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313230122112 = 2733753415963
BaseRepresentation
bin1001000111011011111…
…10000101110010000000
31002221111112201212101210
410203231332011302000
520112443402401422
6355521304330120
731426064052045
oct4435576056200
91087445655353
10313230122112
11110927268916
1250858173940
13236caaa332b
14112362911cc
158233e1a10c
hex48edf85c80

313230122112 has 128 divisors (see below), whose sum is σ = 870629290560. Its totient is φ = 99671150592.

The previous prime is 313230122087. The next prime is 313230122129. The reversal of 313230122112 is 211221032313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3132301221122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545043 + ... + 961005.

Almost surely, 2313230122112 is an apocalyptic number.

313230122112 is a gapful number since it is divisible by the number (32) 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 313230122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435314645280).

313230122112 is an abundant number, since it is smaller than the sum of its proper divisors (557399168448).

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

313230122112 is a wasteful number, since it uses less digits than its factorization.

313230122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416070 (or 416058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313230122112 its reverse (211221032313), we get a palindrome (524451154425).

The spelling of 313230122112 in words is "three hundred thirteen billion, two hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 128 148 159 192 212 222 296 318 384 424 444 592 636 848 888 1184 1272 1696 1776 1961 2368 2544 3392 3552 3922 4736 5088 5883 6784 7104 7844 10176 11766 14208 15688 20352 23532 31376 47064 62752 94128 125504 188256 251008 376512 415963 753024 831926 1247889 1663852 2495778 3327704 4991556 6655408 9983112 13310816 15390631 19966224 22046039 26621632 30781262 39932448 44092078 46171893 53243264 61562524 66138117 79864896 88184156 92343786 123125048 132276234 159729792 176368312 184687572 246250096 264552468 352736624 369375144 492500192 529104936 705473248 738750288 815703443 985000384 1058209872 1410946496 1477500576 1631406886 1970000768 2116419744 2447110329 2821892992 2955001152 3262813772 4232839488 4894220658 5910002304 6525627544 8465678976 9788441316 13051255088 19576882632 26102510176 39153765264 52205020352 78307530528 104410040704 156615061056 313230122112