Search a number
-
+
100312440111 = 32132940173727
BaseRepresentation
bin101110101101100010…
…1100101110100101111
3100120220221112221111200
41131123011211310233
53120414441040421
6114025523420543
710150556446422
oct1353305456457
9316827487450
10100312440111
11395a6836a74
1217536524753
1395c8474950
144bd87519b9
1529218a4726
hex175b165d2f

100312440111 has 48 divisors (see below), whose sum is σ = 161827061760. Its totient is φ = 59452646400.

The previous prime is 100312440103. The next prime is 100312440113. The reversal of 100312440111 is 111044213001.

100312440111 is a `hidden beast` number, since 100 + 3 + 12 + 440 + 111 = 666.

It is not a de Polignac number, because 100312440111 - 23 = 100312440103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312440113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1323730 + ... + 1397456.

It is an arithmetic number, because the mean of its divisors is an integer number (3371397120).

Almost surely, 2100312440111 is an apocalyptic number.

100312440111 is a deficient number, since it is larger than the sum of its proper divisors (61514621649).

100312440111 is a wasteful number, since it uses less digits than its factorization.

100312440111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74176 (or 74173 counting only the distinct ones).

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

Adding to 100312440111 its reverse (111044213001), we get a palindrome (211356653112).

The spelling of 100312440111 in words is "one hundred billion, three hundred twelve million, four hundred forty thousand, one hundred eleven".

Divisors: 1 3 9 13 29 39 87 117 261 377 401 1131 1203 3393 3609 5213 11629 15639 34887 46917 73727 104661 151177 221181 453531 663543 958451 1360593 2138083 2875353 6414249 8626059 19242747 27795079 29564527 83385237 88693581 250155711 266080743 384338851 857371283 1153016553 2572113849 3459049659 7716341547 11145826679 33437480037 100312440111