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102032222112 = 2532354278549
BaseRepresentation
bin101111100000110011…
…0000010011110100000
3100202100210121220220100
41133001212002132200
53132430222101422
6114512320342400
710241311402212
oct1370146023640
9322323556810
10102032222112
113a2a9590707
1217936474a00
139810859332
144d1cd065b2
1529c28647ac
hex17c19827a0

102032222112 has 36 divisors (see below), whose sum is σ = 290154132450. Its totient is φ = 34010740608.

The previous prime is 102032222111. The next prime is 102032222113. The reversal of 102032222112 is 211222230201.

It is an interprime number because it is at equal distance from previous prime (102032222111) and next prime (102032222113).

It can be written as a sum of positive squares in only one way, i.e., 86316089616 + 15716132496 = 293796^2 + 125364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1020322221122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102032222111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177138987 + ... + 177139562.

Almost surely, 2102032222112 is an apocalyptic number.

102032222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102032222112 is an abundant number, since it is smaller than the sum of its proper divisors (188121910338).

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

102032222112 is a wasteful number, since it uses less digits than its factorization.

102032222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354278565 (or 354278554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102032222112 its reverse (211222230201), we get a palindrome (313254452313).

The spelling of 102032222112 in words is "one hundred two billion, thirty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 354278549 708557098 1062835647 1417114196 2125671294 2834228392 3188506941 4251342588 5668456784 6377013882 8502685176 11336913568 12754027764 17005370352 25508055528 34010740704 51016111056 102032222112