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120200031 = 347239887
BaseRepresentation
bin1110010101000…
…01101101011111
322101011210110000
413022201231133
5221232400111
615532145343
72656453260
oct712415537
9271153400
10120200031
1161939076
1234308253
131bb96ca3
1411d6c967
15a844c56
hex72a1b5f

120200031 has 40 divisors (see below), whose sum is σ = 206300160. Its totient is φ = 68321232.

The previous prime is 120200029. The next prime is 120200033. The reversal of 120200031 is 130002021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120200029) and next prime (120200033).

It is not a de Polignac number, because 120200031 - 21 = 120200029 is a prime.

It is a super-2 number, since 2×1202000312 = 28896094904801922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120199986 and 120200022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135070 + ... + 135956.

It is an arithmetic number, because the mean of its divisors is an integer number (5157504).

Almost surely, 2120200031 is an apocalyptic number.

120200031 is a deficient number, since it is larger than the sum of its proper divisors (86100129).

120200031 is an equidigital number, since it uses as much as digits as its factorization.

120200031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120200031 is about 10963.5774727048. The cubic root of 120200031 is about 493.5163287619.

Adding to 120200031 its reverse (130002021), we get a palindrome (250202052).

The spelling of 120200031 in words is "one hundred twenty million, two hundred thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 239 567 717 887 1673 2151 2661 5019 6209 6453 7983 15057 18627 19359 23949 45171 55881 71847 135513 167643 211993 502929 635979 1483951 1907937 4451853 5723811 13355559 17171433 40066677 120200031