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1103334430224 = 243132673202099
BaseRepresentation
bin10000000011100011110…
…110110101011000010000
310220110220021101101002110
4100003203312311120100
5121034112103231344
62202510445545320
7142466440626315
oct20034366653020
93813807341073
101103334430224
11395a15581854
12159a00575240
1380075853c00
143b58a286d0c
151da785a53b9
hex100e3db5610

1103334430224 has 120 divisors (see below), whose sum is σ = 3090999856800. Its totient is φ = 338981400576.

The previous prime is 1103334430213. The next prime is 1103334430229. The reversal of 1103334430224 is 4220344333011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1103334430191 and 1103334430200.

It is not an unprimeable number, because it can be changed into a prime (1103334430229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5358327 + ... + 5560425.

It is an arithmetic number, because the mean of its divisors is an integer number (25758332140).

Almost surely, 21103334430224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103334430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545499928400).

1103334430224 is an abundant number, since it is smaller than the sum of its proper divisors (1987665426576).

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

1103334430224 is a wasteful number, since it uses less digits than its factorization.

1103334430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202809 (or 202790 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1103334430224 its reverse (4220344333011), we get a palindrome (5323678763235).

The spelling of 1103334430224 in words is "one trillion, one hundred three billion, three hundred thirty-four million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 673 676 1014 1346 1352 2019 2028 2692 2704 4038 4056 5384 8076 8112 8749 10768 16152 17498 26247 32304 34996 52494 69992 104988 113737 139984 202099 209976 227474 341211 404198 419952 454948 606297 682422 808396 909896 1212594 1364844 1616792 1819792 2425188 2627287 2729688 3233584 4850376 5254574 5459376 7881861 9700752 10509148 15763722 21018296 31527444 34154731 42036592 63054888 68309462 102464193 126109776 136012627 136618924 204928386 272025254 273237848 408037881 409856772 544050508 546475696 816075762 819713544 1088101016 1632151524 1639427088 1768164151 2176202032 3264303048 3536328302 5304492453 6528606096 7072656604 10608984906 14145313208 21217969812 22986133963 28290626416 42435939624 45972267926 68958401889 84871879248 91944535852 137916803778 183889071704 275833607556 367778143408 551667215112 1103334430224