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1122332231020 = 2257111356060551
BaseRepresentation
bin10000010101010000001…
…101101100010101101100
310222021221021002122111011
4100111100031230111230
5121342014022343040
62215331534435004
7144041303362540
oct20252015542554
93867837078434
101122332231020
113a2a84315770
12161622962a64
1381ab2701660
143c46d40ba20
151e2db3583ea
hex1055036c56c

1122332231020 has 96 divisors (see below), whose sum is σ = 3164506039296. Its totient is φ = 322908768000.

The previous prime is 1122332231011. The next prime is 1122332231021. The reversal of 1122332231020 is 201322332211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1122332230982 and 1122332231000.

It is not an unprimeable number, because it can be changed into a prime (1122332231021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28010256 + ... + 28050295.

It is an arithmetic number, because the mean of its divisors is an integer number (32963604576).

Almost surely, 21122332231020 is an apocalyptic number.

1122332231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122332231020 is an abundant number, since it is smaller than the sum of its proper divisors (2042173808276).

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

1122332231020 is a wasteful number, since it uses less digits than its factorization.

1122332231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56060591 (or 56060589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1122332231020 its reverse (201322332211), we get a palindrome (1323654563231).

The spelling of 1122332231020 in words is "one trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 56060551 112121102 224242204 280302755 392423857 560605510 616666061 728787163 784847714 1121211020 1233332122 1457574326 1569695428 1962119285 2466664244 2915148652 3083330305 3643935815 3924238570 4316662427 5101510141 6166660610 7287871630 7848477140 8016658793 8633324854 10203020282 12333321220 14575743260 16033317586 17266649708 20406040564 21583312135 25507550705 32066635172 40083293965 43166624270 51015101410 56116611551 80166587930 86333248540 102030202820 112233223102 160333175860 224466446204 280583057755 561166115510 1122332231020