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202120432122 = 237247131111659
BaseRepresentation
bin1011110000111101010…
…0010000100111111010
3201022201010020210112110
42330033110100213322
511302420312311442
6232504114153150
720413506216600
oct2741724204772
9638633223473
10202120432122
117879a795244
12332098827b6
13160a171203b
149ad5969870
1553ce6c569c
hex2f0f5109fa

202120432122 has 96 divisors (see below), whose sum is σ = 483914787840. Its totient is φ = 56088046560.

The previous prime is 202120432103. The next prime is 202120432133. The reversal of 202120432122 is 221234021202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754329 + ... + 1865987.

It is an arithmetic number, because the mean of its divisors is an integer number (5040779040).

Almost surely, 2202120432122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202120432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241957393920).

202120432122 is an abundant number, since it is smaller than the sum of its proper divisors (281794355718).

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

202120432122 is a wasteful number, since it uses less digits than its factorization.

202120432122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111856 (or 111849 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202120432122 its reverse (221234021202), we get a palindrome (423354453324).

The spelling of 202120432122 in words is "two hundred two billion, one hundred twenty million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 131 141 147 262 282 294 329 393 658 786 917 987 1834 1974 2303 2751 4606 5502 6157 6419 6909 12314 12838 13818 18471 19257 36942 38514 43099 86198 111659 129297 223318 258594 301693 334977 603386 669954 781613 905079 1563226 1810158 2344839 4689678 5247973 5471291 10495946 10942582 14627329 15743919 16413873 29254658 31487838 32827746 36735811 43881987 73471622 87763974 102391303 110207433 204782606 220414866 257150677 307173909 514301354 614347818 687484463 716739121 771452031 1374968926 1433478242 1542904062 2062453389 2150217363 4124906778 4300434726 4812391241 9624782482 14437173723 28874347446 33686738687 67373477374 101060216061 202120432122