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10202220120 = 2335731378501
BaseRepresentation
bin10011000000001100…
…11000011001011000
3222100000021110222110
421200012120121120
5131343232020440
64404204552320
7510551303661
oct114006303130
928300243873
1010202220120
114365983a84
121b888526a0
13c67871151
146cad62368
153eaa05080
hex260198658

10202220120 has 128 divisors (see below), whose sum is σ = 31256072640. Its totient is φ = 2663424000.

The previous prime is 10202220079. The next prime is 10202220121. The reversal of 10202220120 is 2102220201.

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 = 10202220096 and 10202220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202220121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195870 + ... + 1204370.

Almost surely, 210202220120 is an apocalyptic number.

10202220120 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 10202220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628036320).

10202220120 is an abundant number, since it is smaller than the sum of its proper divisors (21053852520).

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

10202220120 is a wasteful number, since it uses less digits than its factorization.

10202220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8721 counting only the distinct ones).

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

Adding to 10202220120 its reverse (2102220201), we get a palindrome (12304440321).

The spelling of 10202220120 in words is "ten billion, two hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 137 146 219 274 292 365 411 438 548 584 685 730 822 876 1095 1096 1370 1460 1644 1752 2055 2190 2740 2920 3288 4110 4380 5480 8220 8501 8760 10001 16440 17002 20002 25503 30003 34004 40004 42505 50005 51006 60006 68008 80008 85010 100010 102012 120012 127515 150015 170020 200020 204024 240024 255030 300030 340040 400040 510060 600060 620573 1020120 1164637 1200120 1241146 1861719 2329274 2482292 3102865 3493911 3723438 4658548 4964584 5823185 6205730 6987822 7446876 9308595 9317096 11646370 12411460 13975644 14893752 17469555 18617190 23292740 24822920 27951288 34939110 37234380 46585480 69878220 74468760 85018501 139756440 170037002 255055503 340074004 425092505 510111006 680148008 850185010 1020222012 1275277515 1700370020 2040444024 2550555030 3400740040 5101110060 10202220120