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1051531424300 = 225273734439091
BaseRepresentation
bin11110100110101000010…
…10000011001000101100
310201112012000220000022102
433103110022003020230
5114212014021034200
62123022235434232
7135653633426450
oct17232412031054
93645160800272
101051531424300
11375a52091765
1214b9638b5978
137820b3b0b96
1438c742da660
151c5457b16d5
hexf4d428322c

1051531424300 has 144 divisors (see below), whose sum is σ = 2620980079872. Its totient is φ = 358707398400.

The previous prime is 1051531424261. The next prime is 1051531424329. The reversal of 1051531424300 is 34241351501.

It is a super-2 number, since 2×10515314243002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115662755 + ... + 115671845.

Almost surely, 21051531424300 is an apocalyptic number.

1051531424300 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 1051531424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310490039936).

1051531424300 is an abundant number, since it is smaller than the sum of its proper divisors (1569448655572).

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

1051531424300 is a wasteful number, since it uses less digits than its factorization.

1051531424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 1051531424300 its reverse (34241351501), we get a palindrome (1085772775801).

The spelling of 1051531424300 in words is "one trillion, fifty-one billion, five hundred thirty-one million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 373 443 700 746 886 1492 1772 1865 2215 2611 3101 3730 4430 5222 6202 7460 8860 9091 9325 10444 11075 12404 13055 15505 18182 18650 22150 26110 31010 36364 37300 44300 45455 52220 62020 63637 65275 77525 90910 127274 130550 155050 165239 181820 227275 254548 261100 310100 318185 330478 454550 636370 660956 826195 909100 1156673 1272740 1590925 1652390 2313346 3181850 3304780 3390943 4027313 4130975 4626692 5783365 6363700 6781886 8054626 8261950 11566730 13563772 16109252 16523900 16954715 20136565 23133460 23736601 28191191 28916825 33909430 40273130 47473202 56382382 57833650 67818860 80546260 84773575 94946404 100682825 112764764 115667300 118683005 140955955 169547150 201365650 237366010 281911910 339094300 402731300 474732020 563823820 593415025 704779775 1186830050 1409559550 1502187749 2373660100 2819119100 3004375498 6008750996 7510938745 10515314243 15021877490 21030628486 30043754980 37554693725 42061256972 52576571215 75109387450 105153142430 150218774900 210306284860 262882856075 525765712150 1051531424300