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101434313140 = 225191391920377
BaseRepresentation
bin101111001110111110…
…1001100100110110100
3100200211010112222222121
41132131331030212310
53130214141010030
6114333121205324
710220431302316
oct1363575144664
9320733488877
10101434313140
113a022030866
12177aa190844
139746a13444
144ca37457b6
15298a10b47a
hex179df4c9b4

101434313140 has 48 divisors (see below), whose sum is σ = 225836452800. Its totient is φ = 38161711872.

The previous prime is 101434313131. The next prime is 101434313249. The reversal of 101434313140 is 41313434101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907369 + ... + 1013008.

It is an arithmetic number, because the mean of its divisors is an integer number (4704926100).

Almost surely, 2101434313140 is an apocalyptic number.

101434313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434313140 is an abundant number, since it is smaller than the sum of its proper divisors (124402139660).

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

101434313140 is a wasteful number, since it uses less digits than its factorization.

101434313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920544 (or 1920542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101434313140 its reverse (41313434101), we get a palindrome (142747747241).

The spelling of 101434313140 in words is "one hundred one billion, four hundred thirty-four million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 190 278 380 556 695 1390 2641 2780 5282 10564 13205 26410 52820 1920377 3840754 7681508 9601885 19203770 36487163 38407540 72974326 145948652 182435815 266932403 364871630 533864806 729743260 1067729612 1334662015 2669324030 5071715657 5338648060 10143431314 20286862628 25358578285 50717156570 101434313140