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101022232300 = 225211180150993
BaseRepresentation
bin101111000010101100…
…1001110111011101100
3100122202102011010100021
41132011121032323230
53123343142413200
6114224201011524
710204265543413
oct1360531167354
9318672133307
10101022232300
1139930464390
12176b4183ba4
1396ac532122
144c64b1847a
152963d5d41a
hex178564eeec

101022232300 has 72 divisors (see below), whose sum is σ = 239284653552. Its totient is φ = 36714240000.

The previous prime is 101022232261. The next prime is 101022232321. The reversal of 101022232300 is 3232220101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1955604 + ... + 2006596.

It is an arithmetic number, because the mean of its divisors is an integer number (3323397966).

Almost surely, 2101022232300 is an apocalyptic number.

101022232300 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 101022232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119642326776).

101022232300 is an abundant number, since it is smaller than the sum of its proper divisors (138262421252).

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

101022232300 is a wasteful number, since it uses less digits than its factorization.

101022232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52819 (or 52812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101022232300 its reverse (3232220101), we get a palindrome (104254452401).

The spelling of 101022232300 in words is "one hundred one billion, twenty-two million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1801 3602 7204 9005 18010 19811 36020 39622 45025 50993 79244 90050 99055 101986 180100 198110 203972 254965 396220 495275 509930 560923 990550 1019860 1121846 1274825 1981100 2243692 2549650 2804615 5099300 5609230 11218460 14023075 28046150 56092300 91838393 183676786 367353572 459191965 918383930 1010222323 1836767860 2020444646 2295959825 4040889292 4591919650 5051111615 9183839300 10102223230 20204446460 25255558075 50511116150 101022232300