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10213123003230 = 2357671979366791
BaseRepresentation
bin1001010010011110110110…
…0100011001001101011110
31100011100212002202120111110
42110213231210121031132
52314312433442100410
633415502142402450
72102605465106040
oct224475544311536
940140762676443
1010213123003230
1132883a7752834
12118b456290426
1359112a185264
14274464037a90
1512aa00514720
hex949ed91935e

10213123003230 has 128 divisors (see below), whose sum is σ = 28445687930880. Its totient is φ = 2298417644160.

The previous prime is 10213123003121. The next prime is 10213123003231. The reversal of 10213123003230 is 3230032131201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10213123003197 and 10213123003206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213123003231) 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, 27661135 + ... + 28027925.

It is an arithmetic number, because the mean of its divisors is an integer number (222231936960).

Almost surely, 210213123003230 is an apocalyptic number.

10213123003230 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 10213123003230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222843965440).

10213123003230 is an abundant number, since it is smaller than the sum of its proper divisors (18232564927650).

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

10213123003230 is a wasteful number, since it uses less digits than its factorization.

10213123003230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368854.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10213123003230 its reverse (3230032131201), we get a palindrome (13443155134431).

The spelling of 10213123003230 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-three million, three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 1979 2010 2345 2814 3958 4690 5937 7035 9895 11874 13853 14070 19790 27706 29685 41559 59370 69265 83118 132593 138530 207795 265186 366791 397779 415590 662965 733582 795558 928151 1100373 1325930 1833955 1856302 1988895 2200746 2567537 2784453 3667910 3977790 4640755 5135074 5501865 5568906 7702611 9281510 11003730 12837685 13922265 15405222 24574997 25675370 27844530 38513055 49149994 73724991 77026110 122874985 147449982 172024979 245749970 344049958 368624955 516074937 725879389 737249910 860124895 1032149874 1451758778 1720249790 2177638167 2580374685 3629396945 4355276334 5081155723 5160749370 7258793890 10162311446 10888190835 15243467169 21776381670 25405778615 30486934338 48633919063 50811557230 76217335845 97267838126 145901757189 152434671690 243169595315 291803514378 340437433441 486339190630 680874866882 729508785945 1021312300323 1459017571890 1702187167205 2042624600646 3404374334410 5106561501615 10213123003230