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211002330032320 = 2654192715726913
BaseRepresentation
bin101111111110011111001110…
…111011011010100011000000
31000200002121220011122122100011
4233332133032323122203000
5210124030232442013240
62024433044321434304
762305262303454241
oct5776371673324300
91020077804578304
10211002330032320
1161260649536002
121b7b97b949b994
139097585341988
143a167d2804cc8
15195d9c509d6ea
hexbfe7ceeda8c0

211002330032320 has 56 divisors (see below), whose sum is σ = 502461314246304. Its totient is φ = 84398913601536.

The previous prime is 211002330032297. The next prime is 211002330032341. The reversal of 211002330032320 is 23230033200112.

It is a super-2 number, since 2×2110023300323202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211002330032291 and 211002330032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5553184 + ... + 21280096.

It is an arithmetic number, because the mean of its divisors is an integer number (8972523468684).

Almost surely, 2211002330032320 is an apocalyptic number.

211002330032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002330032320 is an abundant number, since it is smaller than the sum of its proper divisors (291458984213984).

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

211002330032320 is a wasteful number, since it uses less digits than its factorization.

211002330032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15768857 (or 15768847 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 211002330032320 its reverse (23230033200112), we get a palindrome (234232363232432).

The spelling of 211002330032320 in words is "two hundred eleven trillion, two billion, three hundred thirty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 41927 83854 167708 209635 335416 419270 670832 838540 1341664 1677080 2683328 3354160 6708320 13416640 15726913 31453826 62907652 78634565 125815304 157269130 251630608 314538260 503261216 629076520 1006522432 1258153040 2516306080 5032612160 659382281351 1318764562702 2637529125404 3296911406755 5275058250808 6593822813510 10550116501616 13187645627020 21100233003232 26375291254040 42200466006464 52750582508080 105501165016160 211002330032320