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131133300312 = 233719233176317
BaseRepresentation
bin111101000100000100…
…1110101111001011000
3110112110220102212101110
41322020021311321120
54122030111102222
6140124121420320
712321414442620
oct1721011657130
9415426385343
10131133300312
1150682369463
12214b833a6a0
13c49a914731
1464bdbd5880
1536275c630c
hex1e88275e58

131133300312 has 128 divisors (see below), whose sum is σ = 396080755200. Its totient is φ = 35342189568.

The previous prime is 131133300283. The next prime is 131133300313. The reversal of 131133300312 is 213003331131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133300313) 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, 655578 + ... + 831894.

It is an arithmetic number, because the mean of its divisors is an integer number (3094380900).

Almost surely, 2131133300312 is an apocalyptic number.

131133300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198040377600).

131133300312 is an abundant number, since it is smaller than the sum of its proper divisors (264947454888).

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

131133300312 is a wasteful number, since it uses less digits than its factorization.

131133300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176585 (or 176581 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131133300312 its reverse (213003331131), we get a palindrome (344136631443).

The spelling of 131133300312 in words is "one hundred thirty-one billion, one hundred thirty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 233 266 399 456 466 532 699 798 932 1064 1398 1596 1631 1864 2796 3192 3262 4427 4893 5592 6524 8854 9786 13048 13281 17708 19572 26562 30989 35416 39144 53124 61978 92967 106248 123956 176317 185934 247912 352634 371868 528951 705268 743736 1057902 1234219 1410536 2115804 2468438 3350023 3702657 4231608 4936876 6700046 7405314 9873752 10050069 13400092 14810628 20100138 23450161 26800184 29621256 40200276 41081861 46900322 70350483 80400552 82163722 93800644 123245583 140700966 164327444 187601288 246491166 281401932 287573027 328654888 492982332 562803864 575146054 780555359 862719081 985964664 1150292108 1561110718 1725438162 2300584216 2341666077 3122221436 3450876324 4683332154 5463887513 6244442872 6901752648 9366664308 10927775026 16391662539 18733328616 21855550052 32783325078 43711100104 65566650156 131133300312