Search a number
-
+
61055101100 = 22527347251359
BaseRepresentation
bin111000110111001010…
…101110100010101100
312211121000221111100202
4320313022232202230
52000020101213400
644014234413032
74261000540130
oct706712564254
9184530844322
1061055101100
1123991016144
12b9bb291178
1359b021a576
142d52a653c0
1518c51ba4d5
hexe372ae8ac

61055101100 has 72 divisors (see below), whose sum is σ = 151853614080. Its totient is φ = 20872768320.

The previous prime is 61055101091. The next prime is 61055101109. The reversal of 61055101100 is 110155016.

It is an interprime number because it is at equal distance from previous prime (61055101091) and next prime (61055101109).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (61055101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117221 + ... + 368579.

Almost surely, 261055101100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61055101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75926807040).

61055101100 is an abundant number, since it is smaller than the sum of its proper divisors (90798512980).

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

61055101100 is a wasteful number, since it uses less digits than its factorization.

61055101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251727 (or 251720 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 61055101100 its reverse (110155016), we get a palindrome (61165256116).

The spelling of 61055101100 in words is "sixty-one billion, fifty-five million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 347 350 694 700 1388 1735 2429 3470 4858 6940 8675 9716 12145 17350 24290 34700 48580 60725 121450 242900 251359 502718 1005436 1256795 1759513 2513590 3519026 5027180 6283975 7038052 8797565 12567950 17595130 25135900 35190260 43987825 87221573 87975650 174443146 175951300 348886292 436107865 610551011 872215730 1221102022 1744431460 2180539325 2442204044 3052755055 4361078650 6105510110 8722157300 12211020220 15263775275 30527550550 61055101100