Search a number
-
+
4214311101 = 32721113173931
BaseRepresentation
bin1111101100110001…
…0100100010111101
3101212200222012000100
43323030110202331
532112330423401
61534103151313
7206302024200
oct37314244275
911780865010
104214311101
111872961340
12997445539
13522149910
142bd9bd937
15199ea9b86
hexfb3148bd

4214311101 has 144 divisors (see below), whose sum is σ = 8810762688. Its totient is φ = 1901491200.

The previous prime is 4214311099. The next prime is 4214311111. The reversal of 4214311101 is 1011134124.

It is not a de Polignac number, because 4214311101 - 21 = 4214311099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214311111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1070106 + ... + 1074036.

It is an arithmetic number, because the mean of its divisors is an integer number (61185852).

Almost surely, 24214311101 is an apocalyptic number.

It is an amenable number.

4214311101 is an abundant number, since it is smaller than the sum of its proper divisors (4596451587).

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

4214311101 is a wasteful number, since it uses less digits than its factorization.

4214311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4214311101 is about 64917.7256302160. The cubic root of 4214311101 is about 1615.2591035047.

Adding to 4214311101 its reverse (1011134124), we get a palindrome (5225445225).

The spelling of 4214311101 in words is "four billion, two hundred fourteen million, three hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 11 13 17 21 33 39 49 51 63 77 91 99 117 119 143 147 153 187 221 231 273 357 429 441 539 561 637 663 693 819 833 1001 1071 1287 1309 1547 1617 1683 1911 1989 2431 2499 3003 3927 3931 4641 4851 5733 7007 7293 7497 9009 9163 10829 11781 11793 13923 17017 21021 21879 27489 27517 32487 35379 43241 51051 51103 63063 66827 82467 82551 97461 119119 129723 153153 153309 192619 200481 247653 302687 357357 357721 389169 459927 467789 562133 577857 601443 735097 868751 908061 1072071 1073163 1403367 1686399 1733571 2118809 2205291 2504047 2606253 2724183 3219489 3274523 3934931 4210101 5059197 5145679 6081257 6356427 6615873 7512141 7818759 9556261 9823569 11804793 15437037 18243771 19069281 22536423 27544517 28668783 29470707 35414379 36019753 42568799 46311111 54731313 66893827 82633551 86006349 108059259 127706397 200681481 247900653 324177777 383119191 468256789 602044443 1404770367 4214311101