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10220112020 = 2251761571863
BaseRepresentation
bin10011000010010101…
…01000100010010100
3222101020221111001102
421201022220202110
5131412322041040
64410044245232
7511156342646
oct114112504224
928336844042
1010220112020
114374a94478
121b92840818
13c6b496b81
146cd49c896
153ec38b515
hex2612a8894

10220112020 has 96 divisors (see below), whose sum is σ = 23164517376. Its totient is φ = 3773491200.

The previous prime is 10220111981. The next prime is 10220112047. The reversal of 10220112020 is 2021102201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220111992 and 10220112010.

It is a congruent number.

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, 11842109 + ... + 11842971.

It is an arithmetic number, because the mean of its divisors is an integer number (241297056).

Almost surely, 210220112020 is an apocalyptic number.

10220112020 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 10220112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

10220112020 is an abundant number, since it is smaller than the sum of its proper divisors (12944405356).

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

10220112020 is a wasteful number, since it uses less digits than its factorization.

10220112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220112020 its reverse (2021102201), we get a palindrome (12241214221).

The spelling of 10220112020 in words is "ten billion, two hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 571 610 863 1037 1142 1220 1726 2074 2284 2855 3452 4148 4315 5185 5710 8630 9707 10370 11420 14671 17260 19414 20740 29342 34831 38828 48535 52643 58684 69662 73355 97070 105286 139324 146710 174155 194140 210572 263215 293420 348310 492773 526430 592127 696620 894931 985546 1052860 1184254 1789862 1971092 2368508 2463865 2960635 3579724 4474655 4927730 5921270 8377141 8949310 9855460 11842540 16754282 17898620 30059153 33508564 41885705 60118306 83771410 120236612 150295765 167542820 300591530 511005601 601183060 1022011202 2044022404 2555028005 5110056010 10220112020