Search a number
-
+
1016118220 = 2251317213523
BaseRepresentation
bin111100100100001…
…011101111001100
32121211000011011011
4330210023233030
54040111240340
6244454535004
734115601535
oct7444135714
92554004134
101016118220
11481632727
12244367464
131326917b0
1498d4568c
155e3170ea
hex3c90bbcc

1016118220 has 72 divisors (see below), whose sum is σ = 2441298384. Its totient is φ = 353086464.

The previous prime is 1016118197. The next prime is 1016118223. The reversal of 1016118220 is 228116101.

It is a junction number, because it is equal to n+sod(n) for n = 1016118191 and 1016118200.

It is not an unprimeable number, because it can be changed into a prime (1016118223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68379 + ... + 81901.

It is an arithmetic number, because the mean of its divisors is an integer number (33906922).

Almost surely, 21016118220 is an apocalyptic number.

1016118220 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 1016118220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220649192).

1016118220 is an abundant number, since it is smaller than the sum of its proper divisors (1425180164).

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

1016118220 is a wasteful number, since it uses less digits than its factorization.

1016118220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13579 (or 13560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 1016118220 is about 31876.6092927087. The cubic root of 1016118220 is about 1005.3441294053.

The spelling of 1016118220 in words is "one billion, sixteen million, one hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 13523 15028 18785 27046 37570 54092 67615 75140 135230 175799 229891 270460 351598 459782 703196 878995 919564 1149455 1757990 2298910 2988583 3515980 3908147 4597820 5977166 7816294 11954332 14942915 15632588 19540735 29885830 39081470 50805911 59771660 78162940 101611822 203223644 254029555 508059110 1016118220