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310211212120 = 235171313482389
BaseRepresentation
bin1001000001110100000…
…01110111001101011000
31002122201011010100102121
410200322001313031120
520040303032241440
6354301542511024
731261215540145
oct4407201671530
91078634110377
10310211212120
1110a618162087
1250155135474
13233394ca864
141102b3653cc
158108d8d34a
hex483a077358

310211212120 has 64 divisors (see below), whose sum is σ = 744674277600. Its totient is φ = 115893872640.

The previous prime is 310211212117. The next prime is 310211212133. The reversal of 310211212120 is 21212112013.

It is a super-2 number, since 2×3102112121202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310211212094 and 310211212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1652115 + ... + 1830274.

Almost surely, 2310211212120 is an apocalyptic number.

It is an amenable number.

310211212120 is an abundant number, since it is smaller than the sum of its proper divisors (434463065480).

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

310211212120 is a wasteful number, since it uses less digits than its factorization.

310211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482548 (or 3482544 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 310211212120 its reverse (21212112013), we get a palindrome (331423324133).

The spelling of 310211212120 in words is "three hundred ten billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 340 524 655 680 1048 1310 2227 2620 4454 5240 8908 11135 17816 22270 44540 89080 3482389 6964778 13929556 17411945 27859112 34823890 59200613 69647780 118401226 139295560 236802452 296003065 456192959 473604904 592006130 912385918 1184012260 1824771836 2280964795 2368024520 3649543672 4561929590 7755280303 9123859180 15510560606 18247718360 31021121212 38776401515 62042242424 77552803030 155105606060 310211212120