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10206424660131 = 3374157440953
BaseRepresentation
bin1001010010000101111001…
…0100001111100010100011
31100010201120021122111012000
42110201132110033202203
52314210224203111011
633412433341535043
72102250501120000
oct224413624174243
940121507574160
1010206424660131
11328557a704497
12118a0a6b74483
1359060050a32b
14273dca5a28a7
1512a75c435356
hex9485e50f8a3

10206424660131 has 40 divisors (see below), whose sum is σ = 17639684486160. Its totient is φ = 5832242625888.

The previous prime is 10206424660121. The next prime is 10206424660169. The reversal of 10206424660131 is 13106642460201.

10206424660131 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 2 + 46 + 601 + 3 + 1 = 666.

It is not a de Polignac number, because 10206424660131 - 25 = 10206424660099 is a prime.

It is a super-2 number, since 2×102064246601312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10206424660121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78655650 + ... + 78785303.

It is an arithmetic number, because the mean of its divisors is an integer number (440992112154).

Almost surely, 210206424660131 is an apocalyptic number.

10206424660131 is a deficient number, since it is larger than the sum of its proper divisors (7433259826029).

10206424660131 is an frugal number, since it uses more digits than its factorization.

10206424660131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157440990 (or 157440963 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10206424660131 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, six hundred sixty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 2401 3087 7203 9261 21609 64827 157440953 472322859 1102086671 1416968577 3306260013 4250905731 7714606697 9918780039 23143820091 29756340117 54002246879 69431460273 162006740637 208294380819 378015728153 486020221911 1134047184459 1458060665733 3402141553377 10206424660131