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10144331113213 = 1131711014148483
BaseRepresentation
bin1001001110011110100101…
…0000001010001011111101
31022220210021212200110222001
42103213221100022023331
52312201042231110323
633324124045422301
72064621660512653
oct223475120121375
938823255613861
1010144331113213
1132612064a6670
12117a057b6a991
135877b61115ab
14270db9a62dd3
15128d25ee23ad
hex939e940a2fd

10144331113213 has 32 divisors (see below), whose sum is σ = 11699123134464. Its totient is φ = 8711812200000.

The previous prime is 10144331113199. The next prime is 10144331113219. The reversal of 10144331113213 is 31231113344101.

10144331113213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144331113213 - 29 = 10144331112701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144331113219) 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, 371070 + ... + 4519552.

It is an arithmetic number, because the mean of its divisors is an integer number (365597597952).

Almost surely, 210144331113213 is an apocalyptic number.

It is an amenable number.

10144331113213 is a deficient number, since it is larger than the sum of its proper divisors (1554792021251).

10144331113213 is a wasteful number, since it uses less digits than its factorization.

10144331113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148697.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 10144331113213 its reverse (31231113344101), we get a palindrome (41375444457314).

The spelling of 10144331113213 in words is "ten trillion, one hundred forty-four billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 11 31 71 101 341 781 1111 2201 3131 7171 24211 34441 78881 222301 2445311 4148483 45633313 128602973 294542293 418996783 1414632703 3239965223 4608964613 9130811083 12988900273 29748771593 100438921913 142877903003 327236487523 922211919383 10144331113213