Search a number
-
+
100203112404241 = 71113761333154873
BaseRepresentation
bin10110110010001001011010…
…111010111001010100010001
3111010210022202012010201202021
4112302021122322321110101
5101113211433233413431
6553040401354251441
730051302352116140
oct2662113272712421
9433708665121667
10100203112404241
1129a229a0731790
12b2a404b726b81
1343bb161214122
141aa5bdc3d9757
15b8b7a60dcb11
hex5b225aeb9511

100203112404241 has 32 divisors (see below), whose sum is σ = 125843307303168. Its totient is φ = 77508653552640.

The previous prime is 100203112404167. The next prime is 100203112404257. The reversal of 100203112404241 is 142404211302001.

It is a cyclic number.

It is not a de Polignac number, because 100203112404241 - 221 = 100203110307089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100203112404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646924381 + ... + 647079253.

It is an arithmetic number, because the mean of its divisors is an integer number (3932603353224).

Almost surely, 2100203112404241 is an apocalyptic number.

100203112404241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100203112404241 is a deficient number, since it is larger than the sum of its proper divisors (25640194898927).

100203112404241 is a wasteful number, since it uses less digits than its factorization.

100203112404241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216361.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100203112404241 its reverse (142404211302001), we get a palindrome (242607323706242).

The spelling of 100203112404241 in words is "one hundred trillion, two hundred three billion, one hundred twelve million, four hundred four thousand, two hundred forty-one".

Divisors: 1 7 11 77 137 959 1507 10549 61333 154873 429331 674663 1084111 1703603 4722641 8402621 11925221 21217601 58818347 92428831 148523207 233393611 647001817 1633755277 9498825709 66491779963 104487082799 731409579593 1301339122133 9109373854931 14314730343463 100203112404241