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212431014020 = 225294353160711
BaseRepresentation
bin1100010111010111100…
…0000000100010000100
3202022022200102121221002
43011311320000202010
511440024314422040
6241331153512432
721230144553251
oct3056570004204
9668280377832
10212431014020
1182100851005
1235206872718
1317055863984
14a3d3058428
1557d4982a15
hex3175e00884

212431014020 has 96 divisors (see below), whose sum is σ = 481133157120. Its totient is φ = 78621903360.

The previous prime is 212431014007. The next prime is 212431014077. The reversal of 212431014020 is 20410134212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212431013983 and 212431014001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241465 + ... + 1402175.

It is an arithmetic number, because the mean of its divisors is an integer number (5011803720).

Almost surely, 2212431014020 is an apocalyptic number.

212431014020 is a gapful number since it is divisible by the number (20) 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 212431014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240566578560).

212431014020 is an abundant number, since it is smaller than the sum of its proper divisors (268702143100).

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

212431014020 is a wasteful number, since it uses less digits than its factorization.

212431014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160845 (or 160843 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212431014020 its reverse (20410134212), we get a palindrome (232841148232).

The spelling of 212431014020 in words is "two hundred twelve billion, four hundred thirty-one million, fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 53 58 86 106 116 145 172 212 215 265 290 430 530 580 860 1060 1247 1537 2279 2494 3074 4558 4988 6148 6235 7685 9116 11395 12470 15370 22790 24940 30740 45580 66091 132182 160711 264364 321422 330455 642844 660910 803555 1321820 1607110 3214220 4660619 6910573 8517683 9321238 13821146 17035366 18642476 23303095 27642292 34070732 34552865 42588415 46606190 69105730 85176830 93212380 138211460 170353660 200406617 247012807 366260369 400813234 494025614 732520738 801626468 988051228 1002033085 1235064035 1465041476 1831301845 2004066170 2470128070 3662603690 4008132340 4940256140 7325207380 10621550701 21243101402 42486202804 53107753505 106215507010 212431014020