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101342101432 = 231113797111149
BaseRepresentation
bin101111001100001110…
…1011011111110111000
3100200120201001011022011
41132120131123332320
53130022034221212
6114320024535304
710215231435445
oct1363035337670
9320521034264
10101342101432
1139a84a79840
1217783321534
1397308988c0
144c953c09cc
152981e944a7
hex179875bfb8

101342101432 has 64 divisors (see below), whose sum is σ = 223518204000. Its totient is φ = 42467427840.

The previous prime is 101342101423. The next prime is 101342101439. The reversal of 101342101432 is 234101243101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342101439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856194 + ... + 967342.

Almost surely, 2101342101432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101342101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759102000).

101342101432 is an abundant number, since it is smaller than the sum of its proper divisors (122176102568).

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

101342101432 is a wasteful number, since it uses less digits than its factorization.

101342101432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111976 (or 111972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101342101432 its reverse (234101243101), we get a palindrome (335443344533).

The spelling of 101342101432 in words is "one hundred one billion, three hundred forty-two million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 797 1144 1594 3188 6376 8767 10361 17534 20722 35068 41444 70136 82888 111149 113971 222298 227942 444596 455884 889192 911768 1222639 1444937 2445278 2889874 4890556 5779748 9781112 11559496 15894307 31788614 63577228 88585753 127154456 177171506 354343012 708686024 974443283 1151614789 1948886566 2303229578 3897773132 4606459156 7795546264 9212918312 12667762679 25335525358 50671050716 101342101432