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10010000101101 = 3721113237990001
BaseRepresentation
bin1001000110101010001010…
…0000000000111011101101
31022102221120010012000122020
42101222202200000323231
52303000440011213401
633142310333540353
72052125063660100
oct221524240007355
938387503160566
1010010000101101
11320a243107a90
1211580089446b9
13577c28b7ca00
142686b52ba737
151255b2d20d36
hex91aa2800eed

10010000101101 has 144 divisors (see below), whose sum is σ = 18835920612288. Its totient is φ = 4670265600000.

The previous prime is 10010000101099. The next prime is 10010000101111. The reversal of 10010000101101 is 10110100001001.

It is not a de Polignac number, because 10010000101101 - 21 = 10010000101099 is a prime.

10010000101101 is a modest number, since divided by 101101 gives 100100 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000101111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9616101 + ... + 10606101.

It is an arithmetic number, because the mean of its divisors is an integer number (130805004252).

Almost surely, 210010000101101 is an apocalyptic number.

10010000101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010000101101 is a deficient number, since it is larger than the sum of its proper divisors (8825920511187).

10010000101101 is a wasteful number, since it uses less digits than its factorization.

10010000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990092 (or 990072 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10010000101101 its reverse (10110100001001), we get a palindrome (20120100102102).

It can be divided in two parts, 10010000 and 101101, that added together give a palindrome (10111101).

The spelling of 10010000101101 in words is "ten trillion, ten billion, one hundred one thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 169 231 259 273 407 429 481 507 539 637 777 1001 1183 1221 1443 1617 1813 1859 1911 2849 3003 3367 3549 5291 5439 5577 6253 7007 8281 8547 10101 13013 15873 18759 19943 21021 23569 24843 37037 39039 43771 59829 68783 70707 91091 111111 131313 206349 259259 273273 306397 481481 777777 919191 990001 1444443 2970003 3370367 6930007 10111101 10890011 12870013 20790021 32670033 36630037 38610039 48510049 76230077 90090091 109890111 141570143 145530147 167310169 228690231 256410259 270270273 402930407 424710429 476190481 501930507 533610539 630630637 769230777 990991001 1171171183 1208791221 1428571443 1600831617 1794871813 1840411859 1891891911 2820512849 2972973003 3333333367 3513513549 5238095291 5384615439 5521235577 6190476253 6936937007 8198198281 8461538547 10000000101 12882883013 15714285873 18571428759 19743589943 20810811021 23333333569 24594594843 36666667037 38648649039 43333333771 59230769829 68095238783 70000000707 90180181091 110000001111 130000001313 204285716349 256666669259 270540543273 303333336397 476666671481 770000007777 910000009191 1430000014443 3336666700367 10010000101101