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131534210103153 = 311132291581784649
BaseRepresentation
bin11101111010000100110001…
…110111100111011101110001
3122020201112210020222201122220
4131322010301313213131301
5114220024030241300103
61143425552032551253
736464014226336214
oct3572046167473561
9566645706881586
10131534210103153
1138a02388571440
12129042649b2529
135851813369080
14246a40b07977b
15103178ee94c53
hex77a131de7771

131534210103153 has 64 divisors (see below), whose sum is σ = 206954866272000. Its totient is φ = 73258740264960.

The previous prime is 131534210103113. The next prime is 131534210103157. The reversal of 131534210103153 is 351301012435131.

It is not a de Polignac number, because 131534210103153 - 210 = 131534210102129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131534210103157) 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, 1553835573 + ... + 1553920221.

It is an arithmetic number, because the mean of its divisors is an integer number (3233669785500).

Almost surely, 2131534210103153 is an apocalyptic number.

131534210103153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131534210103153 is a deficient number, since it is larger than the sum of its proper divisors (75420656168847).

131534210103153 is a wasteful number, since it uses less digits than its factorization.

131534210103153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100722.

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 131534210103153 its reverse (351301012435131), we get a palindrome (482835222538284).

The spelling of 131534210103153 in words is "one hundred thirty-one trillion, five hundred thirty-four billion, two hundred ten million, one hundred three thousand, one hundred fifty-three".

Divisors: 1 3 11 13 33 39 143 229 429 687 2519 2977 7557 8931 15817 32747 47451 84649 98241 173987 205621 253947 521961 616863 931139 1100437 2261831 2793417 3301311 3622093 6785493 10866279 12104807 19384621 36314421 39843023 47087209 58153863 119529069 141261627 213230831 252000073 517959299 639692493 756000219 1338893233 1553877897 2772000803 4016679699 8316002409 14727825563 17405612029 44183476689 52216836087 191461732319 306606550357 574385196957 919819651071 3372672053927 3985885154641 10118016161781 11957655463923 43844736701051 131534210103153