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10213130356540 = 225191011427186479
BaseRepresentation
bin1001010010011110111000…
…0000011100011100111100
31100011100212121121011100021
42110213232000130130330
52314312442332402130
633415503004141524
72102605614443206
oct224475600343474
940140777534307
1010213130356540
113288400915451
12118b4588378a4
1359112b85b227
14274464dcd776
1512aa00eb837a
hex949ee01c73c

10213130356540 has 96 divisors (see below), whose sum is σ = 22816021939200. Its totient is φ = 3829213843200.

The previous prime is 10213130356511. The next prime is 10213130356553. The reversal of 10213130356540 is 4565303131201.

It is a junction number, because it is equal to n+sod(n) for n = 10213130356496 and 10213130356505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54675021 + ... + 54861499.

It is an arithmetic number, because the mean of its divisors is an integer number (237666895200).

Almost surely, 210213130356540 is an apocalyptic number.

10213130356540 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 10213130356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408010969600).

10213130356540 is an abundant number, since it is smaller than the sum of its proper divisors (12602891582660).

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

10213130356540 is a wasteful number, since it uses less digits than its factorization.

10213130356540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188035 (or 188033 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 10213130356540 its reverse (4565303131201), we get a palindrome (14778433487741).

The spelling of 10213130356540 in words is "ten trillion, two hundred thirteen billion, one hundred thirty million, three hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1427 1919 2020 2854 3838 5708 7135 7676 9595 14270 19190 27113 28540 38380 54226 108452 135565 144127 186479 271130 288254 372958 542260 576508 720635 745916 932395 1441270 1864790 2738413 2882540 3543101 3729580 5476826 7086202 10953652 13692065 14172404 17715505 18834379 27384130 35431010 37668758 54768260 70862020 75337516 94171895 188343790 266105533 357853201 376687580 532211066 715706402 1064422132 1330527665 1431412804 1789266005 2661055330 3578532010 5056005127 5322110660 7157064020 10112010254 20224020508 25280025635 26876658833 50560051270 53753317666 101120102540 107506635332 134383294165 268766588330 510656517827 537533176660 1021313035654 2042626071308 2553282589135 5106565178270 10213130356540