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1022121210222 = 232773136181649
BaseRepresentation
bin11101101111110110010…
…10111111000101101110
310121201021101101100010100
432313323022333011232
5113221301012211342
62101320032451530
7133563054636210
oct16677312770556
93551241340110
101022121210222
1136452a85a612
121461163a9ba6
1375502279548
143768433a5b0
151b8c3838e4c
hexedfb2bf16e

1022121210222 has 96 divisors (see below), whose sum is σ = 2567554142400. Its totient is φ = 287818997760.

The previous prime is 1022121210203. The next prime is 1022121210223. The reversal of 1022121210222 is 2220121212201.

It is a happy number.

1022121210222 is a `hidden beast` number, since 1 + 0 + 221 + 212 + 10 + 222 = 666.

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 = 1022121210195 and 1022121210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121210223) 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, 12477654 + ... + 12559302.

It is an arithmetic number, because the mean of its divisors is an integer number (26745355650).

Almost surely, 21022121210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283777071200).

1022121210222 is an abundant number, since it is smaller than the sum of its proper divisors (1545432932178).

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

1022121210222 is a wasteful number, since it uses less digits than its factorization.

1022121210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83098 (or 83095 counting only the distinct ones).

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

Adding to 1022121210222 its reverse (2220121212201), we get a palindrome (3242242422423).

The spelling of 1022121210222 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1361 1533 2722 3066 4083 4599 8166 9198 9527 12249 19054 24498 28581 57162 81649 85743 99353 163298 171486 198706 244947 298059 489894 571543 596118 695471 734841 894177 1143086 1390942 1469682 1714629 1788354 2086413 3429258 4172826 5143887 5960377 6259239 10287774 11920754 12518478 17881131 35762262 41722639 53643393 83445278 107286786 111124289 125167917 222248578 250335834 333372867 375503751 666745734 751007502 777870023 1000118601 1555740046 2000237202 2333610069 4667220138 7000830207 8112073097 14001660414 16224146194 24336219291 48672438582 56784511679 73008657873 113569023358 146017315746 170353535037 340707070074 511060605111 1022121210222