Search a number
-
+
120102112022022 = 233132081565714533
BaseRepresentation
bin11011010011101101110011…
…101110010100111000000110
3120202020122112200120012202000
4123103231303232110320012
5111220223111134201042
61103234052031530130
734204043204100234
oct3323556356247006
9522218480505660
10120102112022022
11352a50241a9759
1211578716389946
135202771676290
142192d8a7c9954
15dd41e8ece74c
hex6d3b73b94e06

120102112022022 has 128 divisors (see below), whose sum is σ = 287632599246720. Its totient is φ = 36927667445760.

The previous prime is 120102112021891. The next prime is 120102112022029. The reversal of 120102112022022 is 220220211201021.

It is a happy number.

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 = 120102112021986 and 120102112022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102112022029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8264089068 + ... + 8264103600.

It is an arithmetic number, because the mean of its divisors is an integer number (2247129681615).

Almost surely, 2120102112022022 is an apocalyptic number.

120102112022022 is an abundant number, since it is smaller than the sum of its proper divisors (167530487224698).

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

120102112022022 is a wasteful number, since it uses less digits than its factorization.

120102112022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22295 (or 22289 counting only the distinct ones).

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

Adding to 120102112022022 its reverse (220220211201021), we get a palindrome (340322323223043).

The spelling of 120102112022022 in words is "one hundred twenty trillion, one hundred two billion, one hundred twelve million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 2081 4162 5657 6243 11314 12486 14533 16971 18729 27053 29066 33942 37458 43599 50913 54106 56187 73541 81159 87198 101826 112374 130797 147082 152739 162318 188929 220623 243477 261594 305478 377858 392391 441246 486954 566787 661869 730431 784782 1133574 1323738 1460862 1700361 1985607 3400722 3971214 5101083 10202166 11772217 23544434 30243173 35316651 60486346 70633302 82213181 90729519 105949953 153038821 164426362 181459038 211899906 246639543 272188557 306077642 317849859 393161249 459116463 493279086 544377114 635699718 739918629 786322498 816565671 918232926 1068771353 1179483747 1377349389 1479837258 1633131342 2137542706 2219755887 2358967494 2754698778 3206314059 3538451241 4132048167 4439511774 6412628118 7076902482 8264096334 9618942177 10615353723 19237884354 21230707446 28856826531 57713653062 171085629661 342171259322 513256888983 1026513777966 1539770666949 2224113185593 3079541333898 4448226371186 4619312000847 6672339556779 9238624001694 13344679113558 20017018670337 40034037340674 60051056011011 120102112022022