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1010530352216 = 2371140119492099
BaseRepresentation
bin11101011010010000100…
…11010111110001011000
310120121100121010202002002
432231020103113301120
5113024031232232331
62052121540300132
7133002612161240
oct16551023276130
93517317122062
101010530352216
1135a622048420
12143a206a1648
13743a5b07498
1436ca4bc2b20
151b445e859cb
hexeb484d7c58

1010530352216 has 128 divisors (see below), whose sum is σ = 2370513600000. Its totient is φ = 392342784000.

The previous prime is 1010530352197. The next prime is 1010530352231. The reversal of 1010530352216 is 6122530350101.

1010530352216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105303522162 (a number of 25 digits) contains 22 as substring.

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, 481433135 + ... + 481435233.

It is an arithmetic number, because the mean of its divisors is an integer number (18519637500).

Almost surely, 21010530352216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010530352216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185256800000).

1010530352216 is an abundant number, since it is smaller than the sum of its proper divisors (1359983247784).

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

1010530352216 is a wasteful number, since it uses less digits than its factorization.

1010530352216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 1010530352216 in words is "one trillion, ten billion, five hundred thirty million, three hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 401 616 802 1604 1949 2099 2807 3208 3898 4198 4411 5614 7796 8396 8822 11228 13643 14693 15592 16792 17644 21439 22456 23089 27286 29386 30877 35288 42878 46178 54572 58772 61754 85756 92356 109144 117544 123508 150073 161623 171512 184712 247016 300146 323246 600292 646492 781549 841699 1200584 1292984 1563098 1683398 3126196 3366796 4090951 5470843 5891893 6252392 6733592 8181902 8597039 9258689 10941686 11783786 16363804 17194078 18517378 21883372 23567572 28636657 32727608 34388156 37034756 43766744 45000461 47135144 57273314 60179273 64810823 68776312 74069512 90000922 114546628 120358546 129621646 180001844 229093256 240717092 259243292 315003227 360003688 481434184 518486584 630006454 1260012908 1640471351 2520025816 3280942702 6561885404 11483299457 13123770808 18045184861 22966598914 36090369722 45933197828 72180739444 91866395656 126316294027 144361478888 252632588054 505265176108 1010530352216