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1121821428 = 2237133121069
BaseRepresentation
bin100001011011101…
…1010001011110100
32220011220102200210
41002313122023310
54244141241203
6303152305420
736541216260
oct10267321364
92804812623
101121821428
1152626a052
12273842270
1314b551180
14a8dbd0a0
1568746803
hex42dda2f4

1121821428 has 144 divisors (see below), whose sum is σ = 3332031360. Its totient is φ = 286053120.

The previous prime is 1121821417. The next prime is 1121821433. The reversal of 1121821428 is 8241281211.

1121821428 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1121821395 and 1121821404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048878 + ... + 1049946.

Almost surely, 21121821428 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 1121821428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666015680).

1121821428 is an abundant number, since it is smaller than the sum of its proper divisors (2210209932).

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

1121821428 is a wasteful number, since it uses less digits than its factorization.

1121821428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1125 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 1121821428 is about 33493.6027921751. The cubic root of 1121821428 is about 1039.0614770252.

The spelling of 1121821428 in words is "one billion, one hundred twenty-one million, eight hundred twenty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 961 1069 1092 1209 1302 1612 1922 2138 2418 2604 2821 2883 3207 3844 4276 4836 5642 5766 6414 6727 7483 8463 11284 11532 12493 12828 13454 13897 14966 16926 20181 22449 24986 26908 27794 29932 33139 33852 37479 40362 41691 44898 49972 55588 66278 74958 80724 83382 87451 89796 97279 99417 132556 149916 166764 174902 194558 198834 231973 262353 291837 349804 389116 397668 430807 463946 524706 583674 695919 861614 927892 1027309 1049412 1167348 1292421 1391838 1723228 2054618 2584842 2783676 3015649 3081927 4109236 5169684 6031298 6163854 7191163 9046947 12062596 12327708 13355017 14382326 18093894 21573489 26710034 28764652 36187788 40065051 43146978 53420068 80130102 86293956 93485119 160260204 186970238 280455357 373940476 560910714 1121821428