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1102322102220 = 22325101155339043
BaseRepresentation
bin10000000010100111100…
…001000110111111001100
310220101021201111210010200
4100002213201012333030
5121030023424232340
62202222204133500
7142432366161603
oct20024741067714
93811251453120
101102322102220
113955460a8839
12159779537290
137cc43bbb661
143b4d1a4aa3a
151da1978b330
hex100a7846fcc

1102322102220 has 144 divisors (see below), whose sum is σ = 3379077348192. Its totient is φ = 290847283200.

The previous prime is 1102322102209. The next prime is 1102322102227. The reversal of 1102322102220 is 222012232011.

1102322102220 is a `hidden beast` number, since 1 + 1 + 0 + 232 + 210 + 2 + 220 = 666.

It is a super-2 number, since 2×11023221022202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102322102193 and 1102322102202.

It is not an unprimeable number, because it can be changed into a prime (1102322102227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28214019 + ... + 28253061.

It is an arithmetic number, because the mean of its divisors is an integer number (23465814918).

Almost surely, 21102322102220 is an apocalyptic number.

1102322102220 is a gapful number since it is divisible by the number (10) 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 1102322102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689538674096).

1102322102220 is an abundant number, since it is smaller than the sum of its proper divisors (2276755245972).

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

1102322102220 is a wasteful number, since it uses less digits than its factorization.

1102322102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40712 (or 40707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102322102220 its reverse (222012232011), we get a palindrome (1324334334231).

The spelling of 1102322102220 in words is "one trillion, one hundred two billion, three hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1553 1818 2020 3030 3106 3636 4545 4659 6060 6212 7765 9090 9318 13977 15530 18180 18636 23295 27954 31060 39043 46590 55908 69885 78086 93180 117129 139770 156172 156853 195215 234258 279540 313706 351387 390430 468516 470559 585645 627412 702774 780860 784265 941118 1171290 1405548 1411677 1568530 1756935 1882236 2342580 2352795 2823354 3137060 3513870 3943343 4705590 5646708 7027740 7058385 7886686 9411180 11830029 14116770 15773372 19716715 23660058 28233540 35490087 39433430 47320116 59150145 60633779 70980174 78866860 118300290 121267558 141960348 177450435 181901337 236600580 242535116 303168895 354900870 363802674 545704011 606337790 709801740 727605348 909506685 1091408022 1212675580 1819013370 2182816044 2728520055 3638026740 5457040110 6124011679 10914080220 12248023358 18372035037 24496046716 30620058395 36744070074 55116105111 61240116790 73488140148 91860175185 110232210222 122480233580 183720350370 220464420444 275580525555 367440700740 551161051110 1102322102220