Search a number
-
+
1002200111000 = 235311191477011
BaseRepresentation
bin11101001010101111100…
…10000001011110011000
310112210212001022122101122
432211113302001132120
5112410001212023000
62044223202304412
7132256311246554
oct16452762013630
93483761278348
101002200111000
11357037920950
12142296958108
137367903887a
1436714712864
151b1099a6085
hexe957c81798

1002200111000 has 128 divisors (see below), whose sum is σ = 2571743416320. Its totient is φ = 362527600000.

The previous prime is 1002200110973. The next prime is 1002200111023. The reversal of 1002200111000 is 1110022001.

1002200111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 1862495 + ... + 2339505.

It is an arithmetic number, because the mean of its divisors is an integer number (20091745440).

Almost surely, 21002200111000 is an apocalyptic number.

1002200111000 is a gapful number since it is divisible by the number (10) 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 1002200111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285871708160).

1002200111000 is an abundant number, since it is smaller than the sum of its proper divisors (1569543305320).

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

1002200111000 is a wasteful number, since it uses less digits than its factorization.

1002200111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477234 (or 477220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002200111000 its reverse (1110022001), we get a palindrome (1003310133001).

It can be divided in two parts, 10022001 and 11000, that added together give a palindrome (10033001).

The spelling of 1002200111000 in words is "one trillion, two billion, two hundred million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 191 200 220 250 275 382 440 500 550 764 955 1000 1100 1375 1528 1910 2101 2200 2750 3820 4202 4775 5500 7640 8404 9550 10505 11000 16808 19100 21010 23875 38200 42020 47750 52525 84040 95500 105050 191000 210100 262625 420200 477011 525250 954022 1050500 1908044 2101000 2385055 3816088 4770110 5247121 9540220 10494242 11925275 19080440 20988484 23850550 26235605 41976968 47701100 52471210 59626375 91109101 95402200 104942420 119252750 131178025 182218202 209884840 238505500 262356050 364436404 455545505 477011000 524712100 655890125 728872808 911091010 1002200111 1049424200 1311780250 1822182020 2004400222 2277727525 2623560500 3644364040 4008800444 4555455050 5011000555 5247121000 8017600888 9110910100 10022001110 11388637625 18221820200 20044002220 22777275250 25055002775 40088004440 45554550500 50110005550 91109101000 100220011100 125275013875 200440022200 250550027750 501100055500 1002200111000