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101242133420 = 2257383835469
BaseRepresentation
bin101111001001010000…
…0000101101110101100
3100200022201221020222012
41132102200011232230
53124320441232140
6114302054140352
710212605635511
oct1362240055654
9320281836865
10101242133420
1139a335aa34a
12177559516b8
139715c6682c
144c85ddb308
1529782e9265
hex1792805bac

101242133420 has 48 divisors (see below), whose sum is σ = 218117823840. Its totient is φ = 39460824576.

The previous prime is 101242133393. The next prime is 101242133437. The reversal of 101242133420 is 24331242101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296555 + ... + 538914.

It is an arithmetic number, because the mean of its divisors is an integer number (4544121330).

Almost surely, 2101242133420 is an apocalyptic number.

101242133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242133420 is an abundant number, since it is smaller than the sum of its proper divisors (116875690420).

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

101242133420 is a wasteful number, since it uses less digits than its factorization.

101242133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835634 (or 835632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101242133420 its reverse (24331242101), we get a palindrome (125573375521).

The spelling of 101242133420 in words is "one hundred one billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 83 146 166 292 332 365 415 730 830 1460 1660 6059 12118 24236 30295 60590 121180 835469 1670938 3341876 4177345 8354690 16709380 60989237 69343927 121978474 138687854 243956948 277375708 304946185 346719635 609892370 693439270 1219784740 1386878540 5062106671 10124213342 20248426684 25310533355 50621066710 101242133420