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34542222100 = 2252382190401
BaseRepresentation
bin100000001010111000…
…000111101100010100
310022011022021200201021
4200022320013230110
51031220302101400
623511331410524
72331663020611
oct401270075424
9108138250637
1034542222100
11137162027a1
126840153a44
133346432999
1419597c5508
15d727a771a
hex80ae07b14

34542222100 has 36 divisors (see below), whose sum is σ = 74977068348. Its totient is φ = 13813120000.

The previous prime is 34542222097. The next prime is 34542222101. The reversal of 34542222100 is 122224543.

It can be written as a sum of positive squares in 6 ways, for example, as 70358544 + 34471863556 = 8388^2 + 185666^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542222101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336900 + ... + 427300.

It is an arithmetic number, because the mean of its divisors is an integer number (2082696343).

Almost surely, 234542222100 is an apocalyptic number.

It is an amenable number.

34542222100 is an abundant number, since it is smaller than the sum of its proper divisors (40434846248).

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

34542222100 is a wasteful number, since it uses less digits than its factorization.

34542222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94236 (or 94229 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34542222100 its reverse (122224543), we get a palindrome (34664446643).

The spelling of 34542222100 in words is "thirty-four billion, five hundred forty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3821 7642 15284 19105 38210 76420 90401 95525 180802 191050 361604 382100 452005 904010 1808020 2260025 4520050 9040100 345422221 690844442 1381688884 1727111105 3454222210 6908444420 8635555525 17271111050 34542222100