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110001101012022 = 231161193741719087
BaseRepresentation
bin11001000000101110100000…
…100011001111110000110110
3112102111000001212021222200010
4121000232200203033300312
5103404224223324341042
61025541450322201050
732112213554126253
oct3100564043176066
9472430055258603
10110001101012022
1132060228886890
1210406b4a1b3186
13494c0a041796c
141d2412026442a
15cab5ab1e859c
hex640ba08cfc36

110001101012022 has 128 divisors (see below), whose sum is σ = 245246696921088. Its totient is φ = 32611225190400.

The previous prime is 110001101011999. The next prime is 110001101012051. The reversal of 110001101012022 is 220210101100011.

It is a junction number, because it is equal to n+sod(n) for n = 110001101011989 and 110001101012007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5763132963 + ... + 5763152049.

It is an arithmetic number, because the mean of its divisors is an integer number (1915989819696).

Almost surely, 2110001101012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001101012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623348460544).

110001101012022 is an abundant number, since it is smaller than the sum of its proper divisors (135245595909066).

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

110001101012022 is a wasteful number, since it uses less digits than its factorization.

110001101012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26774.

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

Adding to 110001101012022 its reverse (220210101100011), we get a palindrome (330211202112033).

The spelling of 110001101012022 in words is "one hundred ten trillion, one billion, one hundred one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 193 366 386 579 671 1158 1342 2013 2123 4026 4246 6369 7417 11773 12738 14834 19087 22251 23546 35319 38174 44502 57261 70638 81587 114522 129503 163174 209957 244761 259006 388509 419914 452437 489522 629871 777018 904874 1164307 1259742 1357311 1431481 2328614 2714622 2862962 3492921 3683791 4294443 4976807 6985842 7367582 8588886 9953614 11051373 12807377 14930421 15746291 22102746 25614754 29860842 31492582 38422131 40521701 47238873 76844262 81043402 87320341 94477746 121565103 141568279 174640682 224711251 243130206 261961023 283136558 424704837 449422502 523922046 674133753 849409674 960523751 1348267506 1557251069 1921047502 2471823761 2881571253 3114502138 4671753207 4943647522 5763142506 7415471283 8635665019 9343506414 14830942566 17271330038 25906995057 27322677847 51813990114 54645355694 81968033541 94992315209 163936067082 189984630418 284976945627 300549456317 569953891254 601098912634 901648368951 1666683348667 1803296737902 3333366697334 5000050046001 10000100092002 18333516835337 36667033670674 55000550506011 110001101012022