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2310002030100 = 2235237741128081
BaseRepresentation
bin100001100111010110110…
…110011011011000010100
322011211112000100122121110
4201213112312123120110
5300321341004430400
64525111132215020
7325615001166132
oct41472666333024
98154460318543
102310002030100
11810736a19366
1231383b00a470
13139aa861148b
147db3a122752
154014d7eae50
hex219d6d9b614

2310002030100 has 144 divisors (see below), whose sum is σ = 6865414571456. Its totient is φ = 599249664000.

The previous prime is 2310002030071. The next prime is 2310002030111. The reversal of 2310002030100 is 10302000132.

It is a happy number.

2310002030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23100020301002 (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82248060 + ... + 82276140.

Almost surely, 22310002030100 is an apocalyptic number.

2310002030100 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 2310002030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432707285728).

2310002030100 is an abundant number, since it is smaller than the sum of its proper divisors (4555412541356).

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

2310002030100 is a wasteful number, since it uses less digits than its factorization.

2310002030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35546 (or 35539 counting only the distinct ones).

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

Adding to 2310002030100 its reverse (10302000132), we get a palindrome (2320304030232).

The spelling of 2310002030100 in words is "two trillion, three hundred ten billion, two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 7411 11100 14822 22233 28081 29644 37055 44466 56162 74110 84243 88932 111165 112324 140405 148220 168486 185275 222330 274207 280810 336972 370550 421215 444660 548414 555825 561620 702025 741100 822621 842430 1038997 1096828 1111650 1371035 1404050 1645242 1684860 2077994 2106075 2223300 2742070 2808100 3116991 3290484 4113105 4155988 4212150 5194985 5484140 6233982 6855175 8226210 8424300 10389970 12467964 13710350 15584955 16452420 20565525 20779940 25974925 27420700 31169910 41131050 51949850 62339820 77924775 82262100 103899700 155849550 208108291 311699100 416216582 624324873 832433164 1040541455 1248649746 2081082910 2497299492 3121624365 4162165820 5202707275 6243248730 7700006767 10405414550 12486497460 15400013534 15608121825 20810829100 23100020301 30800027068 31216243650 38500033835 46200040602 62432487300 77000067670 92400081204 115500101505 154000135340 192500169175 231000203010 385000338350 462000406020 577500507525 770000676700 1155001015050 2310002030100