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221230000032122 = 26183101230993683
BaseRepresentation
bin110010010011010100011111…
…100100001100100101111010
31002000022101022002011012122102
4302103110133210030211322
5212444113020002011442
62102303354201023402
764412224431164114
oct6223243744144572
91060271262135572
10221230000032122
1164544130622654
122098ba33484b62
139659b902341c3
143c8b8368223b4
151a89a77744232
hexc9351f90c97a

221230000032122 has 64 divisors (see below), whose sum is σ = 344881427425920. Its totient is φ = 106379283552000.

The previous prime is 221230000032073. The next prime is 221230000032229.

It is a happy number.

221230000032122 is nontrivially palindromic in base 10.

221230000032122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221230000032094 and 221230000032103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361427493 + ... + 2361521175.

It is an arithmetic number, because the mean of its divisors is an integer number (5388772303530).

Almost surely, 2221230000032122 is an apocalyptic number.

221230000032122 is a deficient number, since it is larger than the sum of its proper divisors (123651427393798).

221230000032122 is a wasteful number, since it uses less digits than its factorization.

221230000032122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96239.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 2212300000 and 32122, that added together give a palindrome (2212332122).

The spelling of 221230000032122 in words is "two hundred twenty-one trillion, two hundred thirty billion, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 61 83 101 122 166 202 2309 4618 5063 6161 8383 10126 12322 16766 93683 140849 187366 191647 233209 281698 383294 466418 511363 1022726 5714663 7775689 9461983 11429326 11690467 14225749 15551378 18923966 19356347 23380934 28451498 38712694 216314047 432628094 474317029 577180963 785344589 948634058 1154361926 1180737167 1570689178 2361474334 13195156867 17954065901 21847718747 26390313734 35908131802 43695437494 47906019929 95812039858 1095198019961 1332710843567 1813360656001 2190396039922 2665421687134 3626721312002 110615000016061 221230000032122