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13131203120120 = 2356133138342451
BaseRepresentation
bin1011111100010101100010…
…1100101000101111111000
31201111022221010022121102202
42333011120230220233320
53210120200444320440
643532220314445332
72523461311620521
oct277053054505770
951438833277382
1013131203120120
114202a03916878
121580ab9433848
13743361ba7637
143357a71d3848
1517b88ce50615
hexbf158b28bf8

13131203120120 has 128 divisors (see below), whose sum is σ = 30199632814080. Its totient is φ = 5137197120000.

The previous prime is 13131203120093. The next prime is 13131203120141. The reversal of 13131203120120 is 2102130213131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13131203120092 and 13131203120101.

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, 309304895 + ... + 309347345.

It is an arithmetic number, because the mean of its divisors is an integer number (235934631360).

Almost surely, 213131203120120 is an apocalyptic number.

13131203120120 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 13131203120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099816407040).

13131203120120 is an abundant number, since it is smaller than the sum of its proper divisors (17068429693960).

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

13131203120120 is a wasteful number, since it uses less digits than its factorization.

13131203120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43237 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13131203120120 its reverse (2102130213131), we get a palindrome (15233333333251).

The spelling of 13131203120120 in words is "thirteen trillion, one hundred thirty-one billion, two hundred three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 331 383 488 610 662 766 1220 1324 1532 1655 1915 2440 2648 3064 3310 3830 6620 7660 13240 15320 20191 23363 40382 42451 46726 80764 84902 93452 100955 116815 126773 161528 169804 186904 201910 212255 233630 253546 339608 403820 424510 467260 507092 633865 807640 849020 934520 1014184 1267730 1698040 2535460 2589511 5070920 5179022 7733153 10358044 12947555 14051281 15466306 16258733 20716088 25895110 28102562 30932612 32517466 38665765 51790220 56205124 61865224 65034932 70256405 77331530 81293665 103580440 112410248 130069864 140512810 154663060 162587330 281025620 309326120 325174660 562051240 650349320 857128141 991782713 1714256282 1983565426 3428512564 3967130852 4285640705 4958913565 5381640623 6857025128 7934261704 8571281410 9917827130 10763281246 17142562820 19835654260 21526562492 26908203115 34285125640 39671308520 43053124984 53816406230 107632812460 215265624920 328280078003 656560156006 1313120312012 1641400390015 2626240624024 3282800780030 6565601560060 13131203120120