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1022221210122 = 2327193128932611
BaseRepresentation
bin11101110000000010010…
…00011101001000001010
310121201112100112212012100
432320001020131020022
5113222002112210442
62101334004054230
7133565410631130
oct16700110351012
93551470485170
101022221210122
11364581250a62
12146143994376
1375519bbcc98
143769372b750
151b8cc4dd84c
hexee0121d20a

1022221210122 has 96 divisors (see below), whose sum is σ = 2546381485440. Its totient is φ = 290315612160.

The previous prime is 1022221210069. The next prime is 1022221210187. The reversal of 1022221210122 is 2210121222201.

It is a happy number.

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 = 1022221210095 and 1022221210104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31329597 + ... + 31362207.

It is an arithmetic number, because the mean of its divisors is an integer number (26524807140).

Almost surely, 21022221210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022221210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273190742720).

1022221210122 is an abundant number, since it is smaller than the sum of its proper divisors (1524160275318).

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

1022221210122 is a wasteful number, since it uses less digits than its factorization.

1022221210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34108 (or 34105 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022221210122 its reverse (2210121222201), we get a palindrome (3232342432323).

The spelling of 1022221210122 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 193 386 579 1158 1289 1351 1737 2578 2702 3474 3867 4053 7734 8106 9023 11601 12159 18046 23202 24318 27069 32611 54138 65222 81207 97833 162414 195666 228277 248777 293499 456554 497554 586998 684831 746331 1369662 1492662 1741439 2054493 2238993 3482878 4108986 4477986 5224317 6293923 10448634 12587846 15672951 18881769 31345902 37763538 42035579 44057461 56645307 84071158 88114922 113290614 126106737 132172383 252213474 264344766 294249053 378320211 396517149 588498106 756640422 793034298 882747159 1765494318 2648241477 5296482954 8112866747 16225733494 24338600241 48677200482 56790067229 73015800723 113580134458 146031601446 170370201687 340740403374 511110605061 1022221210122