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13119145280 = 265293314271
BaseRepresentation
bin11000011011111011…
…00100010101000000
31020212021222122001122
430031331210111000
5203332000122110
610005444451412
7643050615653
oct141575442500
936767878048
1013119145280
11562246302a
1226616a9b68
131310c89877
148c650189a
1551bb39255
hex30df64540

13119145280 has 112 divisors (see below), whose sum is σ = 32422429440. Its totient is φ = 5050214400.

The previous prime is 13119145267. The next prime is 13119145301. The reversal of 13119145280 is 8254191131.

It is a happy number.

It is a super-2 number, since 2×131191452802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13119145280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069545 + ... + 3073815.

Almost surely, 213119145280 is an apocalyptic number.

13119145280 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 13119145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211214720).

13119145280 is an abundant number, since it is smaller than the sum of its proper divisors (19303284160).

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

13119145280 is a wasteful number, since it uses less digits than its factorization.

13119145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 13119145280 in words is "thirteen billion, one hundred nineteen million, one hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 331 464 580 662 928 1160 1324 1655 1856 2320 2648 3310 4271 4640 5296 6620 8542 9280 9599 10592 13240 17084 19198 21184 21355 26480 34168 38396 42710 47995 52960 68336 76792 85420 95990 105920 123859 136672 153584 170840 191980 247718 273344 307168 341680 383960 495436 614336 619295 683360 767920 990872 1238590 1366720 1413701 1535840 1981744 2477180 2827402 3071680 3963488 4954360 5654804 7068505 7926976 9908720 11309608 14137010 19817440 22619216 28274020 39634880 40997329 45238432 56548040 81994658 90476864 113096080 163989316 204986645 226192160 327978632 409973290 452384320 655957264 819946580 1311914528 1639893160 2623829056 3279786320 6559572640 13119145280