Search a number
-
+
1114002002010 = 2351716991285649
BaseRepresentation
bin10000001101011111101…
…100011001000001011010
310221111102201022011112210
4100031133230121001122
5121222434003031020
62211433201015550
7143325002531562
oct20153754310132
93844381264483
101114002002010
1139a49a0a7387
1215ba990245b6
1381085938471
143bcbcd41da2
151de9ed7c3e0
hex1035fb1905a

1114002002010 has 64 divisors (see below), whose sum is σ = 2832544080000. Its totient is φ = 279427878912.

The previous prime is 1114002001997. The next prime is 1114002002011. The reversal of 1114002002010 is 102002004111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1114002002011) 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, 223666 + ... + 1509314.

It is an arithmetic number, because the mean of its divisors is an integer number (44258501250).

Almost surely, 21114002002010 is an apocalyptic number.

1114002002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1114002002010 is an abundant number, since it is smaller than the sum of its proper divisors (1718542077990).

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

1114002002010 is a wasteful number, since it uses less digits than its factorization.

1114002002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287375.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1114002002010 its reverse (102002004111), we get a palindrome (1216004006121).

The spelling of 1114002002010 in words is "one trillion, one hundred fourteen billion, two million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1699 3398 5097 8495 10194 16990 25485 28883 50970 57766 86649 144415 173298 288830 433245 866490 1285649 2571298 3856947 6428245 7713894 12856490 19284735 21856033 38569470 43712066 65568099 109280165 131136198 218560330 327840495 655680990 2184317651 4368635302 6552952953 10921588255 13105905906 21843176510 32764764765 37133400067 65529529530 74266800134 111400200201 185667000335 222800400402 371334000670 557001001005 1114002002010