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10103130312 = 23311371034309
BaseRepresentation
bin10010110100011000…
…11000100011001000
3222002002211012022120
421122030120203020
5131142400132222
64350305051240
7505236122262
oct113214304310
928062735276
1010103130312
114314a54380
121b5b626b20
13c50188a22
146bbb2ab32
153e1e8015c
hex25a3188c8

10103130312 has 64 divisors (see below), whose sum is σ = 28298721600. Its totient is φ = 2978807040.

The previous prime is 10103130283. The next prime is 10103130341. The reversal of 10103130312 is 21303130101.

It is an interprime number because it is at equal distance from previous prime (10103130283) and next prime (10103130341).

It is a junction number, because it is equal to n+sod(n) for n = 10103130291 and 10103130300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507387 + ... + 526922.

It is an arithmetic number, because the mean of its divisors is an integer number (442167525).

Almost surely, 210103130312 is an apocalyptic number.

10103130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103130312 is an abundant number, since it is smaller than the sum of its proper divisors (18195591288).

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

10103130312 is a wasteful number, since it uses less digits than its factorization.

10103130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034366 (or 1034362 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10103130312 its reverse (21303130101), we get a palindrome (31406260413).

The spelling of 10103130312 in words is "ten billion, one hundred three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 1034309 2068618 3102927 4137236 6205854 8274472 11377399 12411708 22754798 24823416 34132197 38269433 45509596 68264394 76538866 91019192 114808299 136528788 153077732 229616598 273057576 306155464 420963763 459233196 841927526 918466392 1262891289 1683855052 2525782578 3367710104 5051565156 10103130312