Search a number
-
+
101110020200020 = 225131742435391367
BaseRepresentation
bin10110111111010110000010…
…110101100101011001010100
3111021000000122011011012100201
4112333112002311211121110
5101223041310132400040
6555013145123550244
730203646362153026
oct2677260265453124
9437000564135321
10101110020200020
112a242578519807
12b40b97122b384
134455831b61b50
141ad7a72dba016
15ba5184cbda9a
hex5bf582d65654

101110020200020 has 96 divisors (see below), whose sum is σ = 242172141942528. Its totient is φ = 35128588142592.

The previous prime is 101110020199961. The next prime is 101110020200027. The reversal of 101110020200020 is 20002020011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16058377 + ... + 21449743.

It is an arithmetic number, because the mean of its divisors is an integer number (2522626478568).

Almost surely, 2101110020200020 is an apocalyptic number.

101110020200020 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 101110020200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086070971264).

101110020200020 is an abundant number, since it is smaller than the sum of its proper divisors (141062121742508).

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

101110020200020 is a wasteful number, since it uses less digits than its factorization.

101110020200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395649 (or 5395647 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110020200020 its reverse (20002020011101), we get a palindrome (121112040211121).

The spelling of 101110020200020 in words is "one hundred one trillion, one hundred ten billion, twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4243 4420 8486 16972 21215 42430 55159 72131 84860 110318 144262 220636 275795 288524 360655 551590 721310 937703 1103180 1442620 1875406 3750812 4688515 5391367 9377030 10782734 18754060 21565468 26956835 53913670 70087771 91653239 107827340 140175542 183306478 280351084 350438855 366612956 458266195 700877710 916532390 1191492107 1401755420 1833064780 2382984214 4765968428 5957460535 11914921070 22875570181 23829842140 45751140362 91502280724 114377850905 228755701810 297382412353 388884693077 457511403620 594764824706 777769386154 1189529649412 1486912061765 1555538772308 1944423465385 2973824123530 3888846930770 5055501010001 5947648247060 7777693861540 10111002020002 20222004040004 25277505050005 50555010100010 101110020200020