Search a number
-
+
1020222211212 = 22322337101329717
BaseRepresentation
bin11101101100010011111…
…10111000010010001100
310121112101001002012012200
432312021332320102030
5113203403341224322
62100403354401500
7133465025466021
oct16661176702214
93545331065180
101020222211212
11363745928546
12145886430290
137528ba064a9
1437544053548
151b811c778ac
hexed89fb848c

1020222211212 has 144 divisors (see below), whose sum is σ = 2791123538112. Its totient is φ = 313362086400.

The previous prime is 1020222211201. The next prime is 1020222211231. The reversal of 1020222211212 is 2121122220201.

It is a happy number.

1020222211212 is a `hidden beast` number, since 1 + 0 + 20 + 222 + 211 + 212 = 666.

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

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, 2929378 + ... + 3259094.

It is an arithmetic number, because the mean of its divisors is an integer number (19382802348).

Almost surely, 21020222211212 is an apocalyptic number.

1020222211212 is a gapful number since it is divisible by the number (12) 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 1020222211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395561769056).

1020222211212 is an abundant number, since it is smaller than the sum of its proper divisors (1770901326900).

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

1020222211212 is a wasteful number, since it uses less digits than its factorization.

1020222211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329888 (or 329883 counting only the distinct ones).

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

Adding to 1020222211212 its reverse (2121122220201), we get a palindrome (3141344431413).

The spelling of 1020222211212 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 101 111 138 148 202 207 222 276 303 333 404 414 444 606 666 828 851 909 1212 1332 1702 1818 2323 2553 3404 3636 3737 4646 5106 6969 7474 7659 9292 10212 11211 13938 14948 15318 20907 22422 27876 30636 33633 41814 44844 67266 83628 85951 134532 171902 257853 329717 343804 515706 659434 773559 989151 1031412 1318868 1547118 1978302 2967453 3094236 3956604 5934906 7583491 11869812 12199529 15166982 22750473 24399058 30333964 33301417 36598587 45500946 48798116 66602834 68251419 73197174 91001892 99904251 109795761 133205668 136502838 146394348 199808502 219591522 273005676 280589167 299712753 399617004 439183044 561178334 599425506 765932591 841767501 1122356668 1198851012 1232152429 1531865182 1683535002 2297797773 2464304858 2525302503 3063730364 3367070004 3696457287 4595595546 4928609716 5050605006 6893393319 7392914574 9191191092 10101210012 11089371861 13786786638 14785829148 22178743722 27573573276 28339505867 44357487444 56679011734 85018517601 113358023468 170037035202 255055552803 340074070404 510111105606 1020222211212