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31323033320320 = 275735319806653
BaseRepresentation
bin1110001111100111101100…
…10001100011101110000000
311002220110020001022010012001
413013303312101203232000
513101144033012222240
6150341334114513344
76412004652145150
oct707636621435600
9132813201263161
1031323033320320
119a870297a0765
12361a744595854
131462998490bc1
147a4085a18760
15394bb5de189a
hex1c7cf6463b80

31323033320320 has 128 divisors (see below), whose sum is σ = 85821439515840. Its totient is φ = 10708902150144.

The previous prime is 31323033320263. The next prime is 31323033320323. The reversal of 31323033320320 is 2302333032313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×313230333203202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31323033320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8321887 + ... + 11484766.

Almost surely, 231323033320320 is an apocalyptic number.

It is an amenable number.

31323033320320 is an abundant number, since it is smaller than the sum of its proper divisors (54498406195520).

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

31323033320320 is a wasteful number, since it uses less digits than its factorization.

31323033320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19807032 (or 19807020 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 31323033320320 its reverse (2302333032313), we get a palindrome (33625366352633).

The spelling of 31323033320320 in words is "thirty-one trillion, three hundred twenty-three billion, thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 353 448 560 640 706 896 1120 1412 1765 2240 2471 2824 3530 4480 4942 5648 7060 9884 11296 12355 14120 19768 22592 24710 28240 39536 45184 49420 56480 79072 98840 112960 158144 197680 225920 316288 395360 790720 1581440 19806653 39613306 79226612 99033265 138646571 158453224 198066530 277293142 316906448 396133060 554586284 633812896 693232855 792266120 1109172568 1267625792 1386465710 1584532240 2218345136 2535251584 2772931420 3169064480 4436690272 5545862840 6338128960 6991748509 8873380544 11091725680 12676257920 13983497018 17746761088 22183451360 27966994036 34958742545 44366902720 48942239563 55933988072 69917485090 88733805440 97884479126 111867976144 139834970180 195768958252 223735952288 244711197815 279669940360 391537916504 447471904576 489422395630 559339880720 783075833008 894943809152 978844791260 1118679761440 1566151666016 1957689582520 2237359522880 3132303332032 3915379165040 4474719045760 6264606664064 7830758330080 15661516660160 31323033320320