Search a number
-
+
1061050006060 = 22511229186111317
BaseRepresentation
bin11110111000010111000…
…00100011101000101100
310202102202101210001202121
433130023200203220230
5114341012300143220
62131234544002324
7136441544145622
oct17341340435054
93672671701677
101061050006060
11379a97081060
1215177b6003a4
1379097420c95
14394d8543512
151c901276eaa
hexf70b823a2c

1061050006060 has 96 divisors (see below), whose sum is σ = 2442911526720. Its totient is φ = 383911142400.

The previous prime is 1061050005979. The next prime is 1061050006073. The reversal of 1061050006060 is 606000501601.

It is a super-2 number, since 2×10610500060602 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93751522 + ... + 93762838.

It is an arithmetic number, because the mean of its divisors is an integer number (25446995070).

Almost surely, 21061050006060 is an apocalyptic number.

1061050006060 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 1061050006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221455763360).

1061050006060 is an abundant number, since it is smaller than the sum of its proper divisors (1381861520660).

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

1061050006060 is a wasteful number, since it uses less digits than its factorization.

1061050006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 1061050006060 its reverse (606000501601), we get a palindrome (1667050507661).

The spelling of 1061050006060 in words is "one trillion, sixty-one billion, fifty million, six thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 1861 2290 2519 3722 4580 5038 7444 9305 10076 11317 12595 18610 20471 22634 25190 37220 40942 45268 50380 56585 81884 102355 113170 124487 204710 226340 248974 409420 426169 497948 622435 852338 1244870 1704676 2130845 2489740 2591593 4261690 4687859 5183186 8523380 9375718 10366372 12957965 18751436 21060937 23439295 25915930 28507523 42121874 46878590 51831860 57015046 84243748 93757180 105304685 114030092 142537615 210609370 231670307 285075230 421218740 463340614 570150460 926681228 1158351535 2316703070 4633406140 4822954573 9645909146 19291818292 24114772865 48229545730 53052500303 96459091460 106105000606 212210001212 265262501515 530525003030 1061050006060