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10122200110220 = 22511537571146781
BaseRepresentation
bin1001001101001100001000…
…1001000101010010001100
31022211200011112022001011112
42103103002021011102030
52311320231212011340
633310024033311152
72063206361215232
oct223230211052214
938750145261145
1010122200110220
11325288a093550
1211759004054b8
1358569a0b2453
1426dcba740952
1512847d138065
hex934c224548c

10122200110220 has 96 divisors (see below), whose sum is σ = 23657800735296. Its totient is φ = 3606577228800.

The previous prime is 10122200110193. The next prime is 10122200110331. The reversal of 10122200110220 is 2201100222101.

It is a junction number, because it is equal to n+sod(n) for n = 10122200110195 and 10122200110204.

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, 8253230 + ... + 9400010.

It is an arithmetic number, because the mean of its divisors is an integer number (246435424326).

Almost surely, 210122200110220 is an apocalyptic number.

10122200110220 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 10122200110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828900367648).

10122200110220 is an abundant number, since it is smaller than the sum of its proper divisors (13535600625076).

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

10122200110220 is a wasteful number, since it uses less digits than its factorization.

10122200110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147611 (or 1147609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122200110220 its reverse (2201100222101), we get a palindrome (12323300332321).

The spelling of 10122200110220 in words is "ten trillion, one hundred twenty-two billion, two hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 757 1060 1166 1514 2332 2915 3028 3785 5830 7570 8327 11660 15140 16654 33308 40121 41635 80242 83270 160484 166540 200605 401210 441331 802420 882662 1146781 1765324 2206655 2293562 4413310 4587124 5733905 8826620 11467810 12614591 22935620 25229182 50458364 60779393 63072955 121558786 126145910 243117572 252291820 303896965 607793930 668573323 868113217 1215587860 1337146646 1736226434 2674293292 3342866615 3472452868 4340566085 6685733230 8681132170 9549245387 13371466460 17362264340 19098490774 38196981548 46010000501 47746226935 92020001002 95492453870 184040002004 190984907740 230050002505 460100005010 506110005511 920200010020 1012220011022 2024440022044 2530550027555 5061100055110 10122200110220