Search a number
-
+
1002200011020 = 2232513232945431
BaseRepresentation
bin11101001010101111100…
…01101001000100001100
310112210212001010120020200
432211113301221010030
5112410001200323040
62044223200213500
7132256310352225
oct16452761510414
93483761116220
101002200011020
1135703786281a
1214229690a290
1373679002200
14367146c824c
151b109986630
hexe957c6910c

1002200011020 has 108 divisors (see below), whose sum is σ = 3291841674576. Its totient is φ = 246695379840.

The previous prime is 1002200010949. The next prime is 1002200011027. The reversal of 1002200011020 is 201100022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002200010993 and 1002200011011.

It is not an unprimeable number, because it can be changed into a prime (1002200011027) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 16442296 + ... + 16503135.

Almost surely, 21002200011020 is an apocalyptic number.

1002200011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200011020 is an abundant number, since it is smaller than the sum of its proper divisors (2289641663556).

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

1002200011020 is a wasteful number, since it uses less digits than its factorization.

1002200011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32945472 (or 32945454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002200011020 its reverse (201100022001), we get a palindrome (1203300033021).

The spelling of 1002200011020 in words is "one trillion, two billion, two hundred million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 32945431 65890862 98836293 131781724 164727155 197672586 296508879 329454310 395345172 428290603 494181465 593017758 658908620 856581206 988362930 1186035516 1284871809 1482544395 1713162412 1976725860 2141453015 2569743618 2965088790 3854615427 4282906030 5139487236 5567777839 5930177580 6424359045 7709230854 8565812060 11135555678 12848718090 15418461708 16703333517 19273077135 22271111356 25697436180 27838889195 33406667034 38546154270 50110000551 55677778390 66813334068 77092308540 83516667585 100220001102 111355556780 167033335170 200440002204 250550002755 334066670340 501100005510 1002200011020