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10111201122 = 2311379974153
BaseRepresentation
bin10010110101010110…
…01010111101100010
3222002200000020101110
421122223022331202
5131201431413442
64351154044150
7505364535321
oct113253127542
928080006343
1010111201122
114319567070
121b62279656
13c51a53459
146bcc2c0b8
153e2a2669c
hex25aacaf62

10111201122 has 64 divisors (see below), whose sum is σ = 22685226624. Its totient is φ = 2977482240.

The previous prime is 10111201069. The next prime is 10111201153. The reversal of 10111201122 is 22110211101.

It is a junction number, because it is equal to n+sod(n) for n = 10111201098 and 10111201107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432598 + ... + 2436750.

It is an arithmetic number, because the mean of its divisors is an integer number (354456666).

Almost surely, 210111201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342613312).

10111201122 is an abundant number, since it is smaller than the sum of its proper divisors (12574025502).

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

10111201122 is a wasteful number, since it uses less digits than its factorization.

10111201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203.

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

Adding to 10111201122 its reverse (22110211101), we get a palindrome (32221412223).

The spelling of 10111201122 in words is "ten billion, one hundred eleven million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 997 1221 1994 2442 2991 4153 5982 8306 10967 12459 21934 24918 32901 36889 45683 65802 73778 91366 110667 137049 153661 221334 274098 307322 405779 460983 811558 921966 1217337 1690271 2434674 3380542 4140541 5070813 8281082 10141626 12421623 24843246 45545951 91091902 136637853 153200017 273275706 306400034 459600051 919200102 1685200187 3370400374 5055600561 10111201122