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10120103220132 = 2232281113978337
BaseRepresentation
bin1001001101000100010100…
…1010000101001110100100
31022211110202101121222201200
42103101011022011032210
52311301432411021012
633305040005522500
72063103410023113
oct223210512051644
938743671558650
1010120103220132
113251a03489a34
121175416113430
13585424842c99
1426db5c063c7a
151283a8ed73dc
hex934452853a4

10120103220132 has 18 divisors (see below), whose sum is σ = 25581372028758. Its totient is φ = 3373367740032.

The previous prime is 10120103220131. The next prime is 10120103220179. The reversal of 10120103220132 is 23102230102101.

10120103220132 is a `hidden beast` number, since 10 + 1 + 201 + 0 + 322 + 0 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8769617513316 + 1350485706816 = 2961354^2 + 1162104^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×101201032201322 (a number of 27 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 (10120103220131) 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 5 ways as a sum of consecutive naturals, for example, 140556989133 + ... + 140556989204.

It is an arithmetic number, because the mean of its divisors is an integer number (1421187334931).

Almost surely, 210120103220132 is an apocalyptic number.

10120103220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120103220132 is an abundant number, since it is smaller than the sum of its proper divisors (15461268808626).

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

10120103220132 is a wasteful number, since it uses less digits than its factorization.

10120103220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281113978347 (or 281113978342 counting only the distinct ones).

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

Adding to 10120103220132 its reverse (23102230102101), we get a palindrome (33222333322233).

The spelling of 10120103220132 in words is "ten trillion, one hundred twenty billion, one hundred three million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 281113978337 562227956674 843341935011 1124455913348 1686683870022 2530025805033 3373367740044 5060051610066 10120103220132