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10222020120 = 23351310164877
BaseRepresentation
bin10011000010100011…
…11010011000011000
3222101101112102110210
421201101322120120
5131413314120440
64410153211120
7511211510634
oct114121723030
928341472423
1010222020120
114376078014
121b93400aa0
13c6b9b4520
146cd837dc4
153ec616a80
hex26147a618

10222020120 has 128 divisors (see below), whose sum is σ = 33352482240. Its totient is φ = 2491238400.

The previous prime is 10222020103. The next prime is 10222020143. The reversal of 10222020120 is 2102022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10222020096 and 10222020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125122 + ... + 189998.

Almost surely, 210222020120 is an apocalyptic number.

10222020120 is a gapful number since it is divisible by the number (10) 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 10222020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676241120).

10222020120 is an abundant number, since it is smaller than the sum of its proper divisors (23130462120).

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

10222020120 is a wasteful number, since it uses less digits than its factorization.

10222020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65005 (or 65001 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222020120 its reverse (2102022201), we get a palindrome (12324042321).

The spelling of 10222020120 in words is "ten billion, two hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 390 404 505 520 606 780 808 1010 1212 1313 1515 1560 2020 2424 2626 3030 3939 4040 5252 6060 6565 7878 10504 12120 13130 15756 19695 26260 31512 39390 52520 64877 78780 129754 157560 194631 259508 324385 389262 519016 648770 778524 843401 973155 1297540 1557048 1686802 1946310 2530203 2595080 3373604 3892620 4217005 5060406 6552577 6747208 7785240 8434010 10120812 12651015 13105154 16868020 19657731 20241624 25302030 26210308 32762885 33736040 39315462 50604060 52420616 65525770 78630924 85183501 98288655 101208120 131051540 157261848 170367002 196577310 255550503 262103080 340734004 393154620 425917505 511101006 681468008 786309240 851835010 1022202012 1277752515 1703670020 2044404024 2555505030 3407340040 5111010060 10222020120