Search a number
-
+
1013133134420 = 2251126928360493
BaseRepresentation
bin11101011111000110111…
…00001100101001010100
310120212001222201210000222
432233203130030221110
5113044344040300140
62053232115053512
7133124245360451
oct16574334145124
93525058653028
101013133134420
113607382731a0
121444282a1298
13746cc1128b4
143707074a828
151b5497155b5
hexebe370ca54

1013133134420 has 96 divisors (see below), whose sum is σ = 2337894679680. Its totient is φ = 365739471360.

The previous prime is 1013133134389. The next prime is 1013133134423. The reversal of 1013133134420 is 244313313101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013133134420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013133134423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16717694 + ... + 16778186.

It is an arithmetic number, because the mean of its divisors is an integer number (24353069580).

Almost surely, 21013133134420 is an apocalyptic number.

1013133134420 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 1013133134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168947339840).

1013133134420 is an abundant number, since it is smaller than the sum of its proper divisors (1324761545260).

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

1013133134420 is a wasteful number, since it uses less digits than its factorization.

1013133134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61065 (or 61063 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1013133134420 its reverse (244313313101), we get a palindrome (1257446447521).

The spelling of 1013133134420 in words is "one trillion, thirteen billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 269 283 538 566 1076 1132 1345 1415 2690 2830 2959 3113 5380 5660 5918 6226 11836 12452 14795 15565 29590 31130 59180 60493 62260 76127 120986 152254 241972 302465 304508 380635 604930 665423 761270 837397 1209860 1330846 1522540 1674794 2661692 3327115 3349588 4186985 6654230 8373970 13308460 16272617 16747940 17119519 32545234 34239038 65090468 68478076 81363085 85597595 162726170 171195190 178998787 188314709 325452340 342390380 357997574 376629418 715995148 753258836 894993935 941573545 1789987870 1883147090 3579975740 3766294180 4605150611 9210301222 18420602444 23025753055 46051506110 50656656721 92103012220 101313313442 202626626884 253283283605 506566567210 1013133134420