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1076101100020 = 225534214335569
BaseRepresentation
bin11111010100011001001…
…11111011000111110100
310210212121100001212012001
433222030213323013310
5120112323340200040
62142204245105044
7140513534300212
oct17521447730764
93725540055161
101076101100020
11385410020791
121546800b8184
137a62571933b
143a125467cb2
151ced27d059a
hexfa8c9fb1f4

1076101100020 has 96 divisors (see below), whose sum is σ = 2313664728480. Its totient is φ = 420267294720.

The previous prime is 1076101100017. The next prime is 1076101100023. The reversal of 1076101100020 is 200011016701.

It is an interprime number because it is at equal distance from previous prime (1076101100017) and next prime (1076101100023).

It can be written as a sum of positive squares in 16 ways, for example, as 856816814736 + 219284285284 = 925644^2 + 468278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076101100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193227796 + ... + 193233364.

It is an arithmetic number, because the mean of its divisors is an integer number (24100674255).

Almost surely, 21076101100020 is an apocalyptic number.

1076101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076101100020 is an abundant number, since it is smaller than the sum of its proper divisors (1237563628460).

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

1076101100020 is a wasteful number, since it uses less digits than its factorization.

1076101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1076101100020 its reverse (200011016701), we get a palindrome (1276112116721).

The spelling of 1076101100020 in words is "one trillion, seventy-six billion, one hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 421 433 530 842 866 1060 1684 1732 2105 2165 4210 4330 5569 8420 8660 11138 22276 22313 22949 27845 44626 45898 55690 89252 91796 111380 111565 114745 182293 223130 229490 295157 364586 446260 458980 590314 729172 911465 1180628 1475785 1822930 2344549 2411377 2951570 3645860 4689098 4822754 5903140 9378196 9645508 9661529 11722745 12056885 19323058 23445490 24113770 38646116 46890980 48227540 48307645 96615290 124261097 127802981 193230580 248522194 255605962 497044388 511211924 621305485 639014905 1015189717 1242610970 1278029810 2030379434 2485221940 2556059620 4060758868 5075948585 10151897170 20303794340 53805055001 107610110002 215220220004 269025275005 538050550010 1076101100020