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10212141544 = 2311217895897
BaseRepresentation
bin10011000001011000…
…01110100111101000
3222100200221112121121
421200230032213220
5131403302012134
64405201345024
7511031525263
oct114054164750
928320845547
1010212141544
114370540100
121b90038174
13c69936007
146cc3c5cda
153eb814ab4
hex260b0e9e8

10212141544 has 48 divisors (see below), whose sum is σ = 21062052900. Its totient is φ = 4638501120.

The previous prime is 10212141521. The next prime is 10212141557. The reversal of 10212141544 is 44514121201.

It can be written as a sum of positive squares in 2 ways, for example, as 7662901444 + 2549240100 = 87538^2 + 50490^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1728804 + ... + 1734700.

Almost surely, 210212141544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212141544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531026450).

10212141544 is an abundant number, since it is smaller than the sum of its proper divisors (10849911356).

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

10212141544 is a wasteful number, since it uses less digits than its factorization.

10212141544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 10212141544 its reverse (44514121201), we get a palindrome (54726262745).

The spelling of 10212141544 in words is "ten billion, two hundred twelve million, one hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1789 3578 5897 7156 11794 14312 19679 23588 39358 47176 64867 78716 129734 157432 216469 259468 432938 518936 713537 865876 1427074 1731752 2854148 5708296 10549733 21099466 42198932 84397864 116047063 232094126 464188252 928376504 1276517693 2553035386 5106070772 10212141544