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202022021120 = 211538351511
BaseRepresentation
bin1011110000100101110…
…0110110100000000000
3201022110021002000000112
42330021130312200000
511302220114133440
6232450241010452
720411202563213
oct2741134664000
9638407060015
10202022021120
117874a189637
12331a0923a28
131608720688a
149ac686d77a
1553c5c36965
hex2f09736800

202022021120 has 96 divisors (see below), whose sum is σ = 486009538560. Its totient is φ = 80596254720.

The previous prime is 202022021119. The next prime is 202022021171. The reversal of 202022021120 is 21120220202.

It is a junction number, because it is equal to n+sod(n) for n = 202022021095 and 202022021104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3896165 + ... + 3947675.

It is an arithmetic number, because the mean of its divisors is an integer number (5062599360).

Almost surely, 2202022021120 is an apocalyptic number.

202022021120 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 202022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243004769280).

202022021120 is an abundant number, since it is smaller than the sum of its proper divisors (283987517440).

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

202022021120 is an equidigital number, since it uses as much as digits as its factorization.

202022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51921 (or 51901 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202022021120 its reverse (21120220202), we get a palindrome (223142241322).

The spelling of 202022021120 in words is "two hundred two billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 383 512 640 766 1024 1280 1532 1915 2048 2560 3064 3830 5120 6128 7660 10240 12256 15320 24512 30640 49024 51511 61280 98048 103022 122560 196096 206044 245120 257555 392192 412088 490240 515110 784384 824176 980480 1030220 1648352 1960960 2060440 3296704 3921920 4120880 6593408 8241760 13186816 16483520 19728713 26373632 32967040 39457426 52747264 65934080 78914852 98643565 105494528 131868160 157829704 197287130 263736320 315659408 394574260 527472640 631318816 789148520 1262637632 1578297040 2525275264 3156594080 5050550528 6313188160 10101101056 12626376320 20202202112 25252752640 40404404224 50505505280 101011010560 202022021120