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2101023131121 = 331511024350311
BaseRepresentation
bin11110100100101110101…
…111001100010111110001
321102212002220200122021000
4132210232233030113301
5233410343410143441
64245110253152213
7304536211644105
oct36445657142761
97385086618230
102101023131121
117400478694a2
1229b23848b669
1312318301c635
147399375d905
15399bbe672b6
hex1e92ebcc5f1

2101023131121 has 32 divisors (see below), whose sum is σ = 3133608458240. Its totient is φ = 1391242554000.

The previous prime is 2101023131093. The next prime is 2101023131149. The reversal of 2101023131121 is 1211313201012.

2101023131121 is a `hidden beast` number, since 2 + 101 + 0 + 231 + 311 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (2101023131093) and next prime (2101023131149).

It is not a de Polignac number, because 2101023131121 - 210 = 2101023130097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101023131094 and 2101023131103.

It is not an unprimeable number, because it can be changed into a prime (2101023131621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41735556 + ... + 41785866.

It is an arithmetic number, because the mean of its divisors is an integer number (97925264320).

Almost surely, 22101023131121 is an apocalyptic number.

It is an amenable number.

2101023131121 is a deficient number, since it is larger than the sum of its proper divisors (1032585327119).

2101023131121 is a wasteful number, since it uses less digits than its factorization.

2101023131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60714 (or 60708 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2101023131121 its reverse (1211313201012), we get a palindrome (3312336332133).

The spelling of 2101023131121 in words is "two trillion, one hundred one billion, twenty-three million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 151 453 1359 4077 10243 30729 50311 92187 150933 276561 452799 1358397 1546693 4640079 7596961 13920237 22790883 41760711 68372649 205117947 515335573 1546006719 4638020157 13914060471 77815671523 233447014569 700341043707 2101023131121