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2021431530040 = 2351319373548521
BaseRepresentation
bin11101011010100110101…
…101010101001000111000
321011020200001001101020221
4131122212231111020320
5231104342432430130
64144344405025424
7266020646334646
oct35324655251070
97136601041227
102021431530040
1170a31444458a
122879253b5274
1311880a6a9cb0
146dba2d34196
15378ae76a87a
hex1d6a6b55238

2021431530040 has 128 divisors (see below), whose sum is σ = 5169710145600. Its totient is φ = 705194864640.

The previous prime is 2021431529939. The next prime is 2021431530043. The reversal of 2021431530040 is 400351341202.

It is a junction number, because it is equal to n+sod(n) for n = 2021431529987 and 2021431530014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021431530043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3410980 + ... + 3959500.

Almost surely, 22021431530040 is an apocalyptic number.

2021431530040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021431530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584855072800).

2021431530040 is an abundant number, since it is smaller than the sum of its proper divisors (3148278615560).

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

2021431530040 is a wasteful number, since it uses less digits than its factorization.

2021431530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548937 (or 548933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2021431530040 its reverse (400351341202), we get a palindrome (2421782871242).

The spelling of 2021431530040 in words is "two trillion, twenty-one billion, four hundred thirty-one million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 373 380 494 520 746 760 988 1235 1492 1865 1976 2470 2984 3730 4849 4940 7087 7460 9698 9880 14174 14920 19396 24245 28348 35435 38792 48490 56696 70870 92131 96980 141740 184262 193960 283480 368524 460655 548521 737048 921310 1097042 1842620 2194084 2742605 3685240 4388168 5485210 7130773 10421899 10970420 14261546 20843798 21940840 28523092 35653865 41687596 52109495 57046184 71307730 83375192 104218990 135484687 142615460 204598333 208437980 270969374 285230920 409196666 416875960 541938748 677423435 818393332 1022991665 1083877496 1354846870 1636786664 2045983330 2659778329 2709693740 3887368327 4091966660 5319556658 5419387480 7774736654 8183933320 10639113316 13298891645 15549473308 19436841635 21278226632 26597783290 31098946616 38873683270 50535788251 53195566580 77747366540 101071576502 106391133160 155494733080 202143153004 252678941255 404286306008 505357882510 1010715765020 2021431530040