Search a number
-
+
100131202233 = 3229372713947
BaseRepresentation
bin101110101000001001…
…0001110010010111001
3100120110022112002212200
41131100102032102321
53120032041432413
6113555531100413
710143226114206
oct1352022162271
9316408462780
10100131202233
11395134a92a7
12174a58a1709
139599a594ba
144bbc654cad
152910a04573
hex175048e4b9

100131202233 has 72 divisors (see below), whose sum is σ = 155979794880. Its totient is φ = 61811406720.

The previous prime is 100131202231. The next prime is 100131202243. The reversal of 100131202233 is 332202131001.

100131202233 is a `hidden beast` number, since 100 + 131 + 202 + 233 = 666.

It is not a de Polignac number, because 100131202233 - 21 = 100131202231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25366966 + ... + 25370912.

It is an arithmetic number, because the mean of its divisors is an integer number (2166386040).

Almost surely, 2100131202233 is an apocalyptic number.

It is an amenable number.

100131202233 is a deficient number, since it is larger than the sum of its proper divisors (55848592647).

100131202233 is a wasteful number, since it uses less digits than its factorization.

100131202233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100131202233 its reverse (332202131001), we get a palindrome (432333333234).

The spelling of 100131202233 in words is "one hundred billion, one hundred thirty-one million, two hundred two thousand, two hundred thirty-three".

Divisors: 1 3 9 29 37 71 87 111 213 261 333 639 1073 1369 2059 2627 3219 3947 4107 6177 7881 9657 11841 12321 18531 23643 35523 39701 76183 97199 114463 119103 146039 228549 280237 291597 343389 357309 438117 685647 840711 874791 1030167 1314351 2522133 2818771 4235131 5403443 8126873 8456313 10368769 12705393 16210329 24380619 25368939 31106307 38116179 48630987 73141857 93318921 156699847 300694301 383644453 470099541 902082903 1150933359 1410298623 2706248709 3452800077 11125689137 33377067411 100131202233