Search a number
-
+
1012106160 = 2432513108131
BaseRepresentation
bin111100010100111…
…000001110110000
32121112110022122100
4330110320032300
54033044344120
6244232540400
734036521552
oct7424701660
92545408570
101012106160
1147a34237a
12242b51700
131318b85b0
14985bd4d2
155dcc3490
hex3c5383b0

1012106160 has 120 divisors (see below), whose sum is σ = 3660484464. Its totient is φ = 249131520.

The previous prime is 1012106141. The next prime is 1012106167. The reversal of 1012106160 is 616012101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012106167) 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, 44706 + ... + 63425.

Almost surely, 21012106160 is an apocalyptic number.

1012106160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012106160 is an abundant number, since it is smaller than the sum of its proper divisors (2648378304).

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

1012106160 is a wasteful number, since it uses less digits than its factorization.

1012106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108163 (or 108154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1012106160 is about 31813.6159529218. The cubic root of 1012106160 is about 1004.0192109677.

Adding to 1012106160 its reverse (616012101), we get a palindrome (1628118261).

The spelling of 1012106160 in words is "one billion, twelve million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 108131 216262 324393 432524 540655 648786 865048 973179 1081310 1297572 1405703 1621965 1730096 1946358 2162620 2595144 2811406 3243930 3892716 4217109 4325240 4865895 5190288 5622812 6487860 7028515 7785432 8434218 8650480 9731790 11245624 12651327 12975720 14057030 15570864 16868436 19463580 21085545 22491248 25302654 25951440 28114060 33736872 38927160 42171090 50605308 56228120 63256635 67473744 77854320 84342180 101210616 112456240 126513270 168684360 202421232 253026540 337368720 506053080 1012106160