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10421201040 = 243529251631
BaseRepresentation
bin10011011010010011…
…01110100010010000
3222220021022212022220
421231021232202100
5132320311413130
64442030301040
7516150514215
oct115511564220
928807285286
1010421201040
114468550648
12202a057780
13ca1042a63
1470c085b0c
1540ed5d410
hex26d26e890

10421201040 has 120 divisors (see below), whose sum is σ = 33458775168. Its totient is φ = 2683107840.

The previous prime is 10421200987. The next prime is 10421201053. The reversal of 10421201040 is 4010212401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×104212010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176025 + ... + 227655.

Almost surely, 210421201040 is an apocalyptic number.

10421201040 is a gapful number since it is divisible by the number (10) 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 10421201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729387584).

10421201040 is an abundant number, since it is smaller than the sum of its proper divisors (23037574128).

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

10421201040 is a wasteful number, since it uses less digits than its factorization.

10421201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51705 (or 51670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10421201040 its reverse (4010212401), we get a palindrome (14431413441).

The spelling of 10421201040 in words is "ten billion, four hundred twenty-one million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 841 870 1160 1392 1682 1740 2320 2523 3364 3480 4205 5046 6728 6960 8410 10092 12615 13456 16820 20184 25230 33640 40368 50460 51631 67280 100920 103262 154893 201840 206524 258155 309786 413048 516310 619572 774465 826096 1032620 1239144 1497299 1548930 2065240 2478288 2994598 3097860 4130480 4491897 5989196 6195720 7486495 8983794 11978392 12391440 14972990 17967588 22459485 23956784 29945980 35935176 43421671 44918970 59891960 71870352 86843342 89837940 119783920 130265013 173686684 179675880 217108355 260530026 347373368 359351760 434216710 521060052 651325065 694746736 868433420 1042120104 1302650130 1736866840 2084240208 2605300260 3473733680 5210600520 10421201040