Search a number
-
+
11101010320 = 2451073174091
BaseRepresentation
bin10100101011010101…
…11111100110010000
31001122122111202100101
422111222333212100
5140213324312240
65033313102144
7542044013401
oct122552774620
931578452311
1011101010320
11478725a3a4
122199857954
13107bb32c7a
147744859a8
1544e89339a
hex295abf990

11101010320 has 80 divisors (see below), whose sum is σ = 26139630528. Its totient is φ = 4383956480.

The previous prime is 11101010273. The next prime is 11101010339. The reversal of 11101010320 is 2301010111.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11101010297 and 11101010306.

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, 2711475 + ... + 2715565.

Almost surely, 211101010320 is an apocalyptic number.

11101010320 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 11101010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069815264).

11101010320 is an abundant number, since it is smaller than the sum of its proper divisors (15038620208).

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

11101010320 is a wasteful number, since it uses less digits than its factorization.

11101010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11101010320 its reverse (2301010111), we get a palindrome (13402020431).

The spelling of 11101010320 in words is "eleven billion, one hundred one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 317 428 535 634 856 1070 1268 1585 1712 2140 2536 3170 4091 4280 5072 6340 8182 8560 12680 16364 20455 25360 32728 33919 40910 65456 67838 81820 135676 163640 169595 271352 327280 339190 437737 542704 678380 875474 1296847 1356760 1750948 2188685 2593694 2713520 3501896 4377370 5187388 6484235 7003792 8754740 10374776 12968470 17509480 20749552 25936940 35018960 51873880 103747760 138762629 277525258 555050516 693813145 1110101032 1387626290 2220202064 2775252580 5550505160 11101010320