Search a number
-
+
203213300433440 = 25511293981451811
BaseRepresentation
bin101110001101001001001000…
…100101100000001000100000
3222122112000001022022001011212
4232031021020211200020200
5203113421314402332230
62000110522413325252
760542451011326523
oct5615111045401040
9878460038261155
10203213300433440
1159828305375780
121a960123196828
138950c167ccabb
14382780d210bba
15187609e751895
hexb8d248960220

203213300433440 has 96 divisors (see below), whose sum is σ = 541795962576960. Its totient is φ = 71347616435200.

The previous prime is 203213300433433. The next prime is 203213300433443. The reversal of 203213300433440 is 44334003312302.

It is a super-3 number, since 3×2032133004334403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 203213300433397 and 203213300433406.

It is not an unprimeable number, because it can be changed into a prime (203213300433443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990674866 + ... + 1990776945.

It is an arithmetic number, because the mean of its divisors is an integer number (5643707943510).

Almost surely, 2203213300433440 is an apocalyptic number.

203213300433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203213300433440 is an abundant number, since it is smaller than the sum of its proper divisors (338582662143520).

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

203213300433440 is a wasteful number, since it uses less digits than its factorization.

203213300433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981451866 (or 3981451858 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 203213300433440 its reverse (44334003312302), we get a palindrome (247547303745742).

The spelling of 203213300433440 in words is "two hundred three trillion, two hundred thirteen billion, three hundred million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 25520 51040 3981451811 7962903622 15925807244 19907259055 31851614488 39814518110 43795969921 63703228976 79629036220 87591939842 115462102519 127406457952 159258072440 175183879684 218979849605 230924205038 318516144880 350367759368 437959699210 461848410076 577310512595 637032289760 700735518736 875919398420 923696820152 1154621025190 1270083127709 1401471037472 1751838796840 1847393640304 2309242050380 2540166255418 3503677593680 3694787280608 4618484100760 5080332510836 6350415638545 7007355187360 9236968201520 10160665021672 12700831277090 18473936403040 20321330043344 25401662554180 40642660086688 50803325108360 101606650216720 203213300433440