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11022212111112 = 23321391923157269
BaseRepresentation
bin1010000001100100111100…
…0010011001101100001000
31110000201020220122211112100
42200121033002121230020
52421041442300023422
635235311230113400
72215220456050626
oct240311702315410
943021226584470
1011022212111112
11356a54842a834
1212a021864b860
1361c50c1b0a77
142a169956c516
15141aa67357ac
hexa064f099b08

11022212111112 has 96 divisors (see below), whose sum is σ = 30068674272000. Its totient is φ = 3647385175680.

The previous prime is 11022212111101. The next prime is 11022212111177. The reversal of 11022212111112 is 21111121222011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 192435214 + ... + 192492482.

It is an arithmetic number, because the mean of its divisors is an integer number (313215357000).

Almost surely, 211022212111112 is an apocalyptic number.

11022212111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022212111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034337136000).

11022212111112 is an abundant number, since it is smaller than the sum of its proper divisors (19046462160888).

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

11022212111112 is a wasteful number, since it uses less digits than its factorization.

11022212111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76651 (or 76644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11022212111112 its reverse (21111121222011), we get a palindrome (32133333333123).

The spelling of 11022212111112 in words is "eleven trillion, twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 19231 38462 57269 57693 76924 114538 115386 153848 171807 173079 229076 230772 343614 346158 458152 461544 515421 687228 692316 1030842 1374456 1384632 2061684 2673109 4123368 5346218 7960391 8019327 10692436 15920782 16038654 21384872 23881173 24057981 31841564 32077308 47762346 48115962 63683128 64154616 71643519 95524692 96231924 143287038 191049384 192463848 286574076 573148152 1101340139 2202680278 3304020417 4405360556 6608040834 8810721112 9912061251 13216081668 19824122502 26432163336 39648245004 79296490008 153086279321 306172558642 459258837963 612345117284 918517675926 1224690234568 1377776513889 1837035351852 2755553027778 3674070703704 5511106055556 11022212111112