 175087 232671 525261 698013 853127 1575783 2559381 7678143 9384397 28153191 84459573 112224979 336674937 1010024811 1234474769 3703424307 11110272921 13579222459 40737667377 122213002131