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131001033424240 = 2457233930416829
BaseRepresentation
bin11101110010010100001110…
…000011111111110101110000
3122011211120120021000002210201
4131302110032003333311300
5114132310104024033430
61142341013254204544
736410340505341250
oct3562241603776560
9564746507002721
10131001033424240
11388172541a6041
1212838a65053754
135813462991655
14244c6ab973960
1510229868e48ca
hex77250e0ffd70

131001033424240 has 40 divisors (see below), whose sum is σ = 348088460243040. Its totient is φ = 44914640030976.

The previous prime is 131001033424231. The next prime is 131001033424273. The reversal of 131001033424240 is 42424330100131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1310010334242402 (a number of 29 digits) contains 22 as substring.

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 = 131001033424199 and 131001033424208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116965207855 + ... + 116965208974.

It is an arithmetic number, because the mean of its divisors is an integer number (8702211506076).

Almost surely, 2131001033424240 is an apocalyptic number.

131001033424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001033424240 is an abundant number, since it is smaller than the sum of its proper divisors (217087426818800).

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

131001033424240 is a wasteful number, since it uses less digits than its factorization.

131001033424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233930416849 (or 233930416843 counting only the distinct ones).

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

Adding to 131001033424240 its reverse (42424330100131), we get a palindrome (173425363524371).

The spelling of 131001033424240 in words is "one hundred thirty-one trillion, one billion, thirty-three million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 233930416829 467860833658 935721667316 1169652084145 1637512917803 1871443334632 2339304168290 3275025835606 3742886669264 4678608336580 6550051671212 8187564589015 9357216673160 13100103342424 16375129178030 18714433346320 26200206684848 32750258356060 65500516712120 131001033424240