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1311302031000 = 233531333623129
BaseRepresentation
bin10011000101001111101…
…100010001011010011000
311122100200220010010002220
4103011033230101122120
5132441021304443000
62442223121224040
7163511200233153
oct23051754213230
94570626103086
101311302031000
114661358a1385
12192180492020
1396869781150
14476785dac9a
152419b2751a0
hex1314fb11698

1311302031000 has 128 divisors (see below), whose sum is σ = 4405974955200. Its totient is φ = 322782028800.

The previous prime is 1311302030989. The next prime is 1311302031007. The reversal of 1311302031000 is 1302031131.

It is a super-2 number, since 2×13113020310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311302031007) 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, 16772565 + ... + 16850564.

Almost surely, 21311302031000 is an apocalyptic number.

1311302031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311302031000 is an abundant number, since it is smaller than the sum of its proper divisors (3094672924200).

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

1311302031000 is a wasteful number, since it uses less digits than its factorization.

1311302031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33623166 (or 33623152 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1311302031000 its reverse (1302031131), we get a palindrome (1312604062131).

The spelling of 1311302031000 in words is "one trillion, three hundred eleven billion, three hundred two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 33623129 67246258 100869387 134492516 168115645 201738774 268985032 336231290 403477548 437100677 504346935 672462580 806955096 840578225 874201354 1008693870 1311302031 1344925160 1681156450 1748402708 2017387740 2185503385 2521734675 2622604062 3362312900 3496805416 4034775480 4202891125 4371006770 5043469350 5245208124 6556510155 6724625800 8405782250 8742013540 10086938700 10490416248 10927516925 12608673375 13113020310 16811564500 17484027080 20173877400 21855033850 25217346750 26226040620 32782550775 33623129000 43710067700 50434693500 52452081240 54637584625 65565101550 87420135400 100869387000 109275169250 131130203100 163912753875 218550338500 262260406200 327825507750 437100677000 655651015500 1311302031000