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2131410424 = 2311132192397
BaseRepresentation
bin111111100001010…
…1011110111111000
312111112121212102211
41333002223313320
513331120113144
6551255304504
7103550455363
oct17702536770
95445555384
102131410424
119a4142220
124b597b134
1327c767b00
141631050da
15c71be034
hex7f0abdf8

2131410424 has 144 divisors (see below), whose sum is σ = 4994955720. Its totient is φ = 845095680.

The previous prime is 2131410403. The next prime is 2131410427. The reversal of 2131410424 is 4240141312.

It is a happy number.

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 = 2131410395 and 2131410404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131410427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5368594 + ... + 5368990.

Almost surely, 22131410424 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 2131410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497477860).

2131410424 is an abundant number, since it is smaller than the sum of its proper divisors (2863545296).

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

2131410424 is a wasteful number, since it uses less digits than its factorization.

2131410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2131410424 is about 46167.2007381864. The cubic root of 2131410424 is about 1286.9322822582.

Adding to 2131410424 its reverse (4240141312), we get a palindrome (6371551736).

The spelling of 2131410424 in words is "two billion, one hundred thirty-one million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 169 209 247 286 338 361 397 418 494 572 676 722 794 836 988 1144 1352 1444 1588 1672 1859 1976 2717 2888 3176 3211 3718 3971 4367 4693 5161 5434 6422 7436 7543 7942 8734 9386 10322 10868 12844 14872 15086 15884 17468 18772 20644 21736 25688 30172 31768 34936 35321 37544 41288 51623 56771 60344 61009 67093 70642 82973 98059 103246 113542 122018 134186 141284 143317 165946 196118 206492 227084 244036 268372 282568 286634 331892 392236 412984 454168 488072 536744 573268 663784 671099 738023 784472 1078649 1146536 1274767 1342198 1476046 1576487 1863121 2157298 2549534 2684396 2952092 3152974 3726242 4314596 5099068 5368792 5904184 6305948 7452484 8629192 10198136 12611896 14022437 14904968 20494331 24220573 28044874 40988662 48441146 56089748 81977324 96882292 112179496 163954648 193764584 266426303 532852606 1065705212 2131410424