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1331101152 = 25326776827
BaseRepresentation
bin100111101010110…
…1111110111100000
310102202200221111200
41033111233313200
510211230214102
6340030041200
744662113243
oct11725576740
93382627450
101331101152
1162340aaa7
12311949200
13182a07224
14c8ad925a
157bcd551c
hex4f56fde0

1331101152 has 72 divisors (see below), whose sum is σ = 3791465496. Its totient is φ = 442980096.

The previous prime is 1331101151. The next prime is 1331101169. The reversal of 1331101152 is 2511011331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191563 + ... + 198389.

It is an arithmetic number, because the mean of its divisors is an integer number (52659243).

Almost surely, 21331101152 is an apocalyptic number.

1331101152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895732748).

1331101152 is an abundant number, since it is smaller than the sum of its proper divisors (2460364344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331101152 is a wasteful number, since it uses less digits than its factorization.

1331101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1331101152 is about 36484.2589619140. The cubic root of 1331101152 is about 1100.0278648589.

Adding to 1331101152 its reverse (2511011331), we get a palindrome (3842112483).

The spelling of 1331101152 in words is "one billion, three hundred thirty-one million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 677 1354 2031 2708 4062 5416 6093 6827 8124 10832 12186 13654 16248 20481 21664 24372 27308 32496 40962 48744 54616 61443 64992 81924 97488 109232 122886 163848 194976 218464 245772 327696 491544 655392 983088 1966176 4621879 9243758 13865637 18487516 27731274 36975032 41596911 55462548 73950064 83193822 110925096 147900128 166387644 221850192 332775288 443700384 665550576 1331101152