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1002103002300 = 2235231436324697
BaseRepresentation
bin11101001010100011111…
…11100101010010111100
310112210121021121000022010
432211101333211102330
5112404301332033200
62044205413051220
7132254021656041
oct16452177452274
93483537530263
101002103002300
11356a98024724
1214226a326b10
1373661b980ba
14367058751c8
151b1011c3150
hexe951fe54bc

1002103002300 has 144 divisors (see below), whose sum is σ = 2993754831872. Its totient is φ = 258537484800.

The previous prime is 1002103002287. The next prime is 1002103002371. The reversal of 1002103002300 is 32003012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40563552 + ... + 40588248.

Almost surely, 21002103002300 is an apocalyptic number.

1002103002300 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 1002103002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496877415936).

1002103002300 is an abundant number, since it is smaller than the sum of its proper divisors (1991651829572).

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

1002103002300 is a wasteful number, since it uses less digits than its factorization.

1002103002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29108 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1002103002300 its reverse (32003012001), we get a palindrome (1034106014301).

The spelling of 1002103002300 in words is "one trillion, two billion, one hundred three million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4363 4650 8726 9300 13089 17452 21815 24697 26178 43630 49394 52356 65445 74091 87260 98788 109075 123485 130890 135253 148182 218150 246970 261780 270506 296364 327225 370455 405759 436300 493940 541012 617425 654450 676265 740910 765607 811518 1234850 1308900 1352530 1481820 1531214 1623036 1852275 2028795 2296821 2469700 2705060 3062428 3381325 3704550 3828035 4057590 4593642 6762650 7409100 7656070 8115180 9187284 10143975 11484105 13525300 15312140 19140175 20287950 22968210 38280350 40575900 45936420 57420525 76560700 107753011 114841050 215506022 229682100 323259033 431012044 538765055 646518066 1077530110 1293036132 1616295165 2155060220 2693825275 3232590330 3340343341 5387650550 6465180660 6680686682 8081475825 10021030023 10775301100 13361373364 16162951650 16701716705 20042060046 32325903300 33403433410 40084120092 50105150115 66806866820 83508583525 100210300230 167017167050 200420600460 250525750575 334034334100 501051501150 1002103002300