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1013221430300 = 22521921124110487
BaseRepresentation
bin11101011111010001011…
…01000001010000011100
310120212022010212200012202
432233220231001100130
5113100034141232200
62053244551351032
7133126400025032
oct16575055012034
93525263780182
101013221430300
113607830a01a2
12144451982478
13747144b8c91
143707c372552
151b5523571d5
hexebe8b4141c

1013221430300 has 144 divisors (see below), whose sum is σ = 2335251367680. Its totient is φ = 380515968000.

The previous prime is 1013221430293. The next prime is 1013221430369. The reversal of 1013221430300 is 30341223101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96611657 + ... + 96622143.

Almost surely, 21013221430300 is an apocalyptic number.

1013221430300 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 1013221430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167625683840).

1013221430300 is an abundant number, since it is smaller than the sum of its proper divisors (1322029937380).

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

1013221430300 is a wasteful number, since it uses less digits than its factorization.

1013221430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013221430300 its reverse (30341223101), we get a palindrome (1043562653401).

The spelling of 1013221430300 in words is "one trillion, thirteen billion, two hundred twenty-one million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 211 241 380 422 475 482 844 950 964 1055 1205 1900 2110 2410 4009 4220 4579 4820 5275 6025 8018 9158 10487 10550 12050 16036 18316 20045 20974 21100 22895 24100 40090 41948 45790 50851 52435 80180 91580 100225 101702 104870 114475 199253 200450 203404 209740 228950 254255 262175 398506 400900 457900 508510 524350 797012 966169 996265 1017020 1048700 1271275 1932338 1992530 2212757 2527367 2542550 3864676 3985060 4425514 4830845 4981325 5054734 5085100 8851028 9661690 9962650 10109468 11063785 12636835 19323380 19925300 22127570 24154225 25273670 42042383 44255140 48019973 48308450 50547340 55318925 63184175 84084766 96039946 96616900 110637850 126368350 168169532 192079892 210211915 221275700 240099865 252736700 420423830 480199730 533274437 840847660 960399460 1051059575 1066548874 1200499325 2102119150 2133097748 2400998650 2666372185 4204238300 4801997300 5332744370 10132214303 10665488740 13331860925 20264428606 26663721850 40528857212 50661071515 53327443700 101322143030 202644286060 253305357575 506610715150 1013221430300