Search a number
-
+
10022122111212 = 22322931309668833
BaseRepresentation
bin1001000111010111010100…
…0001110100000011101100
31022111002211220212221101200
42101311311001310003230
52303200301230024322
633152033242405500
72053034346236331
oct221656501640354
938432756787350
1010022122111212
1132143a3723662
12115a430500890
1357910b393363
142691051b8988
15125a721428ac
hex91d750740ec

10022122111212 has 72 divisors (see below), whose sum is σ = 27052669338240. Its totient is φ = 3121461826560.

The previous prime is 10022122111207. The next prime is 10022122111217. The reversal of 10022122111212 is 21211122122001.

10022122111212 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 221 + 11 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (10022122111207) and next prime (10022122111217).

It is a super-2 number, since 2×100221221112122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10022122111217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154802053 + ... + 154866780.

Almost surely, 210022122111212 is an apocalyptic number.

10022122111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022122111212 is an abundant number, since it is smaller than the sum of its proper divisors (17030547227028).

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

10022122111212 is a wasteful number, since it uses less digits than its factorization.

10022122111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309668903 (or 309668898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10022122111212 its reverse (21211122122001), we get a palindrome (31233244233213).

The spelling of 10022122111212 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 309668833 619337666 929006499 1238675332 1858012998 2787019497 3716025996 5574038994 8980396157 9599733823 11148077988 17960792314 19199467646 26941188471 28799201469 35921584628 38398935292 53882376942 57598402938 80823565413 86397604407 107764753884 115196805876 161647130826 172795208814 278392280867 323294261652 345590417628 556784561734 835176842601 1113569123468 1670353685202 2505530527803 3340707370404 5011061055606 10022122111212