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1102022010224 = 243122771913613
BaseRepresentation
bin10000000010010101101…
…000010110010101110000
310220100111210211112022022
4100002111220112111300
5121023420113311344
62202132324131012
7142422063350042
oct20022550262560
93810453745268
101102022010224
11395401771223
121596b4b36a68
137cbc698aa25
143b4a3c51a92
151d9ed2600ee
hex10095a16570

1102022010224 has 80 divisors (see below), whose sum is σ = 2216995246080. Its totient is φ = 530110083840.

The previous prime is 1102022010181. The next prime is 1102022010253. The reversal of 1102022010224 is 4220102202011.

It is a super-2 number, since 2×11020220102242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 80946842 + ... + 80960454.

It is an arithmetic number, because the mean of its divisors is an integer number (27712440576).

Almost surely, 21102022010224 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 1102022010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108497623040).

1102022010224 is an abundant number, since it is smaller than the sum of its proper divisors (1114973235856).

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

1102022010224 is a wasteful number, since it uses less digits than its factorization.

1102022010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598 (or 14592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1102022010224 its reverse (4220102202011), we get a palindrome (5322124212235).

The spelling of 1102022010224 in words is "one trillion, one hundred two billion, twenty-two million, ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 227 248 454 496 719 908 1438 1816 2876 3632 5752 7037 11504 13613 14074 22289 27226 28148 44578 54452 56296 89156 108904 112592 163213 178312 217808 326426 356624 422003 652852 844006 1305704 1688012 2611408 3090151 3376024 5059603 6180302 6752048 9787747 10119206 12360604 19575494 20238412 24721208 39150988 40476824 49442416 78301976 80953648 95794681 156603952 191589362 303420157 383178724 606840314 766357448 1213680628 1532714896 2221818569 2427361256 4443637138 4854722512 8887274276 17774548552 35549097104 68876375639 137752751278 275505502556 551011005112 1102022010224