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2022221131020 = 22325503177712569
BaseRepresentation
bin11101011011010101110…
…001011010110100001100
321011022201001211021011200
4131123111301122310030
5231113002102143040
64144555012545500
7266046345000426
oct35332561326414
97138631737150
102022221131020
1170a68a122482
12287b05922290
1311890515b7cc
146dc39b53816
1537908c3b630
hex1d6d5c5ad0c

2022221131020 has 144 divisors (see below), whose sum is σ = 6150213800640. Its totient is φ = 537841225728.

The previous prime is 2022221131001. The next prime is 2022221131027. The reversal of 2022221131020 is 201311222202.

It is a super-5 number, since 5×20222211310205 (a number of 63 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022221130984 and 2022221131002.

It is not an unprimeable number, because it can be changed into a prime (2022221131027) 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, 160883296 + ... + 160895864.

It is an arithmetic number, because the mean of its divisors is an integer number (42709818060).

Almost surely, 22022221131020 is an apocalyptic number.

2022221131020 is a gapful number since it is divisible by the number (20) 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 2022221131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075106900320).

2022221131020 is an abundant number, since it is smaller than the sum of its proper divisors (4127992669620).

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

2022221131020 is a wasteful number, since it uses less digits than its factorization.

2022221131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864 (or 14859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2022221131020 its reverse (201311222202), we get a palindrome (2223532353222).

The spelling of 2022221131020 in words is "two trillion, twenty-two billion, two hundred twenty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 1006 1509 1777 2012 2515 3018 3554 4527 5030 5331 6036 7108 7545 8885 9054 10060 10662 12569 15090 15993 17770 18108 21324 22635 25138 26655 30180 31986 35540 37707 45270 50276 53310 62845 63972 75414 79965 90540 106620 113121 125690 150828 159930 188535 226242 251380 319860 377070 452484 565605 754140 893831 1131210 1787662 2262420 2681493 3575324 4469155 5362986 6322207 8044479 8938310 10725972 12644414 13407465 16088958 17876620 18966621 22335113 25288828 26814930 31611035 32177916 37933242 40222395 44670226 53629860 56899863 63222070 67005339 75866484 80444790 89340452 94833105 111675565 113799726 126444140 134010678 160889580 189666210 201016017 223351130 227599452 268021356 284499315 335026695 379332420 402032034 446702260 568998630 670053390 804064068 1005080085 1137997260 1340106780 2010160170 4020320340 11234561839 22469123678 33703685517 44938247356 56172809195 67407371034 101111056551 112345618390 134814742068 168518427585 202222113102 224691236780 337036855170 404444226204 505555282755 674073710340 1011110565510 2022221131020