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10220200020 = 2232573839371
BaseRepresentation
bin10011000010010101…
…11110000001010100
3222101021002221202200
421201022332001110
5131412332400040
64410050204500
7511160160342
oct114112760124
928337087680
1010220200020
1143750445a8
121b92883730
13c6b4c7c44
146cd4c2992
153ec3a7630
hex2612be054

10220200020 has 144 divisors (see below), whose sum is σ = 31807968192. Its totient is φ = 2655383040.

The previous prime is 10220200013. The next prime is 10220200021. The reversal of 10220200020 is 2000202201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10220199975 and 10220200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220200021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085935 + ... + 1095305.

It is an arithmetic number, because the mean of its divisors is an integer number (220888668).

Almost surely, 210220200020 is an apocalyptic number.

10220200020 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 10220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903984096).

10220200020 is an abundant number, since it is smaller than the sum of its proper divisors (21587768172).

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

10220200020 is a wasteful number, since it uses less digits than its factorization.

10220200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10220200020 its reverse (2000202201), we get a palindrome (12220402221).

The spelling of 10220200020 in words is "ten billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 83 90 146 166 180 219 249 292 332 365 415 438 498 657 730 747 830 876 996 1095 1245 1314 1460 1494 1660 2190 2490 2628 2988 3285 3735 4380 4980 6059 6570 7470 9371 12118 13140 14940 18177 18742 24236 28113 30295 36354 37484 46855 54531 56226 60590 72708 84339 90885 93710 109062 112452 121180 140565 168678 181770 187420 218124 272655 281130 337356 363540 421695 545310 562260 684083 777793 843390 1090620 1368166 1555586 1686780 2052249 2333379 2736332 3111172 3420415 3888965 4104498 4666758 6156747 6840830 7000137 7777930 8208996 9333516 10261245 11666895 12313494 13681660 14000274 15555860 20522490 23333790 24626988 28000548 30783735 35000685 41044980 46667580 56778889 61567470 70001370 113557778 123134940 140002740 170336667 227115556 283894445 340673334 511010001 567788890 681346668 851683335 1022020002 1135577780 1703366670 2044040004 2555050005 3406733340 5110100010 10220200020