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13100120 = 23511191567
BaseRepresentation
bin110001111110…
…010001011000
3220122112222122
4301332101120
511323200440
61144440412
7216230525
oct61762130
926575878
1013100120
117438350
124479108
132938967
141a5014c
15123b7b5
hexc7e458

13100120 has 64 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4510080.

The previous prime is 13100111. The next prime is 13100123. The reversal of 13100120 is 2100131.

13100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131001202 = 343226288028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 13100098 and 13100107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7577 + ... + 9143.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 213100120 is an apocalyptic number.

13100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13100120 is the 2090-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13100120 is an abundant number, since it is smaller than the sum of its proper divisors (20768680).

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

13100120 is a wasteful number, since it uses less digits than its factorization.

13100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 13100120 is about 3619.4087915017. The cubic root of 13100120 is about 235.7355555602.

Adding to 13100120 its reverse (2100131), we get a palindrome (15200251).

The spelling of 13100120 in words is "thirteen million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1567 1672 2090 3134 4180 6268 7835 8360 12536 15670 17237 29773 31340 34474 59546 62680 68948 86185 119092 137896 148865 172370 238184 297730 327503 344740 595460 655006 689480 1190920 1310012 1637515 2620024 3275030 6550060 13100120