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10120022110220 = 22511311712120771
BaseRepresentation
bin1001001101000100000001…
…0100101011000000001100
31022211110112202000011211212
42103101000110223000030
52311301301130011340
633305023551233552
72063101403425061
oct223210024530014
938743482004755
1010120022110220
11325197171a950
1211753b2b188b8
13585410ab4659
1426db5138cc68
151283a1d14a65
hex9344052b00c

10120022110220 has 96 divisors (see below), whose sum is σ = 23262983557632. Its totient is φ = 3667483520000.

The previous prime is 10120022110213. The next prime is 10120022110223. The reversal of 10120022110220 is 2201122002101.

It is a super-2 number, since 2×101200221102202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120022110195 and 10120022110204.

It is not an unprimeable number, because it can be changed into a prime (10120022110223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487208435 + ... + 487229205.

It is an arithmetic number, because the mean of its divisors is an integer number (242322745392).

Almost surely, 210120022110220 is an apocalyptic number.

10120022110220 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 10120022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631491778816).

10120022110220 is an abundant number, since it is smaller than the sum of its proper divisors (13142961447412).

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

10120022110220 is a wasteful number, since it uses less digits than its factorization.

10120022110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28223 (or 28221 counting only the distinct ones).

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

Adding to 10120022110220 its reverse (2201122002101), we get a palindrome (12321144112321).

The spelling of 10120022110220 in words is "ten trillion, one hundred twenty billion, twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 7121 13684 14242 17105 20771 28484 34210 35605 41542 68420 71210 78331 83084 103855 142420 156662 207710 228481 313324 391655 415420 456962 783310 913924 1142405 1566620 2214631 2284810 4429262 4569620 6459781 8858524 11073155 12919562 22146310 24360941 25839124 32298905 44292620 48721882 64597810 71057591 97443764 121804705 129195620 142115182 147910291 243609410 284230364 295820582 355287955 487218820 591641164 710575910 739551455 1421151820 1479102910 1627013201 2958205820 3254026402 6508052804 8135066005 16270132010 32540264020 46000100501 92000201002 184000402004 230000502505 460001005010 506001105511 920002010020 1012002211022 2024004422044 2530005527555 5060011055110 10120022110220