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11131202420 = 22513251281607
BaseRepresentation
bin10100101110111100…
…01010101101110100
31001201202022200010022
422113132022231310
5140244041434140
65040312144312
7542561442122
oct122736125564
931652280108
1011131202420
1147a2301148
1221a7998098
131085174510
147784a4912
154523590b5
hex29778ab74

11131202420 has 96 divisors (see below), whose sum is σ = 25405664256. Its totient is φ = 4072320000.

The previous prime is 11131202419. The next prime is 11131202431. The reversal of 11131202420 is 2420213111.

It is a congruent number.

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, 18337757 + ... + 18338363.

It is an arithmetic number, because the mean of its divisors is an integer number (264642336).

Almost surely, 211131202420 is an apocalyptic number.

11131202420 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 11131202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702832128).

11131202420 is an abundant number, since it is smaller than the sum of its proper divisors (14274461836).

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

11131202420 is a wasteful number, since it uses less digits than its factorization.

11131202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11131202420 its reverse (2420213111), we get a palindrome (13551415531).

The spelling of 11131202420 in words is "eleven billion, one hundred thirty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 281 502 562 607 1004 1124 1214 1255 1405 2428 2510 2810 3035 3263 3653 5020 5620 6070 6526 7306 7891 12140 13052 14612 15782 16315 18265 31564 32630 36530 39455 65260 70531 73060 78910 141062 152357 157820 170567 282124 304714 341134 352655 609428 682268 705310 761785 852835 916903 1410620 1523570 1705670 1833806 1980641 2217371 3047140 3411340 3667612 3961282 4434742 4584515 7922564 8869484 9169030 9903205 11086855 18338060 19806410 22173710 39612820 42812317 44347420 85624634 171249268 214061585 428123170 556560121 856246340 1113120242 2226240484 2782800605 5565601210 11131202420