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1011100221222 = 2371337106946819
BaseRepresentation
bin11101011011010100100…
…01001111111100100110
310120122211022110002101120
432231222101033330212
5113031213124034342
62052254254434410
7133023002035020
oct16555221177446
93518738402346
101011100221222
1135a894796443
12143b5b502a06
1374466bb3590
1436d1a765010
151b47b000aec
hexeb6a44ff26

1011100221222 has 128 divisors (see below), whose sum is σ = 2558574412800. Its totient is φ = 259208418816.

The previous prime is 1011100221203. The next prime is 1011100221233. The reversal of 1011100221222 is 2221220011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21572529 + ... + 21619347.

It is an arithmetic number, because the mean of its divisors is an integer number (19988862600).

Almost surely, 21011100221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011100221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279287206400).

1011100221222 is an abundant number, since it is smaller than the sum of its proper divisors (1547474191578).

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

1011100221222 is a wasteful number, since it uses less digits than its factorization.

1011100221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47950.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1011100221222 its reverse (2221220011101), we get a palindrome (3232320232323).

The spelling of 1011100221222 in words is "one trillion, eleven billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1069 1443 1554 2138 2886 3207 3367 6414 6734 7483 10101 13897 14966 20202 22449 27794 39553 41691 44898 46819 79106 83382 93638 97279 118659 140457 194558 237318 276871 280914 291837 327733 514189 553742 583674 608647 655466 830613 983199 1028378 1217294 1542567 1661226 1732303 1825941 1966398 3085134 3464606 3599323 3651882 4260529 5196909 7198646 8521058 10393818 10797969 12126121 12781587 21595938 22519939 24252242 25563174 36378363 45039878 50049511 67559817 72756726 100099022 135119634 150148533 157639573 300297066 315279146 350346577 472918719 650643643 700693154 945837438 1051039731 1301287286 1851831907 1951930929 2102079462 3703663814 3903861858 4554505501 5555495721 9109011002 11110991442 12962823349 13663516503 24073814791 25925646698 27327033006 38888470047 48147629582 72221444373 77776940094 144442888746 168516703537 337033407074 505550110611 1011100221222