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131022122 = 27112371521
BaseRepresentation
bin1111100111100…
…11110100101010
3100010112121120012
413303303310222
5232020201442
621000131522
73150445460
oct763636452
9303477505
10131022122
1167a5a950
1237a66ba2
13211b5aaa
1413588830
15b781582
hex7cf3d2a

131022122 has 64 divisors (see below), whose sum is σ = 259780608. Its totient is φ = 48048000.

The previous prime is 131022097. The next prime is 131022127. The reversal of 131022122 is 221220131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131022097 and 131022106.

It is not an unprimeable number, because it can be changed into a prime (131022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251222 + ... + 251742.

It is an arithmetic number, because the mean of its divisors is an integer number (4059072).

Almost surely, 2131022122 is an apocalyptic number.

131022122 is a deficient number, since it is larger than the sum of its proper divisors (128758486).

131022122 is a wasteful number, since it uses less digits than its factorization.

131022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131022122 is about 11446.4895055209. The cubic root of 131022122 is about 507.9038945440.

Adding to 131022122 its reverse (221220131), we get a palindrome (352242253).

It can be divided in two parts, 1310 and 22122, that added together give a palindrome (23432).

The spelling of 131022122 in words is "one hundred thirty-one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 23 46 71 77 142 154 161 253 322 497 506 521 781 994 1042 1562 1633 1771 3266 3542 3647 5467 5731 7294 10934 11431 11462 11983 17963 22862 23966 35926 36991 40117 73982 80234 83881 125741 131813 167762 251482 258937 263626 406901 517874 813802 850793 922691 1701586 1845382 2848307 5696614 5955551 9358723 11911102 18717446 65511061 131022122