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10300022040 = 23357111114721
BaseRepresentation
bin10011001011110110…
…11101110100011000
3222120211022022222210
421211323131310120
5132043301201130
64422021115120
7513146512530
oct114573356430
928524268883
1010300022040
114406104010
121bb5558aa0
13c81bc52c9
146d9d404c0
154043c35b0
hex265eddd18

10300022040 has 128 divisors (see below), whose sum is σ = 38524792320. Its totient is φ = 2140262400.

The previous prime is 10300022039. The next prime is 10300022063. The reversal of 10300022040 is 4022000301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 548121 + ... + 566600.

It is an arithmetic number, because the mean of its divisors is an integer number (300974940).

Almost surely, 210300022040 is an apocalyptic number.

10300022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300022040 is an abundant number, since it is smaller than the sum of its proper divisors (28224770280).

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

10300022040 is a wasteful number, since it uses less digits than its factorization.

10300022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114753 (or 1114749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10300022040 its reverse (4022000301), we get a palindrome (14322022341).

The spelling of 10300022040 in words is "ten billion, three hundred million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1114721 2229442 3344163 4458884 5573605 6688326 7803047 8917768 11147210 12261931 13376652 15606094 16720815 22294420 23409141 24523862 26753304 31212188 33441630 36785793 39015235 44588840 46818282 49047724 61309655 62424376 66883260 73571586 78030470 85833517 93636564 98095448 117045705 122619310 133766520 147143172 156060940 171667034 183928965 187273128 234091410 245238620 257500551 294286344 312121880 343334068 367857930 429167585 468182820 490477240 515001102 686668136 735715860 858335170 936365640 1030002204 1287502755 1471431720 1716670340 2060004408 2575005510 3433340680 5150011020 10300022040