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10132053455310 = 235171131229143053
BaseRepresentation
bin1001001101110000110101…
…1100100111000111001110
31022212121121020002211120120
42103130031130213013032
52312000421141032220
633314333500525410
72064005505241653
oct223341534470716
938777536084516
1010132053455310
113256a86040556
1211777b0250866
135865aa5a2467
14270573209c2a
151288581c7a40
hex9370d7271ce

10132053455310 has 128 divisors (see below), whose sum is σ = 25996505316480. Its totient is φ = 2518374383616.

The previous prime is 10132053455291. The next prime is 10132053455317. The reversal of 10132053455310 is 1355435023101.

It is a super-2 number, since 2×101320534553102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132053455317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 70755744 + ... + 70898796.

It is an arithmetic number, because the mean of its divisors is an integer number (203097697785).

Almost surely, 210132053455310 is an apocalyptic number.

10132053455310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132053455310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12998252658240).

10132053455310 is an abundant number, since it is smaller than the sum of its proper divisors (15864451861170).

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

10132053455310 is a wasteful number, since it uses less digits than its factorization.

10132053455310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144422.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 10132053455310 its reverse (1355435023101), we get a palindrome (11487488478411).

The spelling of 10132053455310 in words is "ten trillion, one hundred thirty-two billion, fifty-three million, four hundred fifty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 339 510 565 678 1130 1229 1695 1921 2458 3390 3687 3842 5763 6145 7374 9605 11526 12290 18435 19210 20893 28815 36870 41786 57630 62679 104465 125358 138877 143053 208930 277754 286106 313395 416631 429159 626790 694385 715265 833262 858318 1388770 1430530 2083155 2145795 2360909 2431901 4166310 4291590 4721818 4863802 7082727 7295703 11804545 12159505 14165454 14591406 16164989 23609090 24319010 32329978 35413635 36478515 48494967 70827270 72957030 80824945 96989934 161649890 175812137 242474835 274804813 351624274 484949670 527436411 549609626 824414439 879060685 1054872822 1374024065 1648828878 1758121370 2637182055 2748048130 2988806329 4122072195 5274364110 5977612658 8244144390 8966418987 14944031645 17932837974 19866771481 29888063290 39733542962 44832094935 59600314443 89664189870 99333857405 119200628886 198667714810 298001572215 337735115177 596003144430 675470230354 1013205345531 1688675575885 2026410691062 3377351151770 5066026727655 10132053455310