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141121321200200 = 235211232788958917
BaseRepresentation
bin100000000101100101011110…
…001110000110101001001000
3200111200001210111220111112102
4200011211132032012221020
5121444112431211401300
61220050123455532532
741503451616156125
oct4005453616065110
9614601714814472
10141121321200200
1140a69241879550
12139b2310b2a148
1360988b6812063
1426bc44631974c
15114ad51bd50d5
hex80595e386a48

141121321200200 has 96 divisors (see below), whose sum is σ = 373497378298560. Its totient is φ = 49085676921600.

The previous prime is 141121321200149. The next prime is 141121321200203. The reversal of 141121321200200 is 2002123121141.

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

It is not an unprimeable number, because it can be changed into a prime (141121321200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394428859 + ... + 1394530058.

It is an arithmetic number, because the mean of its divisors is an integer number (3890597690610).

Almost surely, 2141121321200200 is an apocalyptic number.

141121321200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141121321200200 is an abundant number, since it is smaller than the sum of its proper divisors (232376057098360).

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

141121321200200 is a wasteful number, since it uses less digits than its factorization.

141121321200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788958967 (or 2788958958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 141121321200200 its reverse (2002123121141), we get a palindrome (143123444321341).

The spelling of 141121321200200 in words is "one hundred forty-one trillion, one hundred twenty-one billion, three hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 2788958917 5577917834 11155835668 13944794585 22311671336 27889589170 30678548087 55779178340 61357096174 64146055091 69723972925 111558356680 122714192348 128292110182 139447945850 153392740435 245428384696 256584220364 278895891700 306785480870 320730275455 513168440728 557791783400 613570961740 641460550910 705606606001 766963702175 1227141923480 1282921101820 1411213212002 1533927404350 1603651377275 2565842203640 2822426424004 3067854808700 3207302754550 3528033030005 5644852848008 6135709617400 6414605509100 7056066060010 12829211018200 14112132120020 17640165150025 28224264240040 35280330300050 70560660600100 141121321200200