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11100124420 = 22571147153359
BaseRepresentation
bin10100101011001111…
…00111010100000100
31001122120211202010021
422111213213110010
5140213112440140
65033242104524
7542033333530
oct122547472404
931576752107
1011100124420
114786804850
1221994ab144
13107b8b2978
147742d4bc0
1544e76ab4a
hex2959e7504

11100124420 has 96 divisors (see below), whose sum is σ = 29680680960. Its totient is φ = 3386144640.

The previous prime is 11100124417. The next prime is 11100124457. The reversal of 11100124420 is 2442100111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11100124394 and 11100124403.

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, 4300 + ... + 149059.

It is an arithmetic number, because the mean of its divisors is an integer number (309173760).

Almost surely, 211100124420 is an apocalyptic number.

11100124420 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 11100124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840340480).

11100124420 is an abundant number, since it is smaller than the sum of its proper divisors (18580556540).

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

11100124420 is a wasteful number, since it uses less digits than its factorization.

11100124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153433 (or 153431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11100124420 its reverse (2442100111), we get a palindrome (13542224531).

The spelling of 11100124420 in words is "eleven billion, one hundred million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 72380 153359 306718 613436 766795 1073513 1533590 1686949 2147026 3067180 3373898 4294052 5367565 6747796 7207873 8434745 10735130 11808643 14415746 16869490 21470260 23617286 28831492 33738980 36039365 47234572 50455111 59043215 72078730 79286603 100910222 118086430 144157460 158573206 201820444 236172860 252275555 317146412 396433015 504551110 555006221 792866030 1009102220 1110012442 1585732060 2220024884 2775031105 5550062210 11100124420