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2000110202000 = 24531961218599
BaseRepresentation
bin11101000110101111110…
…110111010110010010000
321002012122010012200200122
4131012233312322302100
5230232211202431000
64130500555005412
7264334411130501
oct35065766726220
97065563180618
102000110202000
11701273080219
12283774a39868
131167c033a661
146cb3d378ba8
15370629ea085
hex1d1afdbac90

2000110202000 has 160 divisors (see below), whose sum is σ = 5092230624000. Its totient is φ = 757724544000.

The previous prime is 2000110201963. The next prime is 2000110202009. The reversal of 2000110202000 is 2020110002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2000110202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232593701 + ... + 232602299.

It is an arithmetic number, because the mean of its divisors is an integer number (31826441400).

Almost surely, 22000110202000 is an apocalyptic number.

2000110202000 is a gapful number since it is divisible by the number (20) 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 2000110202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546115312000).

2000110202000 is an abundant number, since it is smaller than the sum of its proper divisors (3092120422000).

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

2000110202000 is a wasteful number, since it uses less digits than its factorization.

2000110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14746 counting only the distinct ones).

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

Adding to 2000110202000 its reverse (2020110002), we get a palindrome (2002130312002).

The spelling of 2000110202000 in words is "two trillion, one hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 6121 7600 8599 9500 12242 17198 19000 24484 30605 34396 38000 42995 48968 61210 68792 85990 97936 116299 122420 137584 153025 163381 171980 214975 232598 244840 306050 326762 343960 429950 465196 489680 581495 612100 653524 687920 765125 816905 859900 930392 1074875 1162990 1224200 1307048 1530250 1633810 1719800 1860784 2149750 2325980 2448400 2614096 2907475 3060500 3267620 3439600 4084525 4299500 4651960 5814950 6121000 6535240 8169050 8599000 9303920 11629900 12242000 13070480 14537375 16338100 17198000 20422625 23259800 29074750 32676200 40845250 46519600 52634479 58149500 65352400 81690500 105268958 116299000 163381000 210537916 232598000 263172395 326762000 421075832 526344790 842151664 1000055101 1052689580 1315861975 2000110202 2105379160 2631723950 4000220404 4210758320 5000275505 5263447900 6579309875 8000440808 10000551010 10526895800 13158619750 16000881616 20001102020 21053791600 25001377525 26317239500 40002204040 50002755050 52634479000 80004408080 100005510100 105268958000 125006887625 200011020200 250013775250 400022040400 500027550500 1000055101000 2000110202000