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11240333120 = 2651912714557
BaseRepresentation
bin10100111011111100…
…11101111101000000
31002000100200002022002
422131332131331000
5141010011124440
65055211203132
7545355153332
oct123576357500
932010602262
1011240333120
114848969705
1222184464a8
1310a1963cb3
14788b91452
1545bc14115
hex29df9df40

11240333120 has 112 divisors (see below), whose sum is σ = 28398581760. Its totient is φ = 4225665024.

The previous prime is 11240333113. The next prime is 11240333123. The reversal of 11240333120 is 2133304211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11240333092 and 11240333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240333123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764882 + ... + 779438.

Almost surely, 211240333120 is an apocalyptic number.

11240333120 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 11240333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199290880).

11240333120 is an abundant number, since it is smaller than the sum of its proper divisors (17158248640).

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

11240333120 is a wasteful number, since it uses less digits than its factorization.

11240333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11240333120 its reverse (2133304211), we get a palindrome (13373637331).

The spelling of 11240333120 in words is "eleven billion, two hundred forty million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 127 152 160 190 254 304 320 380 508 608 635 760 1016 1216 1270 1520 2032 2413 2540 3040 4064 4826 5080 6080 8128 9652 10160 12065 14557 19304 20320 24130 29114 38608 40640 48260 58228 72785 77216 96520 116456 145570 154432 193040 232912 276583 291140 386080 465824 553166 582280 772160 931648 1106332 1164560 1382915 1848739 2212664 2329120 2765830 3697478 4425328 4658240 5531660 7394956 8850656 9243695 11063320 14789912 17701312 18487390 22126640 29579824 35126041 36974780 44253280 59159648 70252082 73949560 88506560 118319296 140504164 147899120 175630205 281008328 295798240 351260410 562016656 591596480 702520820 1124033312 1405041640 2248066624 2810083280 5620166560 11240333120