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2061102160 = 245135361613
BaseRepresentation
bin111101011011001…
…1110110001010000
312022122022211122001
41322312132301100
513210120232120
6540304323344
7102035036125
oct17266366120
95278284561
102061102160
11968490617
12496313554
1326b01bba0
14157a4274c
15c0e31e0a
hex7ad9ec50

2061102160 has 160 divisors (see below), whose sum is σ = 5352969888. Its totient is φ = 733224960.

The previous prime is 2061102149. The next prime is 2061102161. The reversal of 2061102160 is 612011602.

It can be written as a sum of positive squares in 16 ways, for example, as 1805230144 + 255872016 = 42488^2 + 15996^2 .

It is a super-2 number, since 2×20611021602 = 8496284227913331200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061102161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362014 + ... + 3362626.

Almost surely, 22061102160 is an apocalyptic number.

2061102160 is a gapful number since it is divisible by the number (20) 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 2061102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676484944).

2061102160 is an abundant number, since it is smaller than the sum of its proper divisors (3291867728).

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

2061102160 is a wasteful number, since it uses less digits than its factorization.

2061102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2061102160 is about 45399.3629911258. The cubic root of 2061102160 is about 1272.6232096363.

Adding to 2061102160 its reverse (612011602), we get a palindrome (2673113762).

The spelling of 2061102160 in words is "two billion, sixty-one million, one hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 61 65 80 104 106 122 130 208 212 244 260 265 305 424 488 520 530 610 613 689 793 848 976 1040 1060 1220 1226 1378 1586 2120 2440 2452 2756 3065 3172 3233 3445 3965 4240 4880 4904 5512 6130 6344 6466 6890 7930 7969 9808 11024 12260 12688 12932 13780 15860 15938 16165 24520 25864 27560 31720 31876 32330 32489 37393 39845 42029 49040 51728 55120 63440 63752 64660 64978 74786 79690 84058 127504 129320 129956 149572 159380 162445 168116 186965 210145 258640 259912 299144 318760 324890 336232 373930 420290 422357 486109 519824 598288 637520 649780 672464 747860 840580 844714 972218 1299560 1495720 1681160 1689428 1944436 1981829 2111785 2430545 2599120 2991440 3362320 3378856 3888872 3963658 4223570 4861090 6757712 7777744 7927316 8447140 9722180 9909145 15854632 16894280 19444360 19818290 25763777 31709264 33788560 38888720 39636580 51527554 79273160 103055108 128818885 158546320 206110216 257637770 412220432 515275540 1030551080 2061102160