Search a number
-
+
132161640100231 = 71719415924164009
BaseRepresentation
bin11110000011001101000111…
…100111000111000110000111
3122022221112021221020000021211
4132003031013213013012013
5114310314014331201411
61145030115211152251
736560235434326210
oct3603150747070607
9568845257200254
10132161640100231
1139124489431805
12129a5989a45687
135898a34abc281
14248c92c2d4407
151042c62ed4221
hex7833479c7187

132161640100231 has 64 divisors (see below), whose sum is σ = 175372718976000. Its totient is φ = 96872541511680.

The previous prime is 132161640100207. The next prime is 132161640100261. The reversal of 132161640100231 is 132001046161231.

It is a cyclic number.

It is not a de Polignac number, because 132161640100231 - 231 = 132159492616583 is a prime.

It is a super-2 number, since 2×1321616401002312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132161640100193 and 132161640100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161640100261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6612646 + ... + 17551363.

It is an arithmetic number, because the mean of its divisors is an integer number (2740198734000).

Almost surely, 2132161640100231 is an apocalyptic number.

132161640100231 is a deficient number, since it is larger than the sum of its proper divisors (43211078875769).

132161640100231 is a wasteful number, since it uses less digits than its factorization.

132161640100231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24164152.

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 132161640100231 its reverse (132001046161231), we get a palindrome (264162686261462).

The spelling of 132161640100231 in words is "one hundred thirty-two trillion, one hundred sixty-one billion, six hundred forty million, one hundred thousand, two hundred thirty-one".

Divisors: 1 7 17 19 41 59 119 133 287 323 413 697 779 1003 1121 2261 2419 4879 5453 7021 7847 13243 16933 19057 41123 45961 92701 133399 287861 321727 781337 5469359 24164009 169148063 410788153 459116171 990724369 1425676531 2875517071 3213813197 6935070583 7804974907 9979735717 16842314273 18823763011 24236501027 27087854089 54634824349 58452737771 117896199911 131766341077 169655507189 189614978623 320003971187 409169164397 460493519513 993696542107 1110602017649 2240027798309 3223454636591 6955875794749 7774214123543 18880234300033 132161640100231