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1010215300131 = 329719140914813
BaseRepresentation
bin11101011001101011000…
…01100010110000100011
310120120112122022102212100
432230311201202300203
5113022410104101011
62052030403501443
7132662035241112
oct16546541426043
93516478272770
101010215300131
1135a4802230a4
12143953087883
137435576942b
1436c75011c79
151b4284a1d56
hexeb35862c23

1010215300131 has 48 divisors (see below), whose sum is σ = 1485685393920. Its totient is φ = 661378314240.

The previous prime is 1010215300097. The next prime is 1010215300141. The reversal of 1010215300131 is 1310035120101.

1010215300131 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 1 + 530 + 0 + 131 = 666.

It is not a de Polignac number, because 1010215300131 - 29 = 1010215299619 is a prime.

It is a super-2 number, since 2×10102153001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010215300141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68190481 + ... + 68205293.

It is an arithmetic number, because the mean of its divisors is an integer number (30951779040).

Almost surely, 21010215300131 is an apocalyptic number.

1010215300131 is a deficient number, since it is larger than the sum of its proper divisors (475470093789).

1010215300131 is a wasteful number, since it uses less digits than its factorization.

1010215300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 15513 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 1010215300131 in words is "one trillion, ten billion, two hundred fifteen million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 97 191 291 409 573 873 1227 1719 3681 14813 18527 39673 44439 55581 78119 119019 133317 166743 234357 357057 703071 1436861 2829283 4310583 6058517 7577543 8487849 12931749 18175551 22732629 25463547 54526653 68197887 274440451 587676149 823321353 1157176747 1763028447 2469964059 3471530241 5289085341 10414590723 112246144459 336738433377 1010215300131