Search a number
-
+
1100002355430 = 2351137101891983
BaseRepresentation
bin10000000000011101001…
…111111110100011100110
310220011022001111102202220
4100000131033332203212
5121010301100333210
62201200100013210
7142321040514456
oct20003517764346
93804261442686
101100002355430
1139456571a730
12159230691206
137c964421414
143b35191bd66
151d930cb8c70
hex1001d3fe8e6

1100002355430 has 128 divisors (see below), whose sum is σ = 2987133106176. Its totient is φ = 256890816000.

The previous prime is 1100002355377. The next prime is 1100002355437. The reversal of 1100002355430 is 345532000011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100002355430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100002355437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787219 + ... + 1679201.

It is an arithmetic number, because the mean of its divisors is an integer number (23336977392).

Almost surely, 21100002355430 is an apocalyptic number.

1100002355430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100002355430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493566553088).

1100002355430 is an abundant number, since it is smaller than the sum of its proper divisors (1887130750746).

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

1100002355430 is a wasteful number, since it uses less digits than its factorization.

1100002355430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892142.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 1100002355430 its reverse (345532000011), we get a palindrome (1445534355441).

The spelling of 1100002355430 in words is "one trillion, one hundred billion, two million, three hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 101 110 111 165 185 202 222 303 330 370 407 505 555 606 814 1010 1110 1111 1221 1515 2035 2222 2442 3030 3333 3737 4070 5555 6105 6666 7474 11110 11211 12210 16665 18685 22422 33330 37370 41107 56055 82214 112110 123321 205535 246642 411070 616605 891983 1233210 1783966 2675949 4459915 5351898 8919830 9811813 13379745 19623626 26759490 29435439 33003371 49059065 58870878 66006742 90090283 98118130 99010113 147177195 165016855 180180566 198020226 270270849 294354390 330033710 363037081 450451415 495050565 540541698 726074162 900902830 990101130 990993113 1089111243 1351354245 1815185405 1981986226 2178222486 2702708490 2972979339 3333340471 3630370810 4954965565 5445556215 5945958678 6666680942 9909931130 10000021413 10891112430 14864896695 16666702355 20000042826 29729793390 33333404710 36666745181 50000107065 73333490362 100000214130 110000235543 183333725905 220000471086 366667451810 550001177715 1100002355430