Search a number
-
+
1005220524204 = 2232132299379507
BaseRepresentation
bin11101010000010111100…
…11111111000010101100
310120002122112202112101100
432220023303333002230
5112432142423233304
62045443020243100
7132424205322141
oct16501363770254
93502575675340
101005220524204
11358347864006
1214299a3a0490
1373a3aa19610
143691d9103c8
151b234c2d439
hexea0bcff0ac

1005220524204 has 72 divisors (see below), whose sum is σ = 2748383434160. Its totient is φ = 307947940992.

The previous prime is 1005220524137. The next prime is 1005220524211. The reversal of 1005220524204 is 4024250225001.

1005220524204 is a `hidden beast` number, since 10 + 0 + 5 + 220 + 5 + 2 + 420 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4582582 + ... + 4796925.

Almost surely, 21005220524204 is an apocalyptic number.

It is an amenable number.

1005220524204 is an abundant number, since it is smaller than the sum of its proper divisors (1743162909956).

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

1005220524204 is a wasteful number, since it uses less digits than its factorization.

1005220524204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379759 (or 9379754 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 1005220524204 its reverse (4024250225001), we get a palindrome (5029470749205).

The spelling of 1005220524204 in words is "one trillion, five billion, two hundred twenty million, five hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172 9379507 18759014 28138521 37518028 56277042 84415563 112554084 121933591 168831126 243867182 337662252 365800773 487734364 731601546 1097402319 1463203092 2147907103 2194804638 4295814206 4389609276 6443721309 8591628412 12887442618 19331163927 25774885236 27922792339 38662327854 55845584678 77324655708 83768377017 111691169356 167536754034 251305131051 335073508068 502610262102 1005220524204