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1101022424416 = 252359161915661
BaseRepresentation
bin10000000001011010000…
…011001110110101100000
310220020221010221022100201
4100001122003032311200
5121014343220040131
62201445215354544
7142355235122515
oct20013203166540
93806833838321
101101022424416
11394a39500652
12159476222a54
137ca97867235
143b40b1b130c
151d990611761
hex1005a0ced60

1101022424416 has 96 divisors (see below), whose sum is σ = 2301787756800. Its totient is φ = 517298158080.

The previous prime is 1101022424263. The next prime is 1101022424417. The reversal of 1101022424416 is 6144242201011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101022424417) 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, 70295626 + ... + 70311286.

It is an arithmetic number, because the mean of its divisors is an integer number (23976955800).

Almost surely, 21101022424416 is an apocalyptic number.

1101022424416 is a gapful number since it is divisible by the number (16) 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 1101022424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150893878400).

1101022424416 is an abundant number, since it is smaller than the sum of its proper divisors (1200765332384).

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

1101022424416 is a wasteful number, since it uses less digits than its factorization.

1101022424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17372 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1101022424416 its reverse (6144242201011), we get a palindrome (7245264625427).

The spelling of 1101022424416 in words is "one trillion, one hundred one billion, twenty-two million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 1357 1619 1888 2714 3238 5428 6476 10856 12952 15661 21712 25904 31322 37237 43424 51808 62644 74474 95521 125288 148948 191042 250576 297896 360203 382084 501152 595792 720406 764168 923999 1191584 1440812 1528336 1847998 2196983 2881624 3056672 3695996 4393966 5763248 7391992 8787932 11526496 14783984 17575864 21251977 25355159 29567968 35151728 42503954 50710318 70303456 85007908 101420636 170015816 202841272 340031632 405682544 583168657 680063264 811365088 1166337314 1495954381 2332674628 2991908762 4665349256 5983817524 9330698512 11967635048 18661397024 23935270096 34406950763 47870540192 68813901526 137627803052 275255606104 550511212208 1101022424416