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2012423122801 = 741321721312
BaseRepresentation
bin11101010010001101110…
…000111110111101110001
321010101102020010212200101
4131102031300332331301
5230432420304412201
64140254443352401
7265251502210000
oct35221560767561
97111366125611
102012423122801
11706511430923
12286030522701
13117a03275100
146d58a770c37
153753397cd01
hex1d48dc3ef71

2012423122801 has 135 divisors (see below), whose sum is σ = 2721278030433. Its totient is φ = 1487145703680.

The previous prime is 2012423122783. The next prime is 2012423122819. The reversal of 2012423122801 is 1082213242102.

The square root of 2012423122801 is 1418599.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2012423122783) and next prime (2012423122819).

It can be written as a sum of positive squares in 4 ways, for example, as 18170770401 + 1994252352400 = 134799^2 + 1412180^2 .

It is not a de Polignac number, because 2012423122801 - 27 = 2012423122673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012423122801.

It is not an unprimeable number, because it can be changed into a prime (2012423123801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15362008506 + ... + 15362008636.

Almost surely, 22012423122801 is an apocalyptic number.

2012423122801 is the 1418599-th square number.

2012423122801 is the 709300-th centered octagonal number.

It is an amenable number.

2012423122801 is a deficient number, since it is larger than the sum of its proper divisors (708854907632).

2012423122801 is an frugal number, since it uses more digits than its factorization.

2012423122801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 2012423122801 its reverse (1082213242102), we get a palindrome (3094636364903).

The spelling of 2012423122801 in words is "two trillion, twelve billion, four hundred twenty-three million, one hundred twenty-two thousand, eight hundred one".

Divisors: 1 7 13 17 49 91 119 131 169 221 289 343 637 833 917 1183 1547 1703 2023 2227 2401 2873 3757 4459 5831 6419 8281 10829 11921 14161 15589 17161 20111 22139 26299 28951 31213 37859 40817 44933 48841 57967 75803 83447 99127 109123 120127 140777 154973 184093 202657 223093 265013 291737 314531 341887 376363 405769 492167 530621 584129 693889 763861 840889 985439 1084811 1288651 1418599 1561651 1855091 2042159 2393209 2634541 2900209 3445169 3792581 4088903 4959529 5347027 5886223 6398171 6898073 7593677 9020557 9930193 10931557 12985637 14295113 16752463 18441787 20301463 24116183 26548067 34716703 41203561 44787197 49303553 53155739 64473877 69511351 76520899 90899459 100065791 117267241 129092509 142110241 168813281 185836469 243016921 313510379 345124871 451317139 535646293 700460537 838160401 903647563 994771687 1181692967 1300855283 1701118447 2194572653 2415874097 3159219973 5867122807 6963401809 9105986981 11907829129 15362008571 16911118679 22114539811 41069859649 118377830753 154801778677 287489017543 2012423122801