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1100020101222 = 237376721614889
BaseRepresentation
bin10000000000011110010…
…011101011000001100110
310220011100021220000102110
4100000132103223001212
5121010320121214342
62201201532221450
7142321344404460
oct20003623530146
93804307800373
101100020101222
11394574740379
1215923660a886
137c967cc57a3
143b35401b130
151d932621c9c
hex1001e4eb066

1100020101222 has 128 divisors (see below), whose sum is σ = 2622577259520. Its totient is φ = 301031976960.

The previous prime is 1100020101203. The next prime is 1100020101227. The reversal of 1100020101222 is 2221010200011.

It is a junction number, because it is equal to n+sod(n) for n = 1100020101198 and 1100020101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100020101227) 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, 224996554 + ... + 225001442.

It is an arithmetic number, because the mean of its divisors is an integer number (20488884840).

Almost surely, 21100020101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100020101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311288629760).

1100020101222 is an abundant number, since it is smaller than the sum of its proper divisors (1522557158298).

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

1100020101222 is a wasteful number, since it uses less digits than its factorization.

1100020101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166.

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

Adding to 1100020101222 its reverse (2221010200011), we get a palindrome (3321030301233).

The spelling of 1100020101222 in words is "one trillion, one hundred billion, twenty million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 67 74 111 134 201 222 259 402 469 518 777 938 1407 1554 2161 2479 2814 4322 4889 4958 6483 7437 9778 12966 14667 14874 15127 17353 29334 30254 34223 34706 45381 52059 68446 79957 90762 102669 104118 144787 159914 180893 205338 239871 289574 327563 361786 434361 479742 542679 559699 655126 868722 982689 1013509 1085358 1119398 1266251 1679097 1965378 2027018 2292941 2532502 3040527 3358194 3798753 4585882 5357119 6081054 6878823 7597506 10565129 10714238 12119831 13757646 16071357 21130258 24239662 31695387 32142714 36359493 37499833 63390774 72718986 73955903 74999666 84838817 112499499 147911806 169677634 221867709 224998998 254516451 390909773 443735418 509032902 707863643 781819546 1172729319 1415727286 2123590929 2345458638 2736368411 4247181858 4955045501 5472736822 8209105233 9910091002 14865136503 16418210466 26190954791 29730273006 52381909582 78572864373 157145728746 183336683537 366673367074 550010050611 1100020101222