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23010132021201 = 3213433510189041
BaseRepresentation
bin1010011101101011101101…
…01111101100111111010001
310000110202011122220210021100
411032311312233230333101
511003444222244134301
6120534413030015013
74563266344030263
oct516656657547721
9100422148823240
1023010132021201
1173715a6720256
1226b76267a7469
13cabaccc76850
145979a6a41b33
1529d82dd65286
hex14ed76becfd1

23010132021201 has 48 divisors (see below), whose sum is σ = 35883638928592. Its totient is φ = 14124450816000.

The previous prime is 23010132021161. The next prime is 23010132021211. The reversal of 23010132021201 is 10212023101032.

23010132021201 is a `hidden beast` number, since 2 + 30 + 101 + 320 + 212 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18714146220225 + 4295985800976 = 4325985^2 + 2072676^2 .

It is not a de Polignac number, because 23010132021201 - 215 = 23010131988433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23010132021211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258377241 + ... + 258466281.

Almost surely, 223010132021201 is an apocalyptic number.

It is an amenable number.

23010132021201 is a deficient number, since it is larger than the sum of its proper divisors (12873506907391).

23010132021201 is a wasteful number, since it uses less digits than its factorization.

23010132021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94594 (or 94591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23010132021201 its reverse (10212023101032), we get a palindrome (33222155122233).

The spelling of 23010132021201 in words is "twenty-three trillion, ten billion, one hundred thirty-two million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 13 39 117 433 1299 3897 5101 5629 15303 16887 45909 50661 66313 89041 198939 267123 596817 801369 1157533 2208733 3472599 6626199 10417797 19878597 28713529 38554753 86140587 115664259 258421761 346992777 454198141 501211789 1362594423 1503635367 4087783269 4510906101 5904575833 17713727499 53141182497 196667795053 590003385159 1770010155477 2556681335689 7670044007067 23010132021201