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1100221122 = 2371113374951
BaseRepresentation
bin100000110010100…
…0000101011000010
32211200021000122110
41001211000223002
54223124033442
6301101320150
736156503520
oct10145005302
92750230573
101100221122
11515056460
12268566056
13146c2a520
14a6199310
15668cb69c
hex41940ac2

1100221122 has 128 divisors (see below), whose sum is σ = 3034902528. Its totient is φ = 256608000.

The previous prime is 1100221097. The next prime is 1100221127. The reversal of 1100221122 is 2211220011.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1100221098 and 1100221107.

It is not an unprimeable number, because it can be changed into a prime (1100221127) 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, 219747 + ... + 224697.

It is an arithmetic number, because the mean of its divisors is an integer number (23710176).

Almost surely, 21100221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517451264).

1100221122 is an abundant number, since it is smaller than the sum of its proper divisors (1934681406).

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

1100221122 is a wasteful number, since it uses less digits than its factorization.

1100221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1100221122 is about 33169.5812756206. The cubic root of 1100221122 is about 1032.3492804717.

Adding to 1100221122 its reverse (2211220011), we get a palindrome (3311441133).

It can be divided in two parts, 1100 and 221122, that added together give a palindrome (222222).

The spelling of 1100221122 in words is "one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 4951 5291 5698 6006 6734 8547 9902 10101 10582 14853 15873 17094 20202 29706 31746 34657 37037 54461 64363 69314 74074 103971 108922 111111 128726 163383 183187 193089 207942 222222 326766 366374 381227 386178 450541 549561 707993 762454 901082 1099122 1143681 1282309 1351623 1415986 2015057 2123979 2287362 2381431 2564618 2703246 3846927 4030114 4247958 4762862 4955951 6045171 7144293 7693854 9911902 12090342 14105399 14288586 14867853 16670017 26195741 28210798 29735706 33340034 42316197 50010051 52391482 78587223 84632394 100020102 157174446 183370187 366740374 550110561 1100221122