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10133202040 = 2351329761883
BaseRepresentation
bin10010110111111110…
…00110010001111000
3222011012101222222021
421123333012101320
5131223044431130
64353301404224
7506052540043
oct113377062170
928135358867
1010133202040
11432aa23745
121b69709674
13c56487550
146c1b17c5a
153e492037a
hex25bfc6478

10133202040 has 128 divisors (see below), whose sum is σ = 25462382400. Its totient is φ = 3603640320.

The previous prime is 10133201971. The next prime is 10133202041. The reversal of 10133202040 is 4020233101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133202041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11475439 + ... + 11476321.

Almost surely, 210133202040 is an apocalyptic number.

10133202040 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 10133202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731191200).

10133202040 is an abundant number, since it is smaller than the sum of its proper divisors (15329180360).

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

10133202040 is a wasteful number, since it uses less digits than its factorization.

10133202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10133202040 its reverse (4020233101), we get a palindrome (14153435141).

The spelling of 10133202040 in words is "ten billion, one hundred thirty-three million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 761 883 1160 1508 1522 1766 1885 3016 3044 3532 3770 3805 4415 6088 7064 7540 7610 8830 9893 11479 15080 15220 17660 19786 22069 22958 25607 30440 35320 39572 44138 45916 49465 51214 57395 79144 88276 91832 98930 102428 110345 114790 128035 176552 197860 204856 220690 229580 256070 286897 332891 395720 441380 459160 512140 573794 665782 671963 882760 1024280 1147588 1331564 1343926 1434485 1664455 2295176 2663128 2687852 2868970 3328910 3359815 5375704 5737940 6657820 6719630 8735519 11475880 13315640 13439260 17471038 19486927 26878520 34942076 38973854 43677595 69884152 77947708 87355190 97434635 155895416 174710380 194869270 253330051 349420760 389738540 506660102 779477080 1013320204 1266650255 2026640408 2533300510 5066601020 10133202040