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101032233120 = 2534571385667
BaseRepresentation
bin101111000010111111…
…1011000100010100000
3100122210002222012220000
41132011333120202200
53123403222424440
6114225155220000
710204446545340
oct1360577304240
9318702865800
10101032233120
1139936075125
12176b75a7600
1396b1624180
144c6619cd20
152964b86730
hex1785fd88a0

101032233120 has 480 divisors, whose sum is σ = 438847694208. Its totient is φ = 21316442112.

The previous prime is 101032233119. The next prime is 101032233173. The reversal of 101032233120 is 21332230101.

101032233120 is a `hidden beast` number, since 1 + 0 + 10 + 322 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101032233093 and 101032233102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1136527 + ... + 1222193.

Almost surely, 2101032233120 is an apocalyptic number.

101032233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101032233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219423847104).

101032233120 is an abundant number, since it is smaller than the sum of its proper divisors (337815461088).

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

101032233120 is a wasteful number, since it uses less digits than its factorization.

101032233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85714 (or 85697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101032233120 its reverse (21332230101), we get a palindrome (122364463221).

The spelling of 101032233120 in words is "one hundred one billion, thirty-two million, two hundred thirty-three thousand, one hundred twenty".