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312011102020 = 2254315716314177
BaseRepresentation
bin1001000101001010100…
…11111001011101000100
31002211100120221020012111
410202211103321131010
520102444320231040
6355200320430404
731353632415442
oct4424523713504
91084316836174
10312011102020
11110361150aa2
1250577a78404
132356537c777
141115c40db92
1581b1dc3dea
hex48a54f9744

312011102020 has 96 divisors (see below), whose sum is σ = 678918860928. Its totient is φ = 120373972992.

The previous prime is 312011102009. The next prime is 312011102021. The reversal of 312011102020 is 20201110213.

It is not an unprimeable number, because it can be changed into a prime (312011102021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22001172 + ... + 22015348.

It is an arithmetic number, because the mean of its divisors is an integer number (7072071468).

Almost surely, 2312011102020 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 312011102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339459430464).

312011102020 is an abundant number, since it is smaller than the sum of its proper divisors (366907758908).

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

312011102020 is a wasteful number, since it uses less digits than its factorization.

312011102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14549 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 312011102020 its reverse (20201110213), we get a palindrome (332212212233).

The spelling of 312011102020 in words is "three hundred twelve billion, eleven million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 157 163 172 215 314 326 430 628 652 785 815 860 1570 1630 3140 3260 6751 7009 13502 14018 14177 25591 27004 28036 28354 33755 35045 51182 56708 67510 70090 70885 102364 127955 135020 140180 141770 255910 283540 511820 609611 1100413 1219222 2200826 2225789 2310851 2438444 3048055 4401652 4451578 4621702 5502065 6096110 8903156 9243404 11004130 11128945 11554255 12192220 22008260 22257890 23108510 44515780 46217020 95708927 99366593 191417854 198733186 362803607 382835708 397466372 478544635 496832965 725607214 957089270 993665930 1451214428 1814018035 1914178540 1987331860 3628036070 7256072140 15600555101 31201110202 62402220404 78002775505 156005551010 312011102020