Search a number
-
+
120103101021222 = 233111790591312921
BaseRepresentation
bin11011010011101110101110…
…101011000011110000100110
3120202020202002121112120121000
4123103232232223003300212
5111220232122330134342
61103234334121334130
734204106543332644
oct3323565653036046
9522222077476530
10120103101021222
11352a5491499470
1211578951637346
13520289b5311c7
142193041cb2194
15dd4255c3b44c
hex6d3baeac3c26

120103101021222 has 128 divisors (see below), whose sum is σ = 308320300454400. Its totient is φ = 34250196556800.

The previous prime is 120103101021191. The next prime is 120103101021251. The reversal of 120103101021222 is 222120101301021.

120103101021222 is a `hidden beast` number, since 1 + 20 + 10 + 310 + 102 + 1 + 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 = 120103101021195 and 120103101021204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90821322 + ... + 92134242.

It is an arithmetic number, because the mean of its divisors is an integer number (2408752347300).

Almost surely, 2120103101021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120103101021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154160150227200).

120103101021222 is an abundant number, since it is smaller than the sum of its proper divisors (188217199433178).

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

120103101021222 is a wasteful number, since it uses less digits than its factorization.

120103101021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322019 (or 1322013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120103101021222 its reverse (222120101301021), we get a palindrome (342223202322243).

The spelling of 120103101021222 in words is "one hundred twenty trillion, one hundred three billion, one hundred one million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 9059 10098 18118 27177 54354 81531 99649 154003 163062 199298 244593 298947 308006 462009 489186 597894 896841 924018 1312921 1386027 1694033 1793682 2625842 2690523 2772054 3388066 3938763 4158081 5082099 5381046 7877526 8316162 10164198 11816289 14442131 15246297 22319657 23632578 28884262 30492594 35448867 43326393 44639314 45738891 66958971 70897734 86652786 91477782 129979179 133917942 200876913 245516227 259958358 389937537 401753826 491032454 602630739 736548681 779875074 1205261478 1473097362 2209646043 4419292086 6628938129 11893751339 13257876258 23787502678 35681254017 71362508034 107043762051 130831264729 202193772763 214087524102 261662529458 321131286153 392493794187 404387545526 606581318289 642262572306 784987588374 1177481382561 1213162636578 1819743954867 2224131500393 2354962765122 3532444147683 3639487909734 4448263000786 5459231864601 6672394501179 7064888295366 10918463729202 13344789002358 20017183503537 40034367007074 60051550510611 120103101021222