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10120220023120 = 245467327070993
BaseRepresentation
bin1001001101000100110000…
…0111101001100101010000
31022211111001112102012022021
42103101030013221211100
52311302202311214440
633305055341221224
72063106325600444
oct223211407514520
938744045365267
1010120220023120
113251a63407829
121175449261814
13585442aba98c
1426db6d78a824
151283b43aa84a
hex9344c1e9950

10120220023120 has 40 divisors (see below), whose sum is σ = 23534547627816. Its totient is φ = 4047221587968.

The previous prime is 10120220023099. The next prime is 10120220023159. The reversal of 10120220023120 is 2132002202101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3865439109184 + 6254780913936 = 1966072^2 + 2500956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10120220023094 and 10120220023103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13161657 + ... + 13909336.

Almost surely, 210120220023120 is an apocalyptic number.

10120220023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120220023120 is an abundant number, since it is smaller than the sum of its proper divisors (13414327604696).

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

10120220023120 is a wasteful number, since it uses less digits than its factorization.

10120220023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27075679 (or 27075673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120220023120 its reverse (2132002202101), we get a palindrome (12252222225221).

The spelling of 10120220023120 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4673 9346 18692 23365 37384 46730 74768 93460 186920 373840 27070993 54141986 108283972 135354965 216567944 270709930 433135888 541419860 1082839720 2165679440 126502750289 253005500578 506011001156 632513751445 1012022002312 1265027502890 2024044004624 2530055005780 5060110011560 10120220023120