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10221132011133 = 33114919117532203
BaseRepresentation
bin1001010010111100101011…
…1100010101011001111101
31100012010112021010022220210
42110233022330111121331
52314430334243324013
633423305003303033
72103311115414231
oct224571274253175
940163467108823
1010221132011133
113290837612a2a
121190b1051aa79
13591b055304a4
142749c39a85c1
1512ad1d6ddcc3
hex94bcaf1567d

10221132011133 has 64 divisors (see below), whose sum is σ = 14250944102400. Its totient is φ = 6509055628800.

The previous prime is 10221132011089. The next prime is 10221132011141. The reversal of 10221132011133 is 33111023112201.

It is not a de Polignac number, because 10221132011133 - 216 = 10221131945597 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221136011133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4639641210 + ... + 4639643412.

It is an arithmetic number, because the mean of its divisors is an integer number (222671001600).

Almost surely, 210221132011133 is an apocalyptic number.

It is an amenable number.

10221132011133 is a deficient number, since it is larger than the sum of its proper divisors (4029812091267).

10221132011133 is a wasteful number, since it uses less digits than its factorization.

10221132011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10221132011133 its reverse (33111023112201), we get a palindrome (43332155123334).

The spelling of 10221132011133 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-two million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 31 93 149 191 447 573 1753 2203 4619 5259 5921 6609 13857 17763 28459 54343 68293 85377 163029 204879 261197 328247 334823 420773 783591 882229 984741 1004469 1262319 2646687 3861859 8097107 10175657 10379513 11585577 13043963 24291321 30526971 31138539 39131889 49888627 62695177 119717629 149665881 188085531 359152887 575416991 737615069 1546547437 1726250973 1943550487 2212845207 4639642311 5830651461 17837926721 22866067139 53513780163 68598201417 109904645281 329713935843 3407044003711 10221132011133