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11203340124144 = 2437237919183067
BaseRepresentation
bin1010001100000111101100…
…0110111011111111110000
31110200000210000222020202110
42203001323012323333300
52432023420032433034
635454424324045320
72234262132545520
oct243017306737760
943600700866673
1011203340124144
11362a34547a893
12130b347b33840
1363361673373c
142aa35d0b9680
15146657ea9de9
hexa307b1bbff0

11203340124144 has 160 divisors (see below), whose sum is σ = 34519184916480. Its totient is φ = 3061379033856.

The previous prime is 11203340124143. The next prime is 11203340124149. The reversal of 11203340124144 is 44142104330211.

It is a happy number.

It is a super-3 number, since 3×112033401241443 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203340124143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61106499 + ... + 61289565.

It is an arithmetic number, because the mean of its divisors is an integer number (215744905728).

Almost surely, 211203340124144 is an apocalyptic number.

11203340124144 is a gapful number since it is divisible by the number (14) 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 11203340124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259592458240).

11203340124144 is an abundant number, since it is smaller than the sum of its proper divisors (23315844792336).

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

11203340124144 is a wasteful number, since it uses less digits than its factorization.

11203340124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191027 (or 191021 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11203340124144 its reverse (44142104330211), we get a palindrome (55345444454355).

The spelling of 11203340124144 in words is "eleven trillion, two hundred three billion, three hundred forty million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 7919 15838 23757 31676 47514 55433 63352 95028 110866 126704 166299 182137 183067 190056 221732 332598 364274 366134 380112 443464 546411 549201 665196 728548 732268 886928 1092822 1098402 1274959 1281469 1330392 1457096 1464536 2185644 2196804 2549918 2562938 2660784 2914192 2929072 3824877 3844407 4210541 4371288 4393608 5099836 5125876 7649754 7688814 8421082 8742576 8787216 10199672 10251752 12631623 15299508 15377628 16842164 20399344 20503504 25263246 29473787 30599016 30755256 33684328 50526492 58947574 61198032 61510512 67368656 88421361 101052984 117895148 176842722 202105968 235790296 353685444 471580592 707370888 1414741776 1449707573 2899415146 4349122719 5798830292 8698245438 10147953011 11597660584 17396490876 20295906022 23195321168 30443859033 33343274179 34792981752 40591812044 60887718066 66686548358 69585963504 81183624088 100029822537 121775436132 133373096716 162367248176 200059645074 233402919253 243550872264 266746193432 400119290148 466805838506 487101744528 533492386864 700208757759 800238580296 933611677012 1400417515518 1600477160592 1867223354024 2800835031036 3734446708048 5601670062072 11203340124144