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103023120 = 24351972179
BaseRepresentation
bin1100010010000…
…00001000010000
321011212010011010
412021000020100
5202333214440
614120050520
72360452644
oct611001020
9234763133
10103023120
1153176882
122a603a40
1318461835
14d97ac24
1590a0580
hex6240210

103023120 has 80 divisors (see below), whose sum is σ = 321140160. Its totient is φ = 27320832.

The previous prime is 103023103. The next prime is 103023161. The reversal of 103023120 is 21320301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030231202 = 21227526509068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103023096 and 103023105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46191 + ... + 48369.

It is an arithmetic number, because the mean of its divisors is an integer number (4014252).

Almost surely, 2103023120 is an apocalyptic number.

103023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160570080).

103023120 is an abundant number, since it is smaller than the sum of its proper divisors (218117040).

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

103023120 is a wasteful number, since it uses less digits than its factorization.

103023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103023120 is about 10150.0305418260. The cubic root of 103023120 is about 468.7898853172.

Adding to 103023120 its reverse (21320301), we get a palindrome (124343421).

The spelling of 103023120 in words is "one hundred three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2179 2364 2955 3152 3940 4358 4728 5910 6537 7880 8716 9456 10895 11820 13074 15760 17432 21790 23640 26148 32685 34864 43580 47280 52296 65370 87160 104592 130740 174320 261480 429263 522960 858526 1287789 1717052 2146315 2575578 3434104 4292630 5151156 6438945 6868208 8585260 10302312 12877890 17170520 20604624 25755780 34341040 51511560 103023120