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101101442412 = 223193114304109
BaseRepresentation
bin101111000101000011…
…1011001010101101100
3100122221221012102012010
41132022013121111230
53124023432124122
6114240110441220
710206250036605
oct1361207312554
9318857172163
10101101442412
1139971146093
1217716803210
1396c2a76b09
144c71456dac
15296aca7e0c
hex178a1d956c

101101442412 has 48 divisors (see below), whose sum is σ = 256329651200. Its totient is φ = 30896873280.

The previous prime is 101101442411. The next prime is 101101442413. The reversal of 101101442412 is 214244101101.

It is an interprime number because it is at equal distance from previous prime (101101442411) and next prime (101101442413).

It is not an unprimeable number, because it can be changed into a prime (101101442411) 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 15 ways as a sum of consecutive naturals, for example, 7144987 + ... + 7159122.

Almost surely, 2101101442412 is an apocalyptic number.

101101442412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101442412 is an abundant number, since it is smaller than the sum of its proper divisors (155228208788).

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

101101442412 is a wasteful number, since it uses less digits than its factorization.

101101442412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304166 (or 14304164 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101101442412 its reverse (214244101101), we get a palindrome (315345543513).

It can be divided in two parts, 1011014 and 42412, that added together give a triangular number (1053426 = T1451).

The spelling of 101101442412 in words is "one hundred one billion, one hundred one million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 14304109 28608218 42912327 57216436 85824654 171649308 271778071 443427379 543556142 815334213 886854758 1087112284 1330282137 1630668426 1773709516 2660564274 3261336852 5321128548 8425120201 16850240402 25275360603 33700480804 50550721206 101101442412