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10420207512 = 23311133678273
BaseRepresentation
bin10011011010001011…
…11011111110011000
3222220012110101110120
421231011323332120
5132320033120022
64441553113240
7516136205511
oct115505737630
928805411416
1010420207512
114467a32150
122029858820
13ca0a85780
1470bca7a08
1540ec13d5c
hex26d17bf98

10420207512 has 128 divisors (see below), whose sum is σ = 30691906560. Its totient is φ = 2906449920.

The previous prime is 10420207493. The next prime is 10420207541. The reversal of 10420207512 is 21570202401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255408 + ... + 1263680.

It is an arithmetic number, because the mean of its divisors is an integer number (239780520).

Almost surely, 210420207512 is an apocalyptic number.

10420207512 is a gapful number since it is divisible by the number (12) 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 10420207512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345953280).

10420207512 is an abundant number, since it is smaller than the sum of its proper divisors (20271699048).

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

10420207512 is a wasteful number, since it uses less digits than its factorization.

10420207512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 10420207512 its reverse (21570202401), we get a palindrome (31990409913).

The spelling of 10420207512 in words is "ten billion, four hundred twenty million, two hundred seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 367 429 572 734 858 1101 1144 1468 1716 2202 2936 3432 4037 4404 4771 8074 8273 8808 9542 12111 14313 16148 16546 19084 24222 24819 28626 32296 33092 38168 48444 49638 52481 57252 66184 91003 96888 99276 104962 107549 114504 157443 182006 198552 209924 215098 273009 314886 322647 364012 419848 430196 546018 629772 645294 728024 860392 1092036 1183039 1259544 1290588 2184072 2366078 2581176 3036191 3549117 4732156 6072382 7098234 9108573 9464312 12144764 14196468 18217146 24289528 28392936 33398101 36434292 39470483 66796202 72868584 78940966 100194303 118411449 133592404 157881932 200388606 236822898 267184808 315763864 400777212 434175313 473645796 801554424 868350626 947291592 1302525939 1736701252 2605051878 3473402504 5210103756 10420207512