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1022122211022 = 2331183127163243
BaseRepresentation
bin11101101111110110011…
…10110011011011001110
310121201021110021011222000
432313323032303123032
5113221301241223042
62101320110133130
7133563066305043
oct16677316633316
93551243234860
101022122211022
11364530383520
121461167b11a6
1375502539c33
143768451b1ca
151b8c398574c
hexedfb3b36ce

1022122211022 has 128 divisors (see below), whose sum is σ = 2527487262720. Its totient is φ = 303590941920.

The previous prime is 1022122211021. The next prime is 1022122211023. The reversal of 1022122211022 is 2201122212201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022122211021) and next prime (1022122211023).

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 = 1022122210986 and 1022122211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022122211021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6179733 + ... + 6342975.

It is an arithmetic number, because the mean of its divisors is an integer number (19745994240).

Almost surely, 21022122211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022122211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263743631360).

1022122211022 is an abundant number, since it is smaller than the sum of its proper divisors (1505365051698).

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

1022122211022 is a wasteful number, since it uses less digits than its factorization.

1022122211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163475 (or 163469 counting only the distinct ones).

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

Adding to 1022122211022 its reverse (2201122212201), we get a palindrome (3223244423223).

The spelling of 1022122211022 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 127 166 198 249 254 297 381 498 594 747 762 913 1143 1397 1494 1826 2241 2286 2739 2794 3429 4191 4482 5478 6858 8217 8382 10541 12573 16434 21082 24651 25146 31623 37719 49302 63246 75438 94869 115951 163243 189738 231902 284607 326486 347853 489729 569214 695706 979458 1043559 1469187 1795673 2087118 2938374 3130677 3591346 4407561 5387019 6261354 8815122 10774038 13549169 16161057 20731861 27098338 32322114 40647507 41463722 48483171 62195583 81295014 96966342 121942521 124391166 149040859 186586749 228050471 243885042 298081718 365827563 373173498 447122577 456100942 559760247 684151413 731655126 894245154 1119520494 1341367731 1368302826 1720744463 2052454239 2682735462 3441488926 4024103193 4104908478 5162233389 6157362717 8048206386 10324466778 12314725434 15486700167 18928189093 30973400334 37856378186 46460100501 56784567279 92920201002 113569134558 170353701837 340707403674 511061105511 1022122211022