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1353120230 = 25711101127137
BaseRepresentation
bin101000010100110…
…1111100111100110
310111022010122000002
41100221233213212
510232344321410
6342134021302
745350221640
oct12051574746
93438118002
101353120230
1163488a290
123191a7832
13187446677
14cb9cb890
157dbd47a5
hex50a6f9e6

1353120230 has 128 divisors (see below), whose sum is σ = 3113385984. Its totient is φ = 411264000.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120230 is 320213531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9876722 + ... + 9876858.

It is an arithmetic number, because the mean of its divisors is an integer number (24323328).

Almost surely, 21353120230 is an apocalyptic number.

1353120230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353120230 is an abundant number, since it is smaller than the sum of its proper divisors (1760265754).

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

1353120230 is a wasteful number, since it uses less digits than its factorization.

1353120230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1353120230 is about 36784.7825873689. The cubic root of 1353120230 is about 1106.0602778052.

Adding to 1353120230 its reverse (320213531), we get a palindrome (1673333761).

The spelling of 1353120230 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 101 110 127 137 154 202 254 274 385 505 635 685 707 770 889 959 1010 1111 1270 1370 1397 1414 1507 1778 1918 2222 2794 3014 3535 4445 4795 5555 6985 7070 7535 7777 8890 9590 9779 10549 11110 12827 13837 13970 15070 15554 17399 19558 21098 25654 27674 34798 38885 48895 52745 64135 69185 77770 86995 89789 96859 97790 105490 121793 128270 138370 141097 152207 173990 179578 191389 193718 243586 282194 304414 382778 448945 484295 608965 705485 761035 897890 956945 968590 987679 1065449 1217930 1339723 1410970 1522070 1757299 1913890 1975358 2130898 2679446 3514598 4938395 5327245 6698615 8786495 9876790 10654490 12301093 13397230 17572990 19330289 24602186 38660578 61505465 96651445 123010930 135312023 193302890 270624046 676560115 1353120230