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1124103201221 = 7112132329315149
BaseRepresentation
bin10000010110111001110…
…001011010000111000101
310222110111200111020220002
4100112321301122013011
5121404130404414341
62220223400451045
7144133216362140
oct20267161320705
93873450436802
101124103201221
113a3802a51900
12161a37a79a85
1382005599210
143c59a6c9057
151e391a7a29b
hex105b9c5a1c5

1124103201221 has 96 divisors (see below), whose sum is σ = 1592358566400. Its totient is φ = 770701155840.

The previous prime is 1124103201203. The next prime is 1124103201241. The reversal of 1124103201221 is 1221023014211.

It is not a de Polignac number, because 1124103201221 - 226 = 1124036092357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1124103201193 and 1124103201202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124103201241) 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 95 ways as a sum of consecutive naturals, for example, 74195555 + ... + 74210703.

It is an arithmetic number, because the mean of its divisors is an integer number (16587068400).

Almost surely, 21124103201221 is an apocalyptic number.

1124103201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1124103201221 is a deficient number, since it is larger than the sum of its proper divisors (468255365179).

1124103201221 is a wasteful number, since it uses less digits than its factorization.

1124103201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15507 (or 15496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1124103201221 its reverse (1221023014211), we get a palindrome (2345126215432).

The spelling of 1124103201221 in words is "one trillion, one hundred twenty-four billion, one hundred three million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 23 77 91 121 143 161 253 293 299 847 1001 1573 1771 2051 2093 2783 3223 3289 3809 6739 11011 15149 19481 22561 23023 26663 35453 36179 41899 47173 74129 87607 106043 166639 196937 248171 253253 293293 348427 460889 518903 613249 815419 963677 1166473 1378559 1833029 2166307 2438989 3226223 3832697 4438657 4529551 5707933 6745739 10600447 12831203 15164149 23829377 26828879 31070599 31706857 42159667 48825227 49825061 57702541 74203129 102089111 166805639 295117669 341776589 348775427 403917787 537077497 548075671 634727951 714623777 1122980221 1327158443 3759542479 3836529697 4443095657 6982007461 7860861547 9290109101 12352782431 14598742873 48874052227 86469477017 102191200111 160586171603 1124103201221