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11140211010 = 2351761433827
BaseRepresentation
bin10100110000000001…
…00010000101000010
31001202101021100120210
422120000202011002
5140303343223020
65041233214550
7543031142205
oct123000420502
931671240523
1011140211010
1147a73a4465
1221aaa01456
131086ca9a46
1477976b93c
154530383e0
hex298022142

11140211010 has 128 divisors (see below), whose sum is σ = 28874651904. Its totient is φ = 2740469760.

The previous prime is 11140211009. The next prime is 11140211011. The reversal of 11140211010 is 1011204111.

It is an interprime number because it is at equal distance from previous prime (11140211009) and next prime (11140211011).

It is not an unprimeable number, because it can be changed into a prime (11140211011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13470217 + ... + 13471043.

It is an arithmetic number, because the mean of its divisors is an integer number (225583218).

Almost surely, 211140211010 is an apocalyptic number.

11140211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437325952).

11140211010 is an abundant number, since it is smaller than the sum of its proper divisors (17734440894).

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

11140211010 is a wasteful number, since it uses less digits than its factorization.

11140211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11140211010 its reverse (1011204111), we get a palindrome (12151415121).

The spelling of 11140211010 in words is "eleven billion, one hundred forty million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 433 510 610 827 866 915 1037 1299 1654 1830 2074 2165 2481 2598 3111 4135 4330 4962 5185 6222 6495 7361 8270 10370 12405 12990 14059 14722 15555 22083 24810 26413 28118 31110 36805 42177 44166 50447 52826 70295 73610 79239 84354 100894 110415 132065 140590 151341 158478 210885 220830 252235 264130 302682 358091 396195 421770 449021 504470 716182 756705 792390 857599 898042 1074273 1347063 1513410 1715198 1790455 2148546 2245105 2572797 2694126 3580910 4287995 4490210 5145594 5371365 6087547 6735315 8575990 10742730 12175094 12863985 13470630 18262641 21843551 25727970 30437735 36525282 43687102 60875470 65530653 91313205 109217755 131061306 182626410 218435510 327653265 371340367 655306530 742680734 1114021101 1856701835 2228042202 3713403670 5570105505 11140211010