Search a number
-
+
1003322011020 = 223576139161671
BaseRepresentation
bin11101001100110101010…
…01101110110110001100
310112220202020101001220020
432212122221232312030
5112414300413323040
62044530400422140
7132326153244240
oct16463251566614
93486666331806
101003322011020
11357563133a4a
1214254a617950
13737c75b6734
14367bd712420
151b173215cd0
hexe99aa6ed8c

1003322011020 has 96 divisors (see below), whose sum is σ = 3263263804416. Its totient is φ = 225571219200.

The previous prime is 1003322010961. The next prime is 1003322011067. The reversal of 1003322011020 is 201102233001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19555216 + ... + 19606455.

It is an arithmetic number, because the mean of its divisors is an integer number (33992331296).

Almost surely, 21003322011020 is an apocalyptic number.

1003322011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003322011020 is an abundant number, since it is smaller than the sum of its proper divisors (2259941793396).

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

1003322011020 is a wasteful number, since it uses less digits than its factorization.

1003322011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39161751 (or 39161749 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1003322011020 its reverse (201102233001), we get a palindrome (1204424244021).

The spelling of 1003322011020 in words is "one trillion, three billion, three hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 12810 25620 39161671 78323342 117485013 156646684 195808355 234970026 274131697 391616710 469940052 548263394 587425065 783233420 822395091 1096526788 1174850130 1370658485 1644790182 2349700260 2388861931 2741316970 3289580364 4111975455 4777723862 5482633940 7166585793 8223950910 9555447724 11944309655 14333171586 16447901820 16722033517 23888619310 28666343172 33444067034 35832928965 47777238620 50166100551 66888134068 71665857930 83610167585 100332201102 143331715860 167220335170 200664402204 250830502755 334440670340 501661005510 1003322011020