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104001212300 = 225229672412221
BaseRepresentation
bin110000011011011110…
…1001000111110001100
3100221110000121222122212
41200312331020332030
53200443302243200
6115435534525552
710341150501326
oct1406675107614
9327400558585
10104001212300
1140119a78127
12181a59668b8
139a65766b9b
14506860c616
152a8a64e035
hex1836f48f8c

104001212300 has 144 divisors (see below), whose sum is σ = 238039660320. Its totient is φ = 39384576000.

The previous prime is 104001212267. The next prime is 104001212309. The reversal of 104001212300 is 3212100401.

It is not an unprimeable number, because it can be changed into a prime (104001212309) by changing a digit.

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, 46825190 + ... + 46827410.

Almost surely, 2104001212300 is an apocalyptic number.

104001212300 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 104001212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119019830160).

104001212300 is an abundant number, since it is smaller than the sum of its proper divisors (134038448020).

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

104001212300 is a wasteful number, since it uses less digits than its factorization.

104001212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 104001212300 its reverse (3212100401), we get a palindrome (107213312701).

The spelling of 104001212300 in words is "one hundred four billion, one million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 67 100 116 134 145 241 268 290 335 482 580 670 725 964 1205 1340 1450 1675 1943 2221 2410 2900 3350 3886 4442 4820 6025 6700 6989 7772 8884 9715 11105 12050 13978 16147 19430 22210 24100 27956 32294 34945 38860 44420 48575 55525 64409 64588 69890 80735 97150 111050 128818 139780 148807 161470 174725 194300 222100 257636 297614 322045 322940 349450 403675 468263 535261 595228 644090 698900 744035 807350 936526 1070522 1288180 1488070 1610225 1614700 1873052 2141044 2341315 2676305 2976140 3220450 3720175 4315403 4682630 5352610 6440900 7440350 8630806 9365260 10705220 11706575 13381525 14880700 15522569 17261612 21577015 23413150 26763050 31045138 35862487 43154030 46826300 53526100 62090276 71724974 77612845 86308060 107885075 143449948 155225690 179312435 215770150 310451380 358624870 388064225 431540300 717249740 776128450 896562175 1040012123 1552256900 1793124350 2080024246 3586248700 4160048492 5200060615 10400121230 20800242460 26000303075 52000606150 104001212300