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1030311212220 = 223251732191251
BaseRepresentation
bin11101111111000110101…
…01010111010010111100
310122111102011022112202200
432333203111113102330
5113340034132242340
62105152440551500
7134303033543103
oct16774325272274
93574364275680
101030311212220
11367a52901304
12147821182590
1376208c85c84
1437c1dd4303a
151bc02866330
hexefe35574bc

1030311212220 has 108 divisors (see below), whose sum is σ = 3143463389976. Its totient is φ = 273160080000.

The previous prime is 1030311212213. The next prime is 1030311212221. The reversal of 1030311212220 is 222121130301.

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 = 1030311212193 and 1030311212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030311212221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5291595 + ... + 5482845.

Almost surely, 21030311212220 is an apocalyptic number.

1030311212220 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 1030311212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571731694988).

1030311212220 is an abundant number, since it is smaller than the sum of its proper divisors (2113152177756).

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

1030311212220 is a wasteful number, since it uses less digits than its factorization.

1030311212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191612 (or 191434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030311212220 its reverse (222121130301), we get a palindrome (1252432342521).

The spelling of 1030311212220 in words is "one trillion, thirty billion, three hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 29929 31140 59858 89787 119716 149645 179574 191251 269361 299290 359148 382502 448935 538722 573753 598580 765004 897870 956255 1077444 1147506 1346805 1721259 1795740 1912510 2295012 2693610 2868765 3442518 3825020 5387220 5737530 6885036 8606295 11475060 17212590 33086423 34425180 66172846 99259269 132345692 165432115 198518538 297777807 330864230 397037076 496296345 595555614 661728460 992592690 1191111228 1488889035 1985185380 2977778070 5723951179 5955556140 11447902358 17171853537 22895804716 28619755895 34343707074 51515560611 57239511790 68687414148 85859267685 103031121222 114479023580 171718535370 206062242444 257577803055 343437070740 515155606110 1030311212220