Search a number
-
+
2123125704 = 233272733821
BaseRepresentation
bin111111010001100…
…0101001111001000
312110222000221221100
41332203011033020
513322010010304
6550401541400
7103420161600
oct17643051710
95428027840
102123125704
1199a4a3847
124b3044860
1327ab26bcb
14161d89c00
15c65d4439
hex7e8c53c8

2123125704 has 144 divisors (see below), whose sum is σ = 6706213020. Its totient is φ = 605041920.

The previous prime is 2123125663. The next prime is 2123125717. The reversal of 2123125704 is 4075213212.

It can be written as a sum of positive squares in 2 ways, for example, as 2038522500 + 84603204 = 45150^2 + 9198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2585614 + ... + 2586434.

Almost surely, 22123125704 is an apocalyptic number.

2123125704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123125704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353106510).

2123125704 is an abundant number, since it is smaller than the sum of its proper divisors (4583087316).

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

2123125704 is a wasteful number, since it uses less digits than its factorization.

2123125704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2123125704 is about 46077.3882072324. The cubic root of 2123125704 is about 1285.2626964729.

Adding to 2123125704 its reverse (4075213212), we get a palindrome (6198338916).

The spelling of 2123125704 in words is "two billion, one hundred twenty-three million, one hundred twenty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 733 821 882 1176 1466 1642 1764 2199 2463 2932 3284 3528 4398 4926 5131 5747 5864 6568 6597 7389 8796 9852 10262 11494 13194 14778 15393 17241 17592 19704 20524 22988 26388 29556 30786 34482 35917 40229 41048 45976 46179 51723 52776 59112 61572 68964 71834 80458 92358 103446 107751 120687 123144 137928 143668 160916 184716 206892 215502 241374 287336 321832 323253 362061 369432 413784 431004 482748 601793 646506 724122 862008 965496 1203586 1293012 1448244 1805379 2407172 2586024 2896488 3610758 4212551 4814344 5416137 7221516 8425102 10832274 12637653 14443032 16850204 21664548 25275306 29487857 33700408 37912959 43329096 50550612 58975714 75825918 88463571 101101224 117951428 151651836 176927142 235902856 265390713 303303672 353854284 530781426 707708568 1061562852 2123125704