Search a number
-
+
122220110112002 = 275316319925719759
BaseRepresentation
bin11011110010100010010110…
…001111110110010100000010
3121000202010110121122002220222
4123302202112033312110002
5112004423241142041002
61111535050553303042
734513053156602330
oct3362422617662402
9530663417562828
10122220110112002
1135a41291982a71
121185b0ab704a82
1353273cb42c166
1422276b078ab50
15e1e35b3241a2
hex6f28963f6502

122220110112002 has 128 divisors (see below), whose sum is σ = 216713263104000. Its totient is φ = 50619487666176.

The previous prime is 122220110111987. The next prime is 122220110112007. The reversal of 122220110112002 is 200211011022221.

It is not an unprimeable number, because it can be changed into a prime (122220110112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6185531399 + ... + 6185551157.

It is an arithmetic number, because the mean of its divisors is an integer number (1693072368000).

Almost surely, 2122220110112002 is an apocalyptic number.

122220110112002 is a deficient number, since it is larger than the sum of its proper divisors (94493152991998).

122220110112002 is a wasteful number, since it uses less digits than its factorization.

122220110112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20440.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122220110112002 its reverse (200211011022221), we get a palindrome (322431121134223).

The spelling of 122220110112002 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 7 14 53 106 163 199 257 326 371 398 514 742 1141 1393 1799 2282 2786 3598 8639 10547 13621 17278 19759 21094 27242 32437 39518 41891 51143 60473 64874 73829 83782 95347 102286 120946 138313 147658 190694 227059 276626 293237 358001 454118 586474 716002 1047227 1719161 2094454 2220223 2710579 3220717 3438322 3932041 4440446 5078063 5421158 6441434 7330589 7864082 8336309 10156126 12034127 14661178 15541561 16672618 18974053 22545019 24068254 27524287 31083122 35546441 37948106 45090038 55048574 58354163 71092882 116708326 170698001 208398173 269137339 341396002 416796346 441824377 538274678 640922683 827724269 883648754 1010534537 1194886007 1281845366 1458787211 1655448538 1883961373 2021069074 2389772014 2917574422 3092770639 3767922746 4486458781 5794069883 6185541278 7073741759 8972917562 11588139766 14147483518 33968902199 43869386257 53558330461 67937804398 87738772514 107116660922 164717129531 237782315393 307085703799 329434259062 374908313227 475564630786 614171407598 749816626454 1153019906717 2306039813434 8730007865143 17460015730286 61110055056001 122220110112002