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101021321300 = 22523144373561
BaseRepresentation
bin101111000010101010…
…1110000100001010100
3100122202100102211200112
41132011111300201110
53123342424240200
6114224125302152
710204255030424
oct1360525604124
9318670384615
10101021321300
113992a9a1999
12176b3a04958
1396ac2a3583
144c6495c484
152963c2d535
hex1785570854

101021321300 has 72 divisors (see below), whose sum is σ = 226801650432. Its totient is φ = 39016224000.

The previous prime is 101021321249. The next prime is 101021321309. The reversal of 101021321300 is 3123120101.

101021321300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021321309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336520 + ... + 1410080.

Almost surely, 2101021321300 is an apocalyptic number.

101021321300 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 101021321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400825216).

101021321300 is an abundant number, since it is smaller than the sum of its proper divisors (125780329132).

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

101021321300 is a wasteful number, since it uses less digits than its factorization.

101021321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74049 (or 74042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101021321300 its reverse (3123120101), we get a palindrome (104144441401).

The spelling of 101021321300 in words is "one hundred one billion, twenty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 443 620 775 886 1550 1772 2215 3100 4430 8860 11075 13733 22150 27466 44300 54932 68665 73561 137330 147122 274660 294244 343325 367805 686650 735610 1373300 1471220 1839025 2280391 3678050 4560782 7356100 9121564 11401955 22803910 32587523 45607820 57009775 65175046 114019550 130350092 162937615 228039100 325875230 651750460 814688075 1010213213 1629376150 2020426426 3258752300 4040852852 5051066065 10102132130 20204264260 25255330325 50510660650 101021321300