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1020231441516 = 223767544133317
BaseRepresentation
bin11101101100010101000…
…10000101110001101100
310121112101200110010210210
432312022202011301230
5113203413222112031
62100404324302420
7133465200111360
oct16661242056154
93545350403723
101020231441516
113637500623a1
12145889541a10
13752908b8901
14375453772a0
151b81299c746
hexed8a885c6c

1020231441516 has 96 divisors (see below), whose sum is σ = 2761813780992. Its totient is φ = 287082639360.

The previous prime is 1020231441497. The next prime is 1020231441517. The reversal of 1020231441516 is 6151441320201.

It is not an unprimeable number, because it can be changed into a prime (1020231441517) 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, 30605290 + ... + 30638606.

It is an arithmetic number, because the mean of its divisors is an integer number (28768893552).

Almost surely, 21020231441516 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 1020231441516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380906890496).

1020231441516 is an abundant number, since it is smaller than the sum of its proper divisors (1741582339476).

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

1020231441516 is a wasteful number, since it uses less digits than its factorization.

1020231441516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38839 (or 38837 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1020231441516 its reverse (6151441320201), we get a palindrome (7171672761717).

The spelling of 1020231441516 in words is "one trillion, twenty billion, two hundred thirty-one million, four hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5441 5628 10882 16323 21764 32646 33317 38087 65292 66634 76174 99951 114261 133268 152348 199902 228522 233219 364547 399804 457044 466438 699657 729094 932876 1093641 1399314 1458188 2187282 2232239 2551829 2798628 4374564 4464478 5103658 6696717 7655487 8928956 10207316 13393434 15310974 15625673 26786868 30621948 31251346 46877019 62502692 93754038 181277797 187508076 362555594 543833391 725111188 1087666782 1268944579 2175333564 2537889158 3806833737 5075778316 7613667474 12145612399 15227334948 24291224798 36436837197 48582449596 72873674394 85019286793 145747348788 170038573586 255057860379 340077147172 510115720758 1020231441516