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31321102211200 = 275271429137029
BaseRepresentation
bin1110001111100100000110…
…01010111101100010000000
311002220021020110120121111001
413013302003022331202000
513101131104131224300
6150340414332301344
76411606053040334
oct707620312754200
9132807213517431
1031321102211200
119a8622872790a
12361a2a5911854
13146274b387599
147a3d413737c4
15394b015db16a
hex1c7c832bd880

31321102211200 has 96 divisors (see below), whose sum is σ = 77374558174500. Its totient is φ = 12528174059520.

The previous prime is 31321102211167. The next prime is 31321102211251. The reversal of 31321102211200 is 211220112313.

It can be written as a sum of positive squares in 6 ways, for example, as 21911104576 + 31299191106624 = 148024^2 + 5594568^2 .

It is a super-2 number, since 2×313211022112002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228504286 + ... + 228641314.

Almost surely, 231321102211200 is an apocalyptic number.

It is an amenable number.

31321102211200 is an abundant number, since it is smaller than the sum of its proper divisors (46053455963300).

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

31321102211200 is a wasteful number, since it uses less digits than its factorization.

31321102211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208482 (or 208465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 31321102211200 its reverse (211220112313), we get a palindrome (31532322323513).

The spelling of 31321102211200 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 71429 137029 142858 274058 285716 357145 548116 571432 685145 714290 1096232 1142864 1370290 1428580 1785725 2192464 2285728 2740580 2857160 3425725 3571450 4384928 4571456 5481160 5714320 6851450 7142900 8769856 9142912 10962320 11428640 13702900 14285800 17539712 21924640 22857280 27405800 28571600 43849280 45714560 54811600 57143200 87698560 109623200 114286400 219246400 228572800 438492800 9787844441 19575688882 39151377764 48939222205 78302755528 97878444410 156605511056 195756888820 244696111025 313211022112 391513777640 489392222050 626422044224 783027555280 978784444100 1252844088448 1566055110560 1957568888200 3132110221120 3915137776400 6264220442240 7830275552800 15660551105600 31321102211200