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31120202001330 = 23251359450821411
BaseRepresentation
bin1110001001101101111001…
…00101011110101110110010
311002012001200101101112012100
413010312330211132232302
513034333133203020310
6150104231243441230
76361234421321631
oct704667445365662
9132161611345170
1031120202001330
119a09004800712
1235a7378826216
1314498126ca360
147983238bd518
1538e7940e7ec0
hex1c4dbc95ebb2

31120202001330 has 96 divisors (see below), whose sum is σ = 88613456742720. Its totient is φ = 7530520832640.

The previous prime is 31120202001307. The next prime is 31120202001337. The reversal of 31120202001330 is 3310020202113.

31120202001330 is a `hidden beast` number, since 3 + 112 + 0 + 20 + 200 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31120202001337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225341676 + ... + 225479735.

It is an arithmetic number, because the mean of its divisors is an integer number (923056841070).

Almost surely, 231120202001330 is an apocalyptic number.

31120202001330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31120202001330 is an abundant number, since it is smaller than the sum of its proper divisors (57493254741390).

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

31120202001330 is a wasteful number, since it uses less digits than its factorization.

31120202001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450821496 (or 450821493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31120202001330 its reverse (3310020202113), we get a palindrome (34430222203443).

The spelling of 31120202001330 in words is "thirty-one trillion, one hundred twenty billion, two hundred two million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3835 4602 5310 6903 7670 11505 13806 23010 34515 69030 450821411 901642822 1352464233 2254107055 2704928466 4057392699 4508214110 5860678343 6762321165 8114785398 11721356686 13524642330 17582035029 20286963495 26598463249 29303391715 35164070058 40573926990 52746105087 53196926498 58606783430 79795389747 87910175145 105492210174 132992316245 159590779494 175820350290 239386169241 263730525435 265984632490 345780022237 398976948735 478772338482 527461050870 691560044474 797953897470 1037340066711 1196930846205 1728900111185 2074680133422 2393861692410 3112020200133 3457800222370 5186700333555 6224040400266 10373400667110 15560101000665 31120202001330