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101105146252 = 221123101989171
BaseRepresentation
bin101111000101001010…
…1100001100110001100
3100122222012011120220101
41132022111201212030
53124030404140002
6114240322100444
710206323364145
oct1361225414614
9318865146811
10101105146252
1139973245910
1217717aaa724
1396c3772936
144c71b3cacc
15296b28a587
hex178a56198c

101105146252 has 48 divisors (see below), whose sum is σ = 203405416704. Its totient is φ = 43523480000.

The previous prime is 101105146213. The next prime is 101105146313. The reversal of 101105146252 is 252641501101.

It is a self number, because there is not a number n which added to its sum of digits gives 101105146252.

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, 392374 + ... + 596797.

It is an arithmetic number, because the mean of its divisors is an integer number (4237612848).

Almost surely, 2101105146252 is an apocalyptic number.

It is an amenable number.

101105146252 is an abundant number, since it is smaller than the sum of its proper divisors (102300270452).

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

101105146252 is a wasteful number, since it uses less digits than its factorization.

101105146252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989310 (or 989308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 101105146252 its reverse (252641501101), we get a palindrome (353746647353).

The spelling of 101105146252 in words is "one hundred one billion, one hundred five million, one hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 23 44 46 92 101 202 253 404 506 1012 1111 2222 2323 4444 4646 9292 25553 51106 102212 989171 1978342 3956684 10880881 21761762 22750933 43523524 45501866 91003732 99906271 199812542 250260263 399625084 500520526 1001041052 1098968981 2197937962 2297844233 4395875924 4595688466 9191376932 25276286563 50552573126 101105146252