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1100010242133 = 331137357717209
BaseRepresentation
bin10000000000011101101…
…110000100000001010101
310220011022121100010022000
4100000131232010001111
5121010310110222013
62201200541025513
7142321164532665
oct20003556040125
93804277303260
101100010242133
1139456a117070
12159233255299
137c965c530ca
143b3529b21a5
151d931825973
hex1001db84055

1100010242133 has 64 divisors (see below), whose sum is σ = 1785753657600. Its totient is φ = 663694663680.

The previous prime is 1100010242131. The next prime is 1100010242143. The reversal of 1100010242133 is 3312420100011.

1100010242133 is a `hidden beast` number, since 110 + 0 + 0 + 102 + 421 + 33 = 666.

It is not a de Polignac number, because 1100010242133 - 21 = 1100010242131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010242131) 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, 63912033 + ... + 63929241.

It is an arithmetic number, because the mean of its divisors is an integer number (27902400900).

Almost surely, 21100010242133 is an apocalyptic number.

It is an amenable number.

1100010242133 is a deficient number, since it is larger than the sum of its proper divisors (685743415467).

1100010242133 is a wasteful number, since it uses less digits than its factorization.

1100010242133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18179 (or 18173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100010242133 its reverse (3312420100011), we get a palindrome (4412430342144).

The spelling of 1100010242133 in words is "one trillion, one hundred billion, ten million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 297 373 577 1119 1731 3357 4103 5193 6347 10071 12309 15579 17209 19041 36927 51627 57123 110781 154881 171369 189299 215221 464643 567897 645663 1703691 1936989 2367431 5111073 5810967 6418957 7102293 9929593 19256871 21306879 29788779 57770613 63920637 70608527 89366337 109225523 173311839 211825581 268099011 327676569 635476743 983029707 1906430229 2949089121 3703738189 11111214567 33333643701 40741120079 100000931103 122223360237 366670080711 1100010242133