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104100024300 = 223523119956249
BaseRepresentation
bin110000011110011011…
…0000100111111101100
3100221200220120011020120
41200330312010333230
53201144101234200
6115453424444540
710343460415056
oct1407466047754
9327626504216
10104100024300
114016a828038
1218212a79750
139a80082a1c
1450777b08d6
152a9416b9a0
hex183cd84fec

104100024300 has 144 divisors (see below), whose sum is σ = 312480000000. Its totient is φ = 26729049600.

The previous prime is 104100024257. The next prime is 104100024307. The reversal of 104100024300 is 3420001401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104100024300.

It is not an unprimeable number, because it can be changed into a prime (104100024307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822576 + ... + 1878824.

It is an arithmetic number, because the mean of its divisors is an integer number (2170000000).

Almost surely, 2104100024300 is an apocalyptic number.

104100024300 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 104100024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000000).

104100024300 is an abundant number, since it is smaller than the sum of its proper divisors (208379975700).

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

104100024300 is a wasteful number, since it uses less digits than its factorization.

104100024300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56496 (or 56489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 104100024300 its reverse (3420001401), we get a palindrome (107520025701).

The spelling of 104100024300 in words is "one hundred four billion, one hundred million, twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 199 300 310 372 398 465 597 620 775 796 930 995 1194 1550 1860 1990 2325 2388 2985 3100 3980 4650 4975 5970 6169 9300 9950 11940 12338 14925 18507 19900 24676 29850 30845 37014 56249 59700 61690 74028 92535 112498 123380 154225 168747 185070 224996 281245 308450 337494 370140 462675 562490 616900 674988 843735 925350 1124980 1406225 1687470 1743719 1850700 2812450 3374940 3487438 4218675 5231157 5624900 6974876 8437350 8718595 10462314 11193551 16874700 17437190 20924628 22387102 26155785 33580653 34874380 43592975 44774204 52311570 55967755 67161306 87185950 104623140 111935510 130778925 134322612 167903265 174371900 223871020 261557850 279838775 335806530 347000081 523115700 559677550 671613060 694000162 839516325 1041000243 1119355100 1388000324 1679032650 1735000405 2082000486 3358065300 3470000810 4164000972 5205001215 6940001620 8675002025 10410002430 17350004050 20820004860 26025006075 34700008100 52050012150 104100024300