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11311311300132 = 22323122935939281
BaseRepresentation
bin1010010010011001111010…
…1100010010011000100100
31111001100110201210021210110
42210212132230102120210
52440311031143101012
640020202241053020
72245133560444254
oct244463654223044
944040421707713
1011311311300132
113671111386438
12132825b327170
1364086280365c
142b1682a5d964
15149376de973c
hexa499eb12624

11311311300132 has 96 divisors (see below), whose sum is σ = 27573634932480. Its totient is φ = 3602179440640.

The previous prime is 11311311300127. The next prime is 11311311300137. The reversal of 11311311300132 is 23100311311311.

It is an interprime number because it is at equal distance from previous prime (11311311300127) and next prime (11311311300137).

It is a junction number, because it is equal to n+sod(n) for n = 11311311300099 and 11311311300108.

It is not an unprimeable number, because it can be changed into a prime (11311311300137) 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, 1218755332 + ... + 1218764612.

It is an arithmetic number, because the mean of its divisors is an integer number (287225363880).

Almost surely, 211311311300132 is an apocalyptic number.

11311311300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311311300132 is an abundant number, since it is smaller than the sum of its proper divisors (16262323632348).

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

11311311300132 is a wasteful number, since it uses less digits than its factorization.

11311311300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133 (or 14131 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11311311300132 its reverse (23100311311311), we get a palindrome (34411622611443).

The spelling of 11311311300132 in words is "eleven trillion, three hundred eleven billion, three hundred eleven million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 1229 2458 3593 3687 4916 7186 7374 9281 10779 14372 14748 18562 21558 27843 28267 37124 43116 55686 56534 82639 84801 111372 113068 165278 169602 213463 247917 330556 339204 426926 495834 640389 853852 991668 1280778 2561556 4415797 8831594 11406349 13247391 17663188 22812698 26494782 33346633 34219047 45625396 52989564 66693266 68438094 100039899 101563331 133386532 136876188 200079798 203126662 262346027 304689993 400159596 406253324 524692054 609379986 766972559 787038081 1049384108 1218759972 1533945118 1574076162 2300917677 3067890236 3148152324 4601835354 9203670708 40983011957 81966023914 122949035871 163932047828 245898071742 491796143484 942609275011 1885218550022 2827827825033 3770437100044 5655655650066 11311311300132