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310120144312 = 231161509113501
BaseRepresentation
bin1001000001101001001…
…10011101110110111000
31002122110210202121212211
410200310212131312320
520040111224104222
6354244530544504
731256031506266
oct4406446356670
91078423677784
10310120144312
1110a580811530
125012a738134
1323323693894
141101d21b436
158100da0277
hex483499ddb8

310120144312 has 64 divisors (see below), whose sum is σ = 646007983200. Its totient is φ = 138379200000.

The previous prime is 310120144309. The next prime is 310120144331. The reversal of 310120144312 is 213441021013.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2675562 + ... + 2789062.

Almost surely, 2310120144312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310120144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323003991600).

310120144312 is an abundant number, since it is smaller than the sum of its proper divisors (335887838888).

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

310120144312 is a wasteful number, since it uses less digits than its factorization.

310120144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114088 (or 114084 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 310120144312 its reverse (213441021013), we get a palindrome (523561165325).

The spelling of 310120144312 in words is "three hundred ten billion, one hundred twenty million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 509 671 1018 1342 2036 2684 4072 5368 5599 11198 22396 31049 44792 62098 113501 124196 227002 248392 341539 454004 683078 908008 1248511 1366156 2497022 2732312 4994044 6923561 9988088 13847122 27694244 55388488 57772009 76159171 115544018 152318342 231088036 304636684 462176072 609273368 635492099 1270984198 2541968396 3524092549 5083936792 7048185098 14096370196 28192740392 38765018039 77530036078 155060072156 310120144312