Search a number
-
+
1003213023232 = 2117243232487
BaseRepresentation
bin11101001100101000010…
…01111110100000000000
310112220110122021220202111
432212110021332200000
5112414040013220412
62044511504425104
7132323360666500
oct16462411764000
93486418256674
101003213023232
113575076638a2
1214251a018194
13737aab47014
14367ad061a00
151b1688882a7
hexe99427e800

1003213023232 has 144 divisors (see below), whose sum is σ = 2387712206880. Its totient is φ = 419947831296.

The previous prime is 1003213023199. The next prime is 1003213023287. The reversal of 1003213023232 is 2323203123001.

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, 4198893 + ... + 4431379.

It is an arithmetic number, because the mean of its divisors is an integer number (16581334770).

Almost surely, 21003213023232 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 1003213023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193856103440).

1003213023232 is an abundant number, since it is smaller than the sum of its proper divisors (1384499183648).

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

1003213023232 is an equidigital number, since it uses as much as digits as its factorization.

1003213023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232566 (or 232539 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1003213023232 its reverse (2323203123001), we get a palindrome (3326416146233).

The spelling of 1003213023232 in words is "one trillion, three billion, two hundred thirteen million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 224 256 301 344 392 448 512 602 688 784 896 1024 1204 1376 1568 1792 2048 2107 2408 2752 3136 3584 4214 4816 5504 6272 7168 8428 9632 11008 12544 14336 16856 19264 22016 25088 33712 38528 44032 50176 67424 77056 88064 100352 134848 154112 232487 269696 308224 464974 539392 616448 929948 1078784 1627409 1859896 2157568 3254818 3719792 4315136 6509636 7439584 9996941 11391863 13019272 14879168 19993882 22783726 26038544 29758336 39987764 45567452 52077088 59516672 69978587 79975528 91134904 104154176 119033344 139957174 159951056 182269808 208308352 238066688 279914348 319902112 364539616 416616704 476133376 489850109 559828696 639804224 729079232 833233408 979700218 1119657392 1279608448 1458158464 1666466816 1959400436 2239314784 2559216896 2916316928 3332933632 3918800872 4478629568 5118433792 5832633856 7837601744 8957259136 10236867584 11665267712 15675203488 17914518272 20473735168 23330535424 31350406976 35829036544 62700813952 71658073088 125401627904 143316146176 250803255808 501606511616 1003213023232