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160117100 = 2252111311197
BaseRepresentation
bin10011000101100…
…11000101101100
3102011021210100222
421202303011230
5311442221400
623515510512
73652654463
oct1142630554
9364253328
10160117100
1182422390
1245758438
1327231b60
141739d9da
15e0cc185
hex98b316c

160117100 has 72 divisors (see below), whose sum is σ = 408234288. Its totient is φ = 53740800.

The previous prime is 160117073. The next prime is 160117103. The reversal of 160117100 is 1711061.

160117100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (160117103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8702 + ... + 19898.

Almost surely, 2160117100 is an apocalyptic number.

160117100 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 160117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204117144).

160117100 is an abundant number, since it is smaller than the sum of its proper divisors (248117188).

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

160117100 is a wasteful number, since it uses less digits than its factorization.

160117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11228 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 160117100 is about 12653.7385779856. The cubic root of 160117100 is about 543.0159319816.

Adding to 160117100 its reverse (1711061), we get a palindrome (161828161).

The spelling of 160117100 in words is "one hundred sixty million, one hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 11197 14300 22394 44788 55985 111970 123167 145561 223940 246334 279925 291122 492668 559850 582244 615835 727805 1119700 1231670 1455610 1601171 2463340 2911220 3079175 3202342 3639025 6158350 6404684 7278050 8005855 12316700 14556100 16011710 32023420 40029275 80058550 160117100