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10301034144 = 253313461369
BaseRepresentation
bin10011001011111110…
…10100111010100000
3222120220012202100010
421211333110322200
5132044031043034
64422054524520
7513161226342
oct114577247240
928526182303
1010301034144
114406735465
121bb5966740
13c8218ab9b
146da125292
154045233e9
hex265fd4ea0

10301034144 has 48 divisors (see below), whose sum is σ = 27912487680. Its totient is φ = 3322913280.

The previous prime is 10301034143. The next prime is 10301034181. The reversal of 10301034144 is 44143010301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103010341442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10301034144.

It is not an unprimeable number, because it can be changed into a prime (10301034143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727709 + ... + 1733660.

It is an arithmetic number, because the mean of its divisors is an integer number (581510160).

Almost surely, 210301034144 is an apocalyptic number.

It is an amenable number.

10301034144 is an abundant number, since it is smaller than the sum of its proper divisors (17611453536).

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

10301034144 is a wasteful number, since it uses less digits than its factorization.

10301034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461413 (or 3461405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10301034144 its reverse (44143010301), we get a palindrome (54444044445).

The spelling of 10301034144 in words is "ten billion, three hundred one million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3461369 6922738 10384107 13845476 20768214 27690952 41536428 55381904 83072856 107302439 110763808 166145712 214604878 321907317 332291424 429209756 643814634 858419512 1287629268 1716839024 2575258536 3433678048 5150517072 10301034144