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1013321323300 = 22521113103687977
BaseRepresentation
bin11101011111011101010…
…10000101001100100100
310120212120002211202122111
432233232222011030210
5113100240224321200
62053302520410404
7133132022063206
oct16575652051444
93525502752574
101013321323300
113608245192a0
1214447b316a04
137472c0c2b70
143708b736776
151b55aeda0ba
hexebeea85324

1013321323300 has 144 divisors (see below), whose sum is σ = 2608416300672. Its totient is φ = 336833049600.

The previous prime is 1013321323279. The next prime is 1013321323337. The reversal of 1013321323300 is 33231233101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128912 + ... + 1816888.

It is an arithmetic number, because the mean of its divisors is an integer number (18114002088).

Almost surely, 21013321323300 is an apocalyptic number.

1013321323300 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 1013321323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304208150336).

1013321323300 is an abundant number, since it is smaller than the sum of its proper divisors (1595094977372).

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

1013321323300 is a wasteful number, since it uses less digits than its factorization.

1013321323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688118 (or 688111 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1013321323300 its reverse (33231233101), we get a palindrome (1046552556401).

The spelling of 1013321323300 in words is "one trillion, thirteen billion, three hundred twenty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 103 110 130 143 206 220 260 275 286 325 412 515 550 572 650 715 1030 1100 1133 1300 1339 1430 2060 2266 2575 2678 2860 3575 4532 5150 5356 5665 6695 7150 10300 11330 13390 14300 14729 22660 26780 28325 29458 33475 56650 58916 66950 73645 113300 133900 147290 294580 368225 687977 736450 1375954 1472900 2751908 3439885 6879770 7567747 8943701 13759540 15135494 17199425 17887402 30270988 34398850 35774804 37838735 44718505 68797700 70861631 75677470 89437010 98380711 141723262 151354940 178874020 189193675 196761422 223592525 283446524 354308155 378387350 393522844 447185050 491903555 708616310 756774700 779477941 894370100 921201203 983807110 1417232620 1558955882 1771540775 1842402406 1967614220 2459517775 3117911764 3543081550 3684804812 3897389705 4606006015 4919035550 7086163100 7794779410 9212012030 9838071100 10133213233 15589558820 18424024060 19486948525 20266426466 23030030075 38973897050 40532852932 46060060150 50666066165 77947794100 92120120300 101332132330 202664264660 253330330825 506660661650 1013321323300