Search a number
-
+
10000000112121 = 331767385337951
BaseRepresentation
bin1001000110000100111001…
…1101000101010111111001
31022101222202012102221122000
42101201032131011113321
52302320000012041441
633133534151251213
72051322216322215
oct221411635052771
938358665387560
1010000000112121
113205a81400288
121156097979b09
13576cc4197576
1426800715b945
151251c9e662b6
hex9184e7455f9

10000000112121 has 64 divisors (see below), whose sum is σ = 15728413962240. Its totient is φ = 6257676902400.

The previous prime is 10000000112093. The next prime is 10000000112153. The reversal of 10000000112121 is 12121100000001.

It is a happy number.

10000000112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000000112121 - 27 = 10000000111993 is a prime.

It is a super-2 number, since 2×100000001121212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000000112191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263478696 + ... + 263516646.

It is an arithmetic number, because the mean of its divisors is an integer number (245756468160).

Almost surely, 210000000112121 is an apocalyptic number.

It is an amenable number.

10000000112121 is a deficient number, since it is larger than the sum of its proper divisors (5728413850119).

10000000112121 is a wasteful number, since it uses less digits than its factorization.

10000000112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39503 (or 39497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000000112121 its reverse (12121100000001), we get a palindrome (22121100112122).

It can be divided in two parts, 100000001 and 12121, that multiplied together give a palindrome (1212100012121).

The spelling of 10000000112121 in words is "ten trillion, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 153 459 673 853 2019 2559 6057 7677 11441 14501 18171 23031 34323 37951 43503 102969 113853 130509 308907 341559 391527 574069 645167 1024677 1722207 1935501 5166621 5806503 9759173 15499863 17419509 25541023 29277519 32372203 76623069 87832557 97116609 229869207 263497671 291349827 434197391 550327451 689607621 874049481 1302592173 1650982353 3907776519 4952947059 11723329557 14858841177 21786492619 65359477857 196078433571 370370374523 588235300713 1111111123569 3333333370707 10000000112121