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220212001001112 = 233191393474252193
BaseRepresentation
bin110010000100100000011010…
…000110000100111010011000
31001212201001122222101021100020
4302010200122012010322120
5212330423134224013422
62100203555140510440
764245535446200031
oct6204403206047230
91055631588337306
10220212001001112
116419142671731a
12208466896ab420
1395b4b96cb7173
143c54463b61a88
151a6d345c6695c
hexc8481a184e98

220212001001112 has 64 divisors (see below), whose sum is σ = 583674368592000. Its totient is φ = 69040339559424.

The previous prime is 220212001001081. The next prime is 220212001001159. The reversal of 220212001001112 is 211100100212022.

It is a junction number, because it is equal to n+sod(n) for n = 220212001001091 and 220212001001100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1737062713 + ... + 1737189480.

It is an arithmetic number, because the mean of its divisors is an integer number (9119912009250).

Almost surely, 2220212001001112 is an apocalyptic number.

It is an amenable number.

220212001001112 is an abundant number, since it is smaller than the sum of its proper divisors (363462367590888).

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

220212001001112 is a wasteful number, since it uses less digits than its factorization.

220212001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474252360 (or 3474252356 counting only the distinct ones).

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

Adding to 220212001001112 its reverse (211100100212022), we get a palindrome (431312101213134).

The spelling of 220212001001112 in words is "two hundred twenty trillion, two hundred twelve billion, one million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 456 556 834 1112 1668 2641 3336 5282 7923 10564 15846 21128 31692 63384 3474252193 6948504386 10422756579 13897008772 20845513158 27794017544 41691026316 66010791667 83382052632 132021583334 198032375001 264043166668 396064750002 482921054827 528086333336 792129500004 965842109654 1448763164481 1584259000008 1931684219308 2897526328962 3863368438616 5795052657924 9175500041713 11590105315848 18351000083426 27526500125139 36702000166852 55053000250278 73404000333704 110106000500556 220212001001112