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13143113010 = 23251919140241
BaseRepresentation
bin11000011110110001…
…11111110100110010
31020220222002022121100
430033120333310302
5203404114104020
610012102305230
7643461421506
oct141730776462
936828068540
1013143113010
115634a43375
122669728216
131315c2bc61
148c9780306
1551dcc0a90
hex30f63fd32

13143113010 has 96 divisors (see below), whose sum is σ = 36159851520. Its totient is φ = 3302899200.

The previous prime is 13143112987. The next prime is 13143113021. The reversal of 13143113010 is 1031134131.

13143113010 is a `hidden beast` number, since 1 + 314 + 311 + 30 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306490 + ... + 346730.

It is an arithmetic number, because the mean of its divisors is an integer number (376665120).

Almost surely, 213143113010 is an apocalyptic number.

13143113010 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 13143113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079925760).

13143113010 is an abundant number, since it is smaller than the sum of its proper divisors (23016738510).

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

13143113010 is a wasteful number, since it uses less digits than its factorization.

13143113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40464 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13143113010 its reverse (1031134131), we get a palindrome (14174247141).

It can be divided in two parts, 131431 and 13010, that added together give a palindrome (144441).

The spelling of 13143113010 in words is "thirteen billion, one hundred forty-three million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 191 285 342 382 570 573 855 955 1146 1710 1719 1910 2865 3438 3629 5730 7258 8595 10887 17190 18145 21774 32661 36290 40241 54435 65322 80482 108870 120723 163305 201205 241446 326610 362169 402410 603615 724338 764579 1207230 1529158 1810845 2293737 3621690 3822895 4587474 6881211 7645790 7686031 11468685 13762422 15372062 22937370 23058093 34406055 38430155 46116186 68812110 69174279 76860310 115290465 138348558 146034589 230580930 292069178 345871395 438103767 691742790 730172945 876207534 1314311301 1460345890 2190518835 2628622602 4381037670 6571556505 13143113010