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203120113140 = 2232571279126041
BaseRepresentation
bin1011110100101011100…
…1101111010111110100
3201102021210022212002100
42331022321233113310
511311442222110030
6233151224542100
720450335321530
oct2751271572764
9642253285070
10203120113140
11791630103aa
1233448621930
1316200869c79
149b8c632bc0
15543c342360
hex2f4ae6f5f4

203120113140 has 144 divisors (see below), whose sum is σ = 704705863680. Its totient is φ = 46390786560.

The previous prime is 203120113061. The next prime is 203120113159. The reversal of 203120113140 is 41311021302.

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

It is a congruent number.

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, 1548520 + ... + 1674560.

It is an arithmetic number, because the mean of its divisors is an integer number (4893790720).

Almost surely, 2203120113140 is an apocalyptic number.

203120113140 is a gapful number since it is divisible by the number (20) 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 203120113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352352931840).

203120113140 is an abundant number, since it is smaller than the sum of its proper divisors (501585750540).

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

203120113140 is a wasteful number, since it uses less digits than its factorization.

203120113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127342 (or 127337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203120113140 its reverse (41311021302), we get a palindrome (244431134442).

The spelling of 203120113140 in words is "two hundred three billion, one hundred twenty million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1279 2558 3837 5116 6395 7674 8953 11511 12790 15348 17906 19185 23022 25580 26859 35812 38370 44765 46044 53718 57555 76740 80577 89530 107436 115110 126041 134295 161154 179060 230220 252082 268590 322308 378123 402885 504164 537180 630205 756246 805770 882287 1134369 1260410 1512492 1611540 1764574 1890615 2268738 2520820 2646861 3529148 3781230 4411435 4537476 5293722 5671845 7562460 7940583 8822870 10587444 11343690 13234305 15881166 17645740 22687380 26468610 31762332 39702915 52937220 79405830 158811660 161206439 322412878 483619317 644825756 806032195 967238634 1128445073 1450857951 1612064390 1934477268 2256890146 2418096585 2901715902 3224128780 3385335219 4513780292 4836193170 5642225365 5803431804 6770670438 7254289755 9672386340 10156005657 11284450730 13541340876 14508579510 16926676095 20312011314 22568901460 29017159020 33853352190 40624022628 50780028285 67706704380 101560056570 203120113140