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1331101033241 = 722329311130957
BaseRepresentation
bin10011010111101011110…
…011011110001100011001
311201020210201102122021012
4103113223303132030121
5133302043331030431
62455255510423305
7165111632045600
oct23275363361431
94636721378235
101331101033241
11473575916851
12195b87061b35
13986a36125a5
14485d5d20a37
152495953b22b
hex135ebcde319

1331101033241 has 48 divisors (see below), whose sum is σ = 1676849091840. Its totient is φ = 1050309025920.

The previous prime is 1331101033231. The next prime is 1331101033253. The reversal of 1331101033241 is 1423301011331.

It is not a de Polignac number, because 1331101033241 - 26 = 1331101033177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331101033231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10098935 + ... + 10229891.

It is an arithmetic number, because the mean of its divisors is an integer number (34934356080).

Almost surely, 21331101033241 is an apocalyptic number.

It is an amenable number.

1331101033241 is a deficient number, since it is larger than the sum of its proper divisors (345748058599).

1331101033241 is a wasteful number, since it uses less digits than its factorization.

1331101033241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131334 (or 131327 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1331101033241 its reverse (1423301011331), we get a palindrome (2754402044572).

The spelling of 1331101033241 in words is "one trillion, three hundred thirty-one billion, one hundred one million, thirty-three thousand, two hundred forty-one".

Divisors: 1 7 23 29 49 161 203 311 667 1127 1421 2177 4669 7153 9019 15239 32683 50071 63133 130957 207437 350497 441931 916699 1452059 3012011 3797753 6416893 10164413 21084077 26584271 40727627 87348319 147588539 186089897 285093389 611438233 936735421 1181101183 1995653723 4280067631 6557147947 8267708281 27165327209 45900035629 57873957967 190157290463 1331101033241