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203143109796 = 223211268292
BaseRepresentation
bin1011110100110001000…
…1011101110010100100
3201102100101121012120100
42331030101131302210
511312014114003141
6233153405504100
720451034641264
oct2751421356244
9642311535510
10203143109796
1179174a98100
1233454272030
131620555c363
149b916db7a4
15543e3860b6
hex2f4c45dca4

203143109796 has 81 divisors (see below), whose sum is σ = 564508985313. Its totient is φ = 61549503840.

The previous prime is 203143109779. The next prime is 203143109839. The reversal of 203143109796 is 697901341302.

The square root of 203143109796 is 450714.

It is a perfect power (a square), and thus also a powerful number.

203143109796 is a `hidden beast` number, since 203 + 1 + 431 + 0 + 9 + 7 + 9 + 6 = 666.

203143109796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110166903396 + 92976206400 = 331914^2 + 304920^2 .

It is a super-2 number, since 2×2031431097962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 29743710 + ... + 29750538.

Almost surely, 2203143109796 is an apocalyptic number.

203143109796 is the 450714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203143109796

203143109796 is an abundant number, since it is smaller than the sum of its proper divisors (361365875517).

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

203143109796 is an equidigital number, since it uses as much as digits as its factorization.

203143109796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13690 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 203143109796 in words is "two hundred three billion, one hundred forty-three million, one hundred nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6829 13658 20487 27316 40974 61461 75119 81948 122922 150238 225357 245844 300476 450714 676071 826309 901428 1352142 1652618 2478927 2704284 3305236 4957854 7436781 9915708 14873562 29747124 46635241 93270482 139905723 186540964 279811446 419717169 512987651 559622892 839434338 1025975302 1538962953 1678868676 2051950604 3077925906 4616888859 5642864161 6155851812 9233777718 11285728322 16928592483 18467555436 22571456644 33857184966 50785777449 67714369932 101571554898 203143109796