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101114003133 = 33111326188553
BaseRepresentation
bin101111000101011011…
…1010011111010111101
3100122222210211120021000
41132022313103322331
53124040141100013
6114241240000513
710206461563023
oct1361267237275
9318883746230
10101114003133
1139978245150
121771aa60139
1396c55540b0
144c72da6713
15296be39973
hex178add3ebd

101114003133 has 32 divisors (see below), whose sum is σ = 175987082880. Its totient is φ = 56567272320.

The previous prime is 101114003101. The next prime is 101114003171. The reversal of 101114003133 is 331300411101.

It is not a de Polignac number, because 101114003133 - 25 = 101114003101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114007133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13090416 + ... + 13098137.

It is an arithmetic number, because the mean of its divisors is an integer number (5499596340).

Almost surely, 2101114003133 is an apocalyptic number.

101114003133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101114003133 is a deficient number, since it is larger than the sum of its proper divisors (74873079747).

101114003133 is a wasteful number, since it uses less digits than its factorization.

101114003133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26188586 (or 26188580 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101114003133 its reverse (331300411101), we get a palindrome (432414414234).

The spelling of 101114003133 in words is "one hundred one billion, one hundred fourteen million, three thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 26188553 78565659 235696977 288074083 340451189 707090931 864222249 1021353567 2592666747 3064060701 3744963079 7778000241 9192182103 11234889237 33704667711 101114003133