Search a number
-
+
10133211201102 = 2321151177834349
BaseRepresentation
bin1001001101110101001001…
…1101000011111001001110
31022212201120220121102020100
42103131102131003321032
52312010304031413402
633315044415231530
72064046264023063
oct223352235037116
938781526542210
1010133211201102
11325751a607060
121177a73b185a6
135867333c1042
14270642c9ac6a
151288c4b6871c
hex93752743e4e

10133211201102 has 24 divisors (see below), whose sum is σ = 23951226475800. Its totient is φ = 3070670060880.

The previous prime is 10133211201101. The next prime is 10133211201107. The reversal of 10133211201102 is 20110211233101.

10133211201102 is a `hidden beast` number, since 101 + 332 + 1 + 120 + 110 + 2 = 666.

It is a super-2 number, since 2×101332112011022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133211201101) 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 11 ways as a sum of consecutive naturals, for example, 25588916977 + ... + 25588917372.

It is an arithmetic number, because the mean of its divisors is an integer number (997967769825).

Almost surely, 210133211201102 is an apocalyptic number.

10133211201102 is an abundant number, since it is smaller than the sum of its proper divisors (13818015274698).

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

10133211201102 is a wasteful number, since it uses less digits than its factorization.

10133211201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51177834368 (or 51177834365 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10133211201102 its reverse (20110211233101), we get a palindrome (30243422434203).

The spelling of 10133211201102 in words is "ten trillion, one hundred thirty-three billion, two hundred eleven million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 51177834349 102355668698 153533503047 307067006094 460600509141 562956177839 921201018282 1125912355678 1688868533517 3377737067034 5066605600551 10133211201102