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101200213233 = 32723435093191
BaseRepresentation
bin101111001000000000…
…0001011010011110001
3100200012211001111021200
41132100000023103301
53124224223310413
6114253555441413
710211556422310
oct1362000132361
9320184044250
10101200213233
1139a11978069
12177438b6269
13970a379ca2
144c80608277
1529747b8573
hex179000b4f1

101200213233 has 96 divisors (see below), whose sum is σ = 178784686080. Its totient is φ = 53904977280.

The previous prime is 101200213211. The next prime is 101200213259. The reversal of 101200213233 is 332312002101.

It is not a de Polignac number, because 101200213233 - 212 = 101200209137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101200213273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31712668 + ... + 31715858.

It is an arithmetic number, because the mean of its divisors is an integer number (1862340480).

Almost surely, 2101200213233 is an apocalyptic number.

It is an amenable number.

101200213233 is a deficient number, since it is larger than the sum of its proper divisors (77584472847).

101200213233 is a wasteful number, since it uses less digits than its factorization.

101200213233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101200213233 its reverse (332312002101), we get a palindrome (433512215334).

The spelling of 101200213233 in words is "one hundred one billion, two hundred million, two hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 23 43 63 69 129 161 207 301 387 483 509 903 989 1449 1527 2709 2967 3191 3563 4581 6923 8901 9573 10689 11707 20769 21887 22337 28719 32067 35121 62307 65661 67011 73393 81949 105363 137213 153209 196983 201033 220179 245847 411639 459627 503401 513751 660537 737541 960491 1234917 1378881 1510203 1541253 1624219 2881473 3155899 3523807 4530609 4623759 4872657 8644419 9467697 10571421 11369533 14617971 22091293 28403091 31714263 34108599 37357037 66273879 69841417 102325797 112071111 198821637 209524251 261499259 336213333 488889919 628572753 784497777 1466669757 1606352591 2353493331 4400009271 4819057773 11244468137 14457173319 33733404411 101200213233