Search a number
-
+
204010214331 = 371117532633727
BaseRepresentation
bin1011110111111111110…
…1001101001110111011
3201111120211012200101010
42331333331031032323
511320303103324311
6233415422525003
720511364131660
oct2757775151673
9644524180333
10204010214331
117957a4a1620
1233656736763
13163130a8b71
149c34933a67
155490565da6
hex2f7ff4d3bb

204010214331 has 128 divisors (see below), whose sum is σ = 367347695616. Its totient is φ = 97465006080.

The previous prime is 204010214321. The next prime is 204010214363. The reversal of 204010214331 is 133412010402.

It is not a de Polignac number, because 204010214331 - 26 = 204010214267 is a prime.

It is a super-2 number, since 2×2040102143312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204010214298 and 204010214307.

It is not an unprimeable number, because it can be changed into a prime (204010214321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54736590 + ... + 54740316.

It is an arithmetic number, because the mean of its divisors is an integer number (2869903872).

Almost surely, 2204010214331 is an apocalyptic number.

204010214331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204010214331 is a deficient number, since it is larger than the sum of its proper divisors (163337481285).

204010214331 is a wasteful number, since it uses less digits than its factorization.

204010214331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 204010214331 its reverse (133412010402), we get a palindrome (337422224733).

The spelling of 204010214331 in words is "two hundred four billion, ten million, two hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 51 53 77 119 159 187 231 263 357 371 561 583 789 901 1113 1309 1749 1841 2703 2893 3727 3927 4081 4471 5523 6307 8679 9911 11181 12243 13413 13939 18921 20251 26089 29733 31297 40997 41817 49181 60753 63359 69377 78267 93891 97573 122991 147543 153329 190077 197531 208131 236963 286979 292719 344267 443513 459987 592593 696949 710889 860937 980201 1032801 1073303 1330539 1382717 1658741 2090847 2172841 2606593 2940603 3219909 3358027 4148151 4878643 4976223 6518523 6861407 7819779 10074081 10782211 14635929 15209887 16663417 18246151 20584221 23506189 32346633 36938297 45629661 49990251 51950653 54738453 70518567 75475477 110814891 116643919 155851959 183297587 226426431 258568079 349931757 363654571 549892761 571457183 775704237 883161101 1090963713 1283083109 1714371549 2649483303 3849249327 4000200281 6182127707 9714772111 12000600843 18546383121 29144316333 68003404777 204010214331