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10101020310312 = 2334110847946369
BaseRepresentation
bin1001001011111101001110…
…1110100011101100101000
31022202122111110202201200220
42102333103232203230220
52310443342144412222
633252202240530040
72061526461664401
oct222772356435450
938678443681626
1010101020310312
1132449006a5388
12117178b320920
135836a3166879
1426cc6b8a69a8
15127b3da21b5c
hex92fd3ba3b28

10101020310312 has 64 divisors (see below), whose sum is σ = 25870878835200. Its totient is φ = 3284578344960.

The previous prime is 10101020310263. The next prime is 10101020310317. The reversal of 10101020310312 is 21301302010101.

It is a happy number.

It is a super-2 number, since 2×101010203103122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101020310291 and 10101020310300.

It is not an unprimeable number, because it can be changed into a prime (10101020310317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10200264 + ... + 11146632.

It is an arithmetic number, because the mean of its divisors is an integer number (404232481800).

Almost surely, 210101020310312 is an apocalyptic number.

10101020310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101020310312 is an abundant number, since it is smaller than the sum of its proper divisors (15769858524888).

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

10101020310312 is a wasteful number, since it uses less digits than its factorization.

10101020310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957266 (or 957262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101020310312 its reverse (21301302010101), we get a palindrome (31402322320413).

The spelling of 10101020310312 in words is "ten trillion, one hundred one billion, twenty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 10847 21694 32541 43388 65082 86776 130164 260328 444727 889454 946369 1334181 1778908 1892738 2668362 2839107 3557816 3785476 5336724 5678214 7570952 10673448 11356428 22712856 38801129 77602258 116403387 155204516 232806774 310409032 465613548 931227096 10265264543 20530529086 30795793629 41061058172 61591587258 82122116344 123183174516 246366349032 420875846263 841751692526 1262627538789 1683503385052 2525255077578 3367006770104 5050510155156 10101020310312