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11122321002 = 23132341151213
BaseRepresentation
bin10100101101111000…
…10010011001101010
31001201010121110002220
422112330102121222
5140234303233002
65035353534510
7542423111562
oct122674223152
931633543086
1011122321002
114798295431
1221a4a14436
131083384b40
14777231da2
154516a27bc
hex296f1266a

11122321002 has 64 divisors (see below), whose sum is σ = 25607183616. Its totient is φ = 3193597440.

The previous prime is 11122320973. The next prime is 11122321033. The reversal of 11122321002 is 20012322111.

11122321002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2053 + ... + 149160.

It is an arithmetic number, because the mean of its divisors is an integer number (400112244).

Almost surely, 211122321002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122321002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803591808).

11122321002 is an abundant number, since it is smaller than the sum of its proper divisors (14484862614).

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

11122321002 is a wasteful number, since it uses less digits than its factorization.

11122321002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151295.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11122321002 its reverse (20012322111), we get a palindrome (31134643113).

The spelling of 11122321002 in words is "eleven billion, one hundred twenty-two million, three hundred twenty-one thousand, two".

Divisors: 1 2 3 6 13 23 26 39 41 46 69 78 82 123 138 246 299 533 598 897 943 1066 1599 1794 1886 2829 3198 5658 12259 24518 36777 73554 151213 302426 453639 907278 1965769 3477899 3931538 5897307 6199733 6955798 10433697 11794614 12399466 18599199 20867394 37198398 45212687 80596529 90425374 135638061 142593859 161193058 241789587 271276122 285187718 427781577 483579174 855563154 1853720167 3707440334 5561160501 11122321002