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202023213131121 = 3341384737232847
BaseRepresentation
bin101101111011110100110001…
…110110101110010101110001
3222111022020020002002011001120
4231323310301312232111301
5202434422020030143441
61553400103300252453
760360460360216644
oct5573646166562561
9874266202064046
10202023213131121
1159409622095118
121a7a95513a1129
138895926ab64a5
1437c5d93401a5b
151855149e2b966
hexb7bd31dae571

202023213131121 has 16 divisors (see below), whose sum is σ = 269447544140544. Its totient is φ = 134640513388544.

The previous prime is 202023213131107. The next prime is 202023213131149. The reversal of 202023213131121 is 121131312320202.

It is a cyclic number.

It is not a de Polignac number, because 202023213131121 - 210 = 202023213130097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202023213131091 and 202023213131100.

It is not an unprimeable number, because it can be changed into a prime (202023213131021) 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 15 ways as a sum of consecutive naturals, for example, 867505720 + ... + 867738566.

It is an arithmetic number, because the mean of its divisors is an integer number (16840471508784).

Almost surely, 2202023213131121 is an apocalyptic number.

It is an amenable number.

202023213131121 is a deficient number, since it is larger than the sum of its proper divisors (67424331009423).

202023213131121 is a wasteful number, since it uses less digits than its factorization.

202023213131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321000.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 202023213131121 its reverse (121131312320202), we get a palindrome (323154525451323).

The spelling of 202023213131121 in words is "two hundred two trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 3413 10239 84737 232847 254211 698541 289207381 794706811 867622143 2384120433 19730756239 59192268717 67341071043707 202023213131121