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2022101120 = 275132310567
BaseRepresentation
bin111100010000110…
…1101000010000000
312012220221101021002
41320201231002000
513120124213440
6532352351132
7101052401354
oct17041550200
95186841232
102022101120
11948472556
124852454a8
13262c14c50
141527ad464
15bc7cb115
hex7886d080

2022101120 has 128 divisors (see below), whose sum is σ = 5432797440. Its totient is φ = 714092544.

The previous prime is 2022101119. The next prime is 2022101149. The reversal of 2022101120 is 211012202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186077 + ... + 196643.

It is an arithmetic number, because the mean of its divisors is an integer number (42443730).

Almost surely, 22022101120 is an apocalyptic number.

2022101120 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 2022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716398720).

2022101120 is an abundant number, since it is smaller than the sum of its proper divisors (3410696320).

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

2022101120 is a wasteful number, since it uses less digits than its factorization.

2022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2022101120 is about 44967.7786865218. The cubic root of 2022101120 is about 1264.5450034519.

Adding to 2022101120 its reverse (211012202), we get a palindrome (2233113322).

The spelling of 2022101120 in words is "two billion, twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 260 299 320 368 416 460 520 598 640 736 832 920 1040 1196 1472 1495 1664 1840 2080 2392 2944 2990 3680 4160 4784 5980 7360 8320 9568 10567 11960 14720 19136 21134 23920 38272 42268 47840 52835 84536 95680 105670 137371 169072 191360 211340 243041 274742 338144 422680 486082 549484 676288 686855 845360 972164 1098968 1215205 1352576 1373710 1690720 1944328 2197936 2430410 2747420 3159533 3381440 3888656 4395872 4860820 5494840 6319066 6762880 7777312 8791744 9721640 10989680 12638132 15554624 15797665 17583488 19443280 21979360 25276264 31109248 31595330 38886560 43958720 50552528 63190660 77773120 87917440 101105056 126381320 155546240 202210112 252762640 404420224 505525280 1011050560 2022101120