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1120421322324 = 223440923773557
BaseRepresentation
bin10000010011011110010…
…100001001111001010100
310222010000002101102120000
4100103132110021321110
5121324110324303244
62214414153211300
7143643041050263
oct20233624117124
93863002342500
101120421322324
113a2193699787
1216118aa00b30
138186984b755
143c32b7045da
151e2286e3169
hex104de509e54

1120421322324 has 120 divisors (see below), whose sum is σ = 2938225077480. Its totient is φ = 372299203584.

The previous prime is 1120421322323. The next prime is 1120421322329. The reversal of 1120421322324 is 4232231240211.

1120421322324 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 421 + 3 + 2 + 232 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146512872900 + 973908449424 = 382770^2 + 986868^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120421322323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314988754 + ... + 314992310.

It is an arithmetic number, because the mean of its divisors is an integer number (24485208979).

Almost surely, 21120421322324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120421322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469112538740).

1120421322324 is an abundant number, since it is smaller than the sum of its proper divisors (1817803755156).

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

1120421322324 is a wasteful number, since it uses less digits than its factorization.

1120421322324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1120421322324 its reverse (4232231240211), we get a palindrome (5352652562535).

The spelling of 1120421322324 in words is "one trillion, one hundred twenty billion, four hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 409 818 1227 1636 2377 2454 3557 3681 4754 4908 7114 7131 7362 9508 10671 11043 14228 14262 14724 21342 21393 22086 28524 32013 33129 42684 42786 44172 64026 64179 66258 85572 96039 128052 128358 132516 192078 192537 256716 288117 384156 385074 576234 770148 972193 1152468 1454813 1944386 2909626 2916579 3888772 4364439 5819252 5833158 8454989 8728878 8749737 11666316 13093317 16909978 17457756 17499474 25364967 26186634 26249211 33819956 34998948 39279951 50729934 52373268 52498422 76094901 78559902 78747633 101459868 104996844 117839853 152189802 157119804 157495266 228284703 235679706 304379604 314990532 456569406 471359412 684854109 913138812 1369708218 2739416436 3458090501 6916181002 10374271503 13832362004 20748543006 31122814509 41497086012 62245629018 93368443527 124491258036 186736887054 280105330581 373473774108 560210661162 1120421322324