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131133044224 = 297213402071
BaseRepresentation
bin111101000100000100…
…0110111011000000000
3110112110212221212002201
41322020020313120000
54122030024403344
6140124112122544
712321412325200
oct1721010673000
9415425855081
10131133044224
1150682204016
12214b8236454
13c49a854cc0
1464bdb6a400
1536275754d4
hex1e88237600

131133044224 has 120 divisors (see below), whose sum is σ = 328233085488. Its totient is φ = 51876679680.

The previous prime is 131133044221. The next prime is 131133044227. The reversal of 131133044224 is 422440331131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131133044221) and next prime (131133044227).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131133044192 and 131133044201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133044221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125109 + ... + 527179.

Almost surely, 2131133044224 is an apocalyptic number.

131133044224 is a gapful number since it is divisible by the number (14) 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 131133044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164116542744).

131133044224 is an abundant number, since it is smaller than the sum of its proper divisors (197100041264).

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

131133044224 is an equidigital number, since it uses as much as digits as its factorization.

131133044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402116 (or 402093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131133044224 its reverse (422440331131), we get a palindrome (553573375355).

The spelling of 131133044224 in words is "one hundred thirty-one billion, one hundred thirty-three million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12544 20384 23296 25088 40768 46592 81536 163072 326144 402071 804142 1608284 2814497 3216568 5226923 5628994 6433136 10453846 11257988 12866272 19701479 20907692 22515976 25732544 36588461 39402958 41815384 45031952 51465088 73176922 78805916 83630768 90063904 102930176 146353844 157611832 167261536 180127808 205860352 256119227 292707688 315223664 334523072 360255616 512238454 585415376 630447328 669046144 720511232 1024476908 1170830752 1260894656 1338092288 1441022464 2048953816 2341661504 2521789312 2676184576 4097907632 4683323008 5043578624 8195815264 9366646016 10087157248 16391630528 18733292032 32783261056 65566522112 131133044224