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1101101001224 = 237113593293431
BaseRepresentation
bin10000000001011110101…
…110111110101000001000
310220021010121210102110212
4100001132232332220020
5121020023324014344
62201501103500252
7142360211040440
oct20013656765010
93807117712425
101101101001224
11394a7989a564
121594985b7688
137caaac198a3
143b4177c7120
151d99748379e
hex1005ebbea08

1101101001224 has 64 divisors (see below), whose sum is σ = 2384404957440. Its totient is φ = 466933985280.

The previous prime is 1101101001113. The next prime is 1101101001233. The reversal of 1101101001224 is 4221001011011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1101101001199 and 1101101001208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3605789 + ... + 3899219.

It is an arithmetic number, because the mean of its divisors is an integer number (37256327460).

Almost surely, 21101101001224 is an apocalyptic number.

1101101001224 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 1101101001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192202478720).

1101101001224 is an abundant number, since it is smaller than the sum of its proper divisors (1283303956216).

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

1101101001224 is a wasteful number, since it uses less digits than its factorization.

1101101001224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294150 (or 294146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1101101001224 its reverse (4221001011011), we get a palindrome (5322102012235).

The spelling of 1101101001224 in words is "one trillion, one hundred one billion, one hundred one million, one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 593 791 904 1186 1582 2372 3164 4151 4744 6328 8302 16604 33208 67009 134018 268036 293431 469063 536072 586862 938126 1173724 1876252 2054017 2347448 3752504 4108034 8216068 16432136 33157703 66315406 132630812 174004583 232103921 265261624 348009166 464207842 696018332 928415684 1218032081 1392036664 1856831368 2436064162 4872128324 9744256648 19662517879 39325035758 78650071516 137637625153 157300143032 275275250306 550550500612 1101101001224