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100134453144 = 233112191814819
BaseRepresentation
bin101110101000001111…
…0100111111110011000
3100120110112122021021210
41131100132213332120
53120033410000034
6114000124503120
710143265544115
oct1352036477630
9316415567253
10100134453144
1139515319800
12174a69aaaa0
13959a62710b
144bbcc5d90c
152910e478e9
hex17507a7f98

100134453144 has 96 divisors (see below), whose sum is σ = 289645272000. Its totient is φ = 28746717120.

The previous prime is 100134453143. The next prime is 100134453161. The reversal of 100134453144 is 441354431001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134453143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852234 + ... + 962585.

It is an arithmetic number, because the mean of its divisors is an integer number (3017138250).

Almost surely, 2100134453144 is an apocalyptic number.

It is an amenable number.

100134453144 is an abundant number, since it is smaller than the sum of its proper divisors (189510818856).

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

100134453144 is a wasteful number, since it uses less digits than its factorization.

100134453144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814869 (or 1814854 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 100134453144 its reverse (441354431001), we get a palindrome (541488884145).

The spelling of 100134453144 in words is "one hundred billion, one hundred thirty-four million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1452 1672 2299 2508 2904 4598 5016 6897 9196 13794 18392 27588 55176 1814819 3629638 5444457 7259276 10888914 14518552 19963009 21777828 34481561 39926018 43555656 59889027 68963122 79852036 103444683 119778054 137926244 159704072 206889366 219593099 239556108 275852488 379297171 413778732 439186198 479112216 658779297 758594342 827557464 878372396 1137891513 1317558594 1517188684 1756744792 2275783026 2635117188 3034377368 4172268881 4551566052 5270234376 8344537762 9103132104 12516806643 16689075524 25033613286 33378151048 50067226572 100134453144