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1010223023220 = 22325231671461169
BaseRepresentation
bin11101011001101011111…
…11000000010001110100
310120120120011211210221200
432230311333000101310
5113022414043220340
62052031241212500
7132662161005315
oct16546577002164
93516504753850
101010223023220
1135a484618614
12143955791130
13743572417c8
1436c7606260c
151b428eca330
hexeb35fc0474

1010223023220 has 144 divisors (see below), whose sum is σ = 3216724842240. Its totient is φ = 256136905728.

The previous prime is 1010223023153. The next prime is 1010223023221. The reversal of 1010223023220 is 223203220101.

1010223023220 is a `hidden beast` number, since 10 + 10 + 22 + 302 + 322 + 0 = 666.

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 = 1010223023193 and 1010223023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010223023221) 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, 39205 + ... + 1421964.

It is an arithmetic number, because the mean of its divisors is an integer number (22338366960).

Almost surely, 21010223023220 is an apocalyptic number.

1010223023220 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 1010223023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608362421120).

1010223023220 is an abundant number, since it is smaller than the sum of its proper divisors (2206501819020).

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

1010223023220 is a wasteful number, since it uses less digits than its factorization.

1010223023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461374 (or 1461369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1010223023220 its reverse (223203220101), we get a palindrome (1233426243321).

The spelling of 1010223023220 in words is "one trillion, ten billion, two hundred twenty-three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 167 180 207 230 276 334 345 414 460 501 668 690 828 835 1002 1035 1380 1503 1670 2004 2070 2505 3006 3340 3841 4140 5010 6012 7515 7682 10020 11523 15030 15364 19205 23046 30060 34569 38410 46092 57615 69138 76820 115230 138276 172845 230460 345690 691380 1461169 2922338 4383507 5844676 7305845 8767014 13150521 14611690 17534028 21917535 26301042 29223380 33606887 43835070 52602084 65752605 67213774 87670140 100820661 131505210 134427548 168034435 201641322 244015223 263010420 302461983 336068870 403282644 488030446 504103305 604923966 672137740 732045669 976060892 1008206610 1209847932 1220076115 1464091338 1512309915 2016413220 2196137007 2440152230 2928182676 3024619830 3660228345 4392274014 4880304460 5612350129 6049239660 7320456690 8784548028 10980685035 11224700258 14640913380 16837050387 21961370070 22449400516 28061750645 33674100774 43922740140 50511151161 56123501290 67348201548 84185251935 101022302322 112247002580 168370503870 202044604644 252555755805 336741007740 505111511610 1010223023220