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1125046305124 = 227223923172
BaseRepresentation
bin10000010111110001111…
…111000100000101100100
310222112221102002220020021
4100113301333010011210
5121413043323230444
62220501130444524
7144165460544200
oct20276177040544
93875842086207
101125046305124
113a4147344815
1216205b893744
1382125aa5171
143c649a65b00
151e3e976d584
hex105f1fc4164

1125046305124 has 81 divisors (see below), whose sum is σ = 2307173740473. Its totient is φ = 478630631136.

The previous prime is 1125046305101. The next prime is 1125046305167. The reversal of 1125046305124 is 4215036405211.

The square root of 1125046305124 is 1060682.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62975902500 + 1062070402624 = 250950^2 + 1030568^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1125046305124.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3549041814 + ... + 3549042130.

Almost surely, 21125046305124 is an apocalyptic number.

1125046305124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1125046305124 is the 1060682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125046305124

1125046305124 is an abundant number, since it is smaller than the sum of its proper divisors (1182127435349).

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

1125046305124 is an frugal number, since it uses more digits than its factorization.

1125046305124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 1125046305124 in words is "one trillion, one hundred twenty-five billion, forty-six million, three hundred five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 239 317 478 634 956 1268 1673 2219 3346 4438 6692 8876 11711 15533 23422 31066 46844 57121 62132 75763 100489 114242 151526 200978 228484 303052 399847 401956 530341 703423 799694 1060682 1406846 1599388 2121364 2798929 2813692 3712387 4923961 5597858 7424774 9847922 11195716 14849548 18107357 19695844 24016871 36214714 48033742 72429428 96067484 126751499 168118097 253502998 336236194 507005996 672472388 887260493 1176826679 1774520986 2353653358 3549041972 4707306716 5740032169 11480064338 22960128676 40180225183 80360450366 160720900732 281261576281 562523152562 1125046305124