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2120101320300 = 2235241283609067
BaseRepresentation
bin11110110110011111111…
…000101101011001101100
321111200100111200001210020
4132312133320231121230
5234213431414222200
64301543333042140
7306113041611645
oct36663770553154
97450314601706
102120101320300
11748147a19397
122a2a81786350
13124c03735182
147488344c6cc
153a236ce8ea0
hex1ed9fe2d66c

2120101320300 has 144 divisors (see below), whose sum is σ = 6305987974272. Its totient is φ = 549621158400.

The previous prime is 2120101320257. The next prime is 2120101320343. The reversal of 2120101320300 is 30231010212.

It is an interprime number because it is at equal distance from previous prime (2120101320257) and next prime (2120101320343).

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 2120101320300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3176367 + ... + 3785433.

Almost surely, 22120101320300 is an apocalyptic number.

2120101320300 is a gapful number since it is divisible by the number (20) 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 2120101320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152993987136).

2120101320300 is an abundant number, since it is smaller than the sum of its proper divisors (4185886653972).

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

2120101320300 is a wasteful number, since it uses less digits than its factorization.

2120101320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609408 (or 609401 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2120101320300 its reverse (30231010212), we get a palindrome (2150332330512).

The spelling of 2120101320300 in words is "two trillion, one hundred twenty billion, one hundred one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 283 300 410 492 566 615 820 849 1025 1132 1230 1415 1698 2050 2460 2830 3075 3396 4100 4245 5660 6150 7075 8490 11603 12300 14150 16980 21225 23206 28300 34809 42450 46412 58015 69618 84900 116030 139236 174045 232060 290075 348090 580150 609067 696180 870225 1160300 1218134 1740450 1827201 2436268 3045335 3480900 3654402 6090670 7308804 9136005 12181340 15226675 18272010 24971747 30453350 36544020 45680025 49943494 60906700 74915241 91360050 99886988 124858735 149830482 172365961 182720100 249717470 299660964 344731922 374576205 499434940 517097883 624293675 689463844 749152410 861829805 1034195766 1248587350 1498304820 1723659610 1872881025 2068391532 2497174700 2585489415 3447319220 3745762050 4309149025 5170978830 7067004401 7491524100 8618298050 10341957660 12927447075 14134008802 17236596100 21201013203 25854894150 28268017604 35335022005 42402026406 51709788300 70670044010 84804052812 106005066015 141340088020 176675110025 212010132030 353350220050 424020264060 530025330075 706700440100 1060050660150 2120101320300