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1010197180314 = 23372381782759
BaseRepresentation
bin11101011001101000111…
…00011010111110011010
310120120111101012212011000
432230310130122332122
5113022340434232224
62052024515245430
7132661425232500
oct16546434327632
93516441185130
101010197180314
1135a470a77443
12143948ba9876
1374351a93a4a
1436c72856670
151b426ac30c9
hexeb3471af9a

1010197180314 has 48 divisors (see below), whose sum is σ = 2611394078400. Its totient is φ = 288627765048.

The previous prime is 1010197180277. The next prime is 1010197180339. The reversal of 1010197180314 is 4130817910101.

It is a super-2 number, since 2×10101971803142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190888734 + ... + 190894025.

It is an arithmetic number, because the mean of its divisors is an integer number (54404043300).

Almost surely, 21010197180314 is an apocalyptic number.

1010197180314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1010197180314 is an abundant number, since it is smaller than the sum of its proper divisors (1601196898086).

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

1010197180314 is a wasteful number, since it uses less digits than its factorization.

1010197180314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381782784 (or 381782771 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1010197180314 in words is "one trillion, ten billion, one hundred ninety-seven million, one hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 381782759 763565518 1145348277 2290696554 2672479313 3436044831 5344958626 6872089662 8017437939 10308134493 16034875878 18707355191 20616268986 24052313817 37414710382 48104627634 56122065573 72156941451 112244131146 144313882902 168366196719 336732393438 505098590157 1010197180314