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11121122001010 = 25721791231103001
BaseRepresentation
bin1010000111010101011010…
…0001101100000001110010
31110101011120010001211211211
42201311112201230001302
52424202024213013020
635352550052230334
72225321525203600
oct241652641540162
943334503054754
1011121122001010
1135a8494495a9a
1212b742130b3aa
13628942bc3238
142a639d906870
15144444dde85a
hexa1d5686c072

11121122001010 has 96 divisors (see below), whose sum is σ = 23435608331520. Its totient is φ = 3788537760000.

The previous prime is 11121122000939. The next prime is 11121122001013. The reversal of 11121122001010 is 1010022112111.

It is a happy number.

It is a super-2 number, since 2×111211220010102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121122001013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 107919510 + ... + 108022510.

It is an arithmetic number, because the mean of its divisors is an integer number (244120920120).

Almost surely, 211121122001010 is an apocalyptic number.

11121122001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121122001010 is an abundant number, since it is smaller than the sum of its proper divisors (12314486330510).

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

11121122001010 is a wasteful number, since it uses less digits than its factorization.

11121122001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104432 (or 104425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121122001010 its reverse (1010022112111), we get a palindrome (12131144113121).

The spelling of 11121122001010 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, one thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 179 245 358 490 895 1231 1253 1790 2462 2506 6155 6265 8617 8771 12310 12530 17234 17542 43085 43855 60319 86170 87710 103001 120638 206002 220349 301595 440698 515005 603190 721007 1030010 1101745 1442014 1542443 2203490 3084886 3605035 5047049 7210070 7712215 10094098 10797101 15424430 18437179 21594202 25235245 36874358 50470490 53985505 92185895 107971010 126794231 129060253 184371790 253588462 258120506 633971155 645301265 887559617 903421771 1267942310 1290602530 1775119234 1806843542 4437798085 4517108855 6212917319 8875596170 9034217710 12425834638 22696167349 31064586595 45392334698 62129173190 113480836745 158873171443 226961673490 317746342886 794365857215 1112112200101 1588731714430 2224224400202 5560561000505 11121122001010