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10015244130 = 2356112743093
BaseRepresentation
bin10010101001111010…
…00111111101100010
3221211222110010010210
421110331013331202
5131002400303010
64333445234550
7503121112323
oct112475077542
927758403123
1010015244130
11427a387171
121b36102a56
13c37bc6c78
146b01b044a
153d93beb20
hex254f47f62

10015244130 has 64 divisors (see below), whose sum is σ = 24623566848. Its totient is φ = 2606204160.

The previous prime is 10015244123. The next prime is 10015244143. The reversal of 10015244130 is 3144251001.

It is a super-2 number, since 2×100152441302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10015244097 and 10015244106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210864 + ... + 253956.

It is an arithmetic number, because the mean of its divisors is an integer number (384743232).

Almost surely, 210015244130 is an apocalyptic number.

10015244130 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 10015244130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311783424).

10015244130 is an abundant number, since it is smaller than the sum of its proper divisors (14608322718).

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

10015244130 is a wasteful number, since it uses less digits than its factorization.

10015244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43291.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10015244130 its reverse (3144251001), we get a palindrome (13159495131).

The spelling of 10015244130 in words is "ten billion, fifteen million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 127 183 254 305 366 381 610 635 762 915 1270 1830 1905 3810 7747 15494 23241 38735 43093 46482 77470 86186 116205 129279 215465 232410 258558 430930 646395 1292790 2628673 5257346 5472811 7886019 10945622 13143365 15772038 16418433 26286730 27364055 32836866 39430095 54728110 78860190 82092165 164184330 333841471 667682942 1001524413 1669207355 2003048826 3338414710 5007622065 10015244130