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11034201420 = 223251137150617
BaseRepresentation
bin10100100011011000…
…01000110101001100
31001110222210111202200
422101230020311030
5140044223421140
65022525121500
7540303110304
oct122154106514
931428714680
1011034201420
114752578930
12217b3b9290
13106b040a88
14769654604
15448a98030
hex291b08d4c

11034201420 has 144 divisors (see below), whose sum is σ = 37500267168. Its totient is φ = 2602644480.

The previous prime is 11034201397. The next prime is 11034201439. The reversal of 11034201420 is 2410243011.

11034201420 is a `hidden beast` number, since 1 + 10 + 34 + 201 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11034201393 and 11034201402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049 + ... + 148568.

It is an arithmetic number, because the mean of its divisors is an integer number (260418522).

Almost surely, 211034201420 is an apocalyptic number.

11034201420 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 11034201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750133584).

11034201420 is an abundant number, since it is smaller than the sum of its proper divisors (26466065748).

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

11034201420 is a wasteful number, since it uses less digits than its factorization.

11034201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150680 (or 150675 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11034201420 its reverse (2410243011), we get a palindrome (13444444431).

The spelling of 11034201420 in words is "eleven billion, thirty-four million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 150617 301234 451851 602468 753085 903702 1355553 1506170 1656787 1807404 2259255 2711106 3012340 3313574 4518510 4970361 5422212 5572829 6627148 6777765 8283935 9037020 9940722 11145658 13555530 14911083 16567870 16718487 19881444 22291316 24851805 27111060 27864145 29822166 33135740 33436974 49703610 50155461 55728290 59644332 61301119 66873948 74555415 83592435 99407220 100310922 111456580 122602238 149110830 167184870 183903357 200621844 245204476 250777305 298221660 306505595 334369740 367806714 501554610 551710071 613011190 735613428 919516785 1003109220 1103420142 1226022380 1839033570 2206840284 2758550355 3678067140 5517100710 11034201420