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10122302321213 = 211439400327299
BaseRepresentation
bin1001001101001100100000…
…1110111111001000111101
31022211200102122121220021212
42103103020032333020331
52311320433343234323
633310042124134205
72063212042046405
oct223231016771075
938750378556255
1010122302321213
113252931855145
12117592a697365
135856b531b424
1426dcca149805
151284870c7b78
hex934c83bf23d

10122302321213 has 16 divisors (see below), whose sum is σ = 10196362176000. Its totient is φ = 10048501900080.

The previous prime is 10122302321129. The next prime is 10122302321233. The reversal of 10122302321213 is 31212320322101.

It is a cyclic number.

It is not a de Polignac number, because 10122302321213 - 222 = 10122298126909 is a prime.

It is a super-2 number, since 2×101223023212132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122302321233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370780238 + ... + 370807536.

It is an arithmetic number, because the mean of its divisors is an integer number (637272636000).

Almost surely, 210122302321213 is an apocalyptic number.

It is an amenable number.

10122302321213 is a deficient number, since it is larger than the sum of its proper divisors (74059854787).

10122302321213 is a wasteful number, since it uses less digits than its factorization.

10122302321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31952.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10122302321213 its reverse (31212320322101), we get a palindrome (41334622643314).

The spelling of 10122302321213 in words is "ten trillion, one hundred twenty-two billion, three hundred two million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 211 439 4003 27299 92629 844633 1757317 5760089 11984261 109277897 370793887 2528679071 23057636267 47972996783 10122302321213