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1230331111020 = 22325113311877279
BaseRepresentation
bin10001111001110101011…
…100101110011001101100
311100121200220001012021200
4101321311130232121230
5130124204231023040
62341112321325500
7154613515615104
oct21716534563154
94317626035250
101230331111020
114348649237a0
1217a543496890
138c03445148b
1443796924204
152200c91b630
hex11e7572e66c

1230331111020 has 144 divisors (see below), whose sum is σ = 4083579601920. Its totient is φ = 297360835200.

The previous prime is 1230331111001. The next prime is 1230331111021. The reversal of 1230331111020 is 201111330321.

1230331111020 is a `hidden beast` number, since 1 + 230 + 331 + 1 + 1 + 102 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1230331110984 and 1230331111002.

It is not an unprimeable number, because it can be changed into a prime (1230331111021) 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 47 ways as a sum of consecutive naturals, for example, 283260 + ... + 1594019.

It is an arithmetic number, because the mean of its divisors is an integer number (28358191680).

Almost surely, 21230331111020 is an apocalyptic number.

1230331111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230331111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041789800960).

1230331111020 is an abundant number, since it is smaller than the sum of its proper divisors (2853248490900).

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

1230331111020 is a wasteful number, since it uses less digits than its factorization.

1230331111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877636 (or 1877631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1230331111020 its reverse (201111330321), we get a palindrome (1431442441341).

The spelling of 1230331111020 in words is "one trillion, two hundred thirty billion, three hundred thirty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 331 396 495 660 662 990 993 1324 1655 1980 1986 2979 3310 3641 3972 4965 5958 6620 7282 9930 10923 11916 14564 14895 18205 19860 21846 29790 32769 36410 43692 54615 59580 65538 72820 109230 131076 163845 218460 327690 655380 1877279 3754558 5631837 7509116 9386395 11263674 16895511 18772790 20650069 22527348 28159185 33791022 37545580 41300138 56318370 61950207 67582044 82600276 84477555 103250345 112636740 123900414 168955110 185850621 206500690 247800828 309751035 337910220 371701242 413001380 619502070 621379349 743402484 929253105 1239004140 1242758698 1858506210 1864138047 2485517396 3106896745 3717012420 3728276094 5592414141 6213793490 6835172839 7456552188 9320690235 11184828282 12427586980 13670345678 18641380470 20505518517 22369656564 27340691356 27962070705 34175864195 37282760940 41011037034 55924141410 61516555551 68351728390 82022074068 102527592585 111848282820 123033111102 136703456780 205055185170 246066222204 307582777755 410110370340 615165555510 1230331111020