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110131220032002 = 232132172129620993
BaseRepresentation
bin11001000010100111101100…
…001111111010101000000010
3112102221102221002012002000100
4121002213230033322220002
5103413342214312011002
61030121330052303230
732124501204423531
oct3102475417725002
9472842832162010
10110131220032002
113210042a658434
1210428202911b16
13495b438b62300
141d2a545472318
15caeb7471c11c
hex6429ec3faa02

110131220032002 has 72 divisors (see below), whose sum is σ = 273583890615204. Its totient is φ = 31893203976192.

The previous prime is 110131220031997. The next prime is 110131220032027. The reversal of 110131220032002 is 200230022131011.

110131220032002 is a `hidden beast` number, since 1 + 10 + 1 + 312 + 20 + 0 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 65031144227721 + 45100075804281 = 8064189^2 + 6715659^2 .

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 35 ways as a sum of consecutive naturals, for example, 1064758783 + ... + 1064862210.

Almost surely, 2110131220032002 is an apocalyptic number.

110131220032002 is an abundant number, since it is smaller than the sum of its proper divisors (163452670583202).

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

110131220032002 is a wasteful number, since it uses less digits than its factorization.

110131220032002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129621044 (or 2129621028 counting only the distinct ones).

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

Adding to 110131220032002 its reverse (200230022131011), we get a palindrome (310361242163013).

The spelling of 110131220032002 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twenty million, thirty-two thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 25857 51714 2129620993 4259241986 6388862979 12777725958 19166588937 27685072909 36203556881 38333177874 55370145818 72407113762 83055218727 108610670643 166110437454 217221341286 249165656181 325832011929 359905947817 470646239453 498331312362 651664023858 719811895634 941292478906 1079717843451 1411938718359 2159435686902 2823877436718 3239153530353 4235816155077 6118401112889 6478307060706 8471632310154 12236802225778 18355203338667 36710406677334 55065610016001 110131220032002