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10214312020 = 225114310710091
BaseRepresentation
bin10011000001101001…
…00000100001010100
3222100212000210221121
421200310200201110
5131404330441040
64405320053324
7511056135223
oct114064404124
928325023847
1010214312020
114371792890
121b90904244
13c6a215c13
146cc7cccba
153ebae2c4a
hex260d20854

10214312020 has 96 divisors (see below), whose sum is σ = 24170420736. Its totient is φ = 3593654400.

The previous prime is 10214311997. The next prime is 10214312021. The reversal of 10214312020 is 2021341201.

It is a junction number, because it is equal to n+sod(n) for n = 10214311985 and 10214312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007175 + ... + 1017265.

It is an arithmetic number, because the mean of its divisors is an integer number (251775216).

Almost surely, 210214312020 is an apocalyptic number.

10214312020 is a gapful number since it is divisible by the number (10) 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 10214312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085210368).

10214312020 is an abundant number, since it is smaller than the sum of its proper divisors (13956108716).

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

10214312020 is a wasteful number, since it uses less digits than its factorization.

10214312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10214312020 its reverse (2021341201), we get a palindrome (12235653221).

The spelling of 10214312020 in words is "ten billion, two hundred fourteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 107 110 172 214 215 220 428 430 473 535 860 946 1070 1177 1892 2140 2354 2365 4601 4708 4730 5885 9202 9460 10091 11770 18404 20182 23005 23540 40364 46010 50455 50611 92020 100910 101222 111001 201820 202444 222002 253055 433913 444004 506110 555005 867826 1012220 1079737 1110010 1735652 2159474 2169565 2220020 4318948 4339130 4773043 5398685 8678260 9546086 10797370 11877107 19092172 21594740 23754214 23865215 46428691 47508428 47730430 59385535 92857382 95460860 118771070 185714764 232143455 237542140 464286910 510715601 928573820 1021431202 2042862404 2553578005 5107156010 10214312020