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10220403534030 = 23252934711284909
BaseRepresentation
bin1001010010111001111110…
…0001011010100011001110
31100012001122111100212012100
42110232133201122203032
52314422341301042110
633423104421415530
72103254061436254
oct224563741324316
940161574325170
1010220403534030
1132904a3393338
12119094856a5a6
13591a1a630351
14274954d3a5d4
1512acc9793bc0
hex94b9f85a8ce

10220403534030 has 96 divisors (see below), whose sum is σ = 27568583733600. Its totient is φ = 2623876528896.

The previous prime is 10220403534023. The next prime is 10220403534053. The reversal of 10220403534030 is 3043530402201.

10220403534030 is a `hidden beast` number, since 1 + 0 + 2 + 204 + 0 + 3 + 53 + 403 + 0 = 666.

It is a super-3 number, since 3×102204035340303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220403533985 and 10220403534003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736785 + ... + 6548124.

It is an arithmetic number, because the mean of its divisors is an integer number (287172747225).

Almost surely, 210220403534030 is an apocalyptic number.

10220403534030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220403534030 is an abundant number, since it is smaller than the sum of its proper divisors (17348180199570).

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

10220403534030 is a wasteful number, since it uses less digits than its factorization.

10220403534030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285298 (or 11285295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10220403534030 its reverse (3043530402201), we get a palindrome (13263933936231).

The spelling of 10220403534030 in words is "ten trillion, two hundred twenty billion, four hundred three million, five hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 347 435 522 694 870 1041 1305 1735 2082 2610 3123 3470 5205 6246 10063 10410 15615 20126 30189 31230 50315 60378 90567 100630 150945 181134 301890 452835 905670 11284909 22569818 33854727 56424545 67709454 101564181 112849090 169273635 203128362 327262361 338547270 507820905 654524722 981787083 1015641810 1636311805 1963574166 2945361249 3272623610 3915863423 4908935415 5890722498 7831726846 9817870830 11747590269 14726806245 19579317115 23495180538 29453612490 35242770807 39158634230 58737951345 70485541614 113560039267 117475902690 176213854035 227120078534 340680117801 352427708070 567800196335 681360235602 1022040353403 1135600392670 1703400589005 2044080706806 3406801178010 5110201767015 10220403534030