Search a number
-
+
1102420424124 = 2232232376915359
BaseRepresentation
bin10000000010101101011…
…000001011010110111100
310220101112120112001102200
4100002231120023112330
5121030224112032444
62202240035351500
7142435001664435
oct20025530132674
93811476461380
101102420424124
11395596653508
121597a6452590
137cc5b3953b6
143b500b2248c
151da2320d969
hex100ad60b5bc

1102420424124 has 108 divisors (see below), whose sum is σ = 2914064025600. Its totient is φ = 351380227968.

The previous prime is 1102420424113. The next prime is 1102420424129. The reversal of 1102420424124 is 4214240242011.

1102420424124 is a `hidden beast` number, since 1 + 1 + 0 + 242 + 0 + 4 + 2 + 412 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102420424129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71769157 + ... + 71784515.

Almost surely, 21102420424124 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 1102420424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457032012800).

1102420424124 is an abundant number, since it is smaller than the sum of its proper divisors (1811643601476).

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

1102420424124 is a wasteful number, since it uses less digits than its factorization.

1102420424124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19184 (or 19156 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1102420424124 its reverse (4214240242011), we get a palindrome (5316660666135).

The spelling of 1102420424124 in words is "one trillion, one hundred two billion, four hundred twenty million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 3769 4761 6348 7538 9522 11307 15076 15359 19044 22614 30718 33921 45228 46077 61436 67842 86687 92154 135684 138231 173374 184308 260061 276462 346748 353257 520122 552924 706514 780183 1040244 1059771 1413028 1560366 1993801 2119542 3120732 3179313 3987602 4239084 5981403 6358626 7975204 8124911 11962806 12717252 16249822 17944209 23925612 24374733 32499644 35888418 48749466 57888071 71776836 73124199 97498932 115776142 146248398 173664213 231552284 292496796 347328426 520992639 694656852 1041985278 1331425633 2083970556 2662851266 3994276899 5325702532 7988553798 11982830697 15977107596 23965661394 30622789559 47931322788 61245579118 91868368677 122491158236 183736737354 275605106031 367473474708 551210212062 1102420424124