Search a number
-
+
100132374969 = 321124322232
BaseRepresentation
bin101110101000001011…
…0101100100110111001
3100120110101201200120100
41131100112230212321
53120032341444334
6114000012150013
710143242100234
oct1352026544671
9316411650510
10100132374969
113951412a400
12174a6168309
13959a07a223
144bbc87c41b
152910b86c99
hex17505ac9b9

100132374969 has 81 divisors (see below), whose sum is σ = 163496019141. Its totient is φ = 59009171760.

The previous prime is 100132374967. The next prime is 100132374971. The reversal of 100132374969 is 969473231001.

The square root of 100132374969 is 316437.

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

It is an interprime number because it is at equal distance from previous prime (100132374967) and next prime (100132374971).

It is not a de Polignac number, because 100132374969 - 21 = 100132374967 is a prime.

It is a super-2 number, since 2×1001323749692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100132374967) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 449023992 + ... + 449024214.

Almost surely, 2100132374969 is an apocalyptic number.

100132374969 is the 316437-th square number.

100132374969 is the 158219-th centered octagonal number.

It is an amenable number.

100132374969 is a deficient number, since it is larger than the sum of its proper divisors (63363644172).

100132374969 is an equidigital number, since it uses as much as digits as its factorization.

100132374969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

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

The spelling of 100132374969 in words is "one hundred billion, one hundred thirty-two million, three hundred seventy-four thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 43 99 121 129 223 363 387 473 669 1089 1419 1849 2007 2453 4257 5203 5547 7359 9589 15609 16641 20339 22077 26983 28767 46827 49729 61017 80949 86301 105479 149187 183051 223729 242847 316437 412327 447561 547019 671187 949311 1160269 1236981 1641057 2013561 2138347 3480807 3710943 4535597 4923171 6017209 6415041 10442421 13606791 18051627 19245123 23521817 40820373 49891567 54154881 70565451 91948921 149674701 211696353 258739987 275846763 449024103 776219961 827540289 1011438131 2328659883 3034314393 9102943179 11125819441 33377458323 100132374969