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101310020140 = 22574370124007
BaseRepresentation
bin101111001011010001…
…1000011101000101100
3100200111110200021001011
41132112203003220230
53124440331121030
6114312521155004
710214361651130
oct1362643035054
9320443607034
10101310020140
1139a6895767a
121777462ba64
1397270454a4
144c9102d3c0
15297e258b2a
hex17968c3a2c

101310020140 has 96 divisors (see below), whose sum is σ = 249163858944. Its totient is φ = 33877267200.

The previous prime is 101310020131. The next prime is 101310020153. The reversal of 101310020140 is 41020013101.

It is a self number, because there is not a number n which added to its sum of digits gives 101310020140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208017 + ... + 4232023.

It is an arithmetic number, because the mean of its divisors is an integer number (2595456864).

Almost surely, 2101310020140 is an apocalyptic number.

101310020140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101310020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124581929472).

101310020140 is an abundant number, since it is smaller than the sum of its proper divisors (147853838804).

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

101310020140 is a wasteful number, since it uses less digits than its factorization.

101310020140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24767 (or 24765 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101310020140 its reverse (41020013101), we get a palindrome (142330033241).

The spelling of 101310020140 in words is "one hundred one billion, three hundred ten million, twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 701 860 1204 1402 1505 2804 3010 3505 4907 6020 7010 9814 14020 19628 24007 24535 30143 48014 49070 60286 96028 98140 120035 120572 150715 168049 211001 240070 301430 336098 422002 480140 602860 672196 840245 844004 1032301 1055005 1680490 2064602 2110010 3360980 4129204 4220020 5161505 7226107 10323010 14452214 16828907 20646020 28904428 33657814 36130535 67315628 72261070 84144535 117802349 144522140 168289070 235604698 336578140 471209396 589011745 723643001 1178023490 1447286002 2356046980 2894572004 3618215005 5065501007 7236430010 10131002014 14472860020 20262004028 25327505035 50655010070 101310020140