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101123232132 = 223131642739461
BaseRepresentation
bin101111000101101101…
…0100001000110000100
3100200000110012110001210
41132023122201012010
53124100021412012
6114242205451420
710206633201516
oct1361332410604
9320013173053
10101123232132
113998247901a
1217721b70b70
1396c7435a40
144c742c9bb6
15296cb5e23c
hex178b6a1184

101123232132 has 48 divisors (see below), whose sum is σ = 254126440512. Its totient is φ = 31112158080.

The previous prime is 101123232107. The next prime is 101123232137. The reversal of 101123232132 is 231232321101.

It is a junction number, because it is equal to n+sod(n) for n = 101123232099 and 101123232108.

It is not an unprimeable number, because it can be changed into a prime (101123232137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2542882 + ... + 2582342.

It is an arithmetic number, because the mean of its divisors is an integer number (5294300844).

Almost surely, 2101123232132 is an apocalyptic number.

101123232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101123232132 is an abundant number, since it is smaller than the sum of its proper divisors (153003208380).

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

101123232132 is a wasteful number, since it uses less digits than its factorization.

101123232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55908 (or 55906 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101123232132 its reverse (231232321101), we get a palindrome (332355553233).

The spelling of 101123232132 in words is "one hundred one billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 16427 32854 39461 49281 65708 78922 98562 118383 157844 197124 213551 236766 427102 473532 512993 640653 854204 1025986 1281306 1538979 2051972 2562612 3077958 6155916 648225847 1296451694 1944677541 2592903388 3889355082 7778710164 8426936011 16853872022 25280808033 33707744044 50561616066 101123232132