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12310002000300 = 22352592812475019
BaseRepresentation
bin1011001100100010010101…
…0010111110000110101100
31121120211021012112101120010
42303020211102332012230
53103141341003002200
642103045320453220
72410240216360524
oct263104522760654
947524235471503
1012310002000300
113a16708231a54
12146991691a210
136b3a9c759264
14307b43244684
15165328735150
hexb32254be1ac

12310002000300 has 144 divisors (see below), whose sum is σ = 36349529731200. Its totient is φ = 3215543385600.

The previous prime is 12310002000253. The next prime is 12310002000301. The reversal of 12310002000300 is 300020001321.

It is a happy number.

It is a super-2 number, since 2×123100020003002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12310002000301) 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, 3736191 + ... + 6211209.

It is an arithmetic number, because the mean of its divisors is an integer number (252427289800).

Almost surely, 212310002000300 is an apocalyptic number.

12310002000300 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 12310002000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174764865600).

12310002000300 is an abundant number, since it is smaller than the sum of its proper divisors (24039527730900).

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

12310002000300 is a wasteful number, since it uses less digits than its factorization.

12310002000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475376 (or 2475369 counting only the distinct ones).

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

Adding to 12310002000300 its reverse (300020001321), we get a palindrome (12610022001621).

The spelling of 12310002000300 in words is "twelve trillion, three hundred ten billion, two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 281 295 300 354 562 590 708 843 885 1124 1180 1405 1475 1686 1770 2810 2950 3372 3540 4215 4425 5620 5900 7025 8430 8850 14050 16579 16860 17700 21075 28100 33158 42150 49737 66316 82895 84300 99474 165790 198948 248685 331580 414475 497370 828950 994740 1243425 1657900 2475019 2486850 4950038 4973700 7425057 9900076 12375095 14850114 24750190 29700228 37125285 49500380 61875475 74250570 123750950 146026121 148501140 185626425 247501900 292052242 371252850 438078363 584104484 695480339 730130605 742505700 876156726 1390960678 1460261210 1752313452 2086441017 2190391815 2781921356 2920522420 3477401695 3650653025 4172882034 4380783630 6954803390 7301306050 8345764068 8761567260 10432205085 10951959075 13909606780 14602612100 17387008475 20864410170 21903918150 34774016950 41033340001 41728820340 43807836300 52161025425 69548033900 82066680002 104322050850 123100020003 164133360004 205166700005 208644101700 246200040006 410333400010 492400080012 615500100015 820666800020 1025833500025 1231000200030 2051667000050 2462000400060 3077500500075 4103334000100 6155001000150 12310002000300