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11331334413132 = 2233747737438363
BaseRepresentation
bin1010010011100100100000…
…1010011001101101001100
31111010021011011210211010020
42210321020022121231030
52441123033102210012
640033313153542140
72246443013214066
oct244711012315514
944107134724106
1011331334413132
113679656961608
121330108b74950
13642703c11606
142b2622040736
15149b49bcda8c
hexa4e48299b4c

11331334413132 has 96 divisors (see below), whose sum is σ = 28112017339392. Its totient is φ = 3547563111936.

The previous prime is 11331334413131. The next prime is 11331334413173. The reversal of 11331334413132 is 23131443313311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331334413093 and 11331334413102.

It is not an unprimeable number, because it can be changed into a prime (11331334413131) 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 31 ways as a sum of consecutive naturals, for example, 2195818 + ... + 5242545.

It is an arithmetic number, because the mean of its divisors is an integer number (292833513952).

Almost surely, 211331334413132 is an apocalyptic number.

11331334413132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331334413132 is an abundant number, since it is smaller than the sum of its proper divisors (16780682926260).

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

11331334413132 is a wasteful number, since it uses less digits than its factorization.

11331334413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438527 (or 7438525 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

Adding to 11331334413132 its reverse (23131443313311), we get a palindrome (34462777726443).

The spelling of 11331334413132 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty-four million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 47 73 74 94 111 141 146 148 188 219 222 282 292 438 444 564 876 1739 2701 3431 3478 5217 5402 6862 6956 8103 10293 10434 10804 13724 16206 20586 20868 32412 41172 126947 253894 380841 507788 761682 1523364 7438363 14876726 22315089 29753452 44630178 89260356 275219431 349603061 543000499 550438862 699206122 825658293 1048809183 1086000998 1100877724 1398412244 1629001497 1651316586 2097618366 2172001996 3258002994 3302633172 4195236732 6516005988 12935313257 20091018463 25521023453 25870626514 38805939771 40182036926 51042046906 51741253028 60273055389 76563070359 77611879542 80364073852 102084093812 120546110778 153126140718 155223759084 241092221556 306252281436 944277867761 1888555735522 2832833603283 3777111471044 5665667206566 11331334413132