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1130420124 = 223419473907
BaseRepresentation
bin100001101100000…
…1101011110011100
32220210002021220000
41003120031132130
54303341420444
6304100454300
740004261331
oct10330153634
92823067800
101130420124
11530102409
122766aa390
13150271c62
14aa1ba988
1569394469
hex4360d79c

1130420124 has 120 divisors (see below), whose sum is σ = 3177672960. Its totient is φ = 349290144.

The previous prime is 1130420101. The next prime is 1130420131. The reversal of 1130420124 is 4210240311.

It is a super-3 number, since 3×11304201243 (a number of 28 digits) contains 333 as substring.

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 = 1130420097 and 1130420106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287379 + ... + 291285.

It is an arithmetic number, because the mean of its divisors is an integer number (26480608).

Almost surely, 21130420124 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 1130420124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588836480).

1130420124 is an abundant number, since it is smaller than the sum of its proper divisors (2047252836).

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

1130420124 is a wasteful number, since it uses less digits than its factorization.

1130420124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1130420124 is about 33621.7210148440. The cubic root of 1130420124 is about 1041.7095047755.

Adding to 1130420124 its reverse (4210240311), we get a palindrome (5340660435).

The spelling of 1130420124 in words is "one billion, one hundred thirty million, four hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 81 94 108 114 141 162 171 188 228 282 324 342 423 513 564 684 846 893 1026 1269 1539 1692 1786 2052 2538 2679 3078 3572 3807 3907 5076 5358 6156 7614 7814 8037 10716 11721 15228 15628 16074 23442 24111 32148 35163 46884 48222 70326 72333 74233 96444 105489 140652 144666 148466 183629 210978 222699 289332 296932 316467 367258 421956 445398 550887 632934 668097 734516 890796 1101774 1265868 1336194 1652661 2004291 2203548 2672388 3305322 3488951 4008582 4957983 6012873 6610644 6977902 8017164 9915966 10466853 12025746 13955804 14873949 19831932 20933706 24051492 29747898 31400559 41867412 59495796 62801118 94201677 125602236 188403354 282605031 376806708 565210062 1130420124