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2022200101120 = 2858361331051
BaseRepresentation
bin11101011011010100100…
…001001100100100000000
321011022122121020211120111
4131123110201030210000
5231112431211213440
64144552542121104
7266046001151653
oct35332441144400
97138577224514
102022200101120
1170a6792693a1
12287aba880194
131189009a7694
146dc3703b89a
1537906e854ea
hex1d6d484c900

2022200101120 has 144 divisors (see below), whose sum is σ = 4910315360832. Its totient is φ = 797805158400.

The previous prime is 2022200101109. The next prime is 2022200101123. The reversal of 2022200101120 is 211010022202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2022200101120.

It is not an unprimeable number, because it can be changed into a prime (2022200101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65109595 + ... + 65140645.

It is an arithmetic number, because the mean of its divisors is an integer number (34099412228).

Almost surely, 22022200101120 is an apocalyptic number.

2022200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455157680416).

2022200101120 is an abundant number, since it is smaller than the sum of its proper divisors (2888115259712).

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

2022200101120 is an equidigital number, since it uses as much as digits as its factorization.

2022200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31768 (or 31754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2022200101120 its reverse (211010022202), we get a palindrome (2233210123322).

The spelling of 2022200101120 in words is "two trillion, twenty-two billion, two hundred million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 613 640 664 830 1226 1280 1328 1660 2452 2656 3065 3320 4904 5312 6130 6640 9808 10624 12260 13280 19616 21248 24520 26560 31051 39232 49040 50879 53120 62102 78464 98080 101758 106240 124204 155255 156928 196160 203516 248408 254395 310510 392320 407032 496816 508790 621020 784640 814064 993632 1017580 1242040 1628128 1987264 2035160 2484080 2577233 3256256 3974528 4070320 4968160 5154466 6512512 7949056 8140640 9936320 10308932 12886165 13025024 16281280 19034263 19872640 20617864 25772330 32562560 38068526 39745280 41235728 51544660 65125120 76137052 82471456 95171315 103089320 152274104 164942912 190342630 206178640 304548208 329885824 380685260 412357280 609096416 659771648 761370520 824714560 1218192832 1522741040 1579843829 1649429120 2436385664 3045482080 3159687658 3298858240 4872771328 6090964160 6319375316 7899219145 12181928320 12638750632 15798438290 24363856640 25277501264 31596876580 50555002528 63193753160 101110005056 126387506320 202220010112 252775012640 404440020224 505550025280 1011100050560 2022200101120