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2000100101100 = 2235231474575841
BaseRepresentation
bin11101000110101111010…
…000011000101111101100
321002012121102012111212020
4131012233100120233230
5230232201111213400
64130455554310140
7264334226231013
oct35065720305754
97065542174766
102000100101100
11701268401272
12283771588350
131167bb211baa
146cb3bca9a7a
1537061ba22a0
hex1d1af418bec

2000100101100 has 144 divisors (see below), whose sum is σ = 6100732194816. Its totient is φ = 505172736000.

The previous prime is 2000100101081. The next prime is 2000100101101. The reversal of 2000100101100 is 11010010002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2000100101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850821 + ... + 2725020.

Almost surely, 22000100101100 is an apocalyptic number.

2000100101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000100101100 is an abundant number, since it is smaller than the sum of its proper divisors (4100632093716).

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

2000100101100 is a wasteful number, since it uses less digits than its factorization.

2000100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575936 (or 4575929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2000100101100 its reverse (11010010002), we get a palindrome (2011110111102).

The spelling of 2000100101100 in words is "two trillion, one hundred million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 47 50 60 62 75 93 94 100 124 141 150 155 186 188 235 282 300 310 372 465 470 564 620 705 775 930 940 1175 1410 1457 1550 1860 2325 2350 2820 2914 3100 3525 4371 4650 4700 5828 7050 7285 8742 9300 14100 14570 17484 21855 29140 36425 43710 72850 87420 109275 145700 218550 437100 4575841 9151682 13727523 18303364 22879205 27455046 45758410 54910092 68637615 91516820 114396025 137275230 141851071 215064527 228792050 274550460 283702142 343188075 425553213 430129054 457584100 567404284 645193581 686376150 709255355 851106426 860258108 1075322635 1290387162 1372752300 1418510710 1702212852 2127766065 2150645270 2580774324 2837021420 3225967905 3546276775 4255532130 4301290540 5376613175 6451935810 6667000337 7092553550 8511064260 10638830325 10753226350 12903871620 13334000674 14185107100 16129839525 20001001011 21277660650 21506452700 26668001348 32259679050 33335001685 40002002022 42555321300 64519358100 66670003370 80004004044 100005005055 133340006740 166675008425 200010010110 333350016850 400020020220 500025025275 666700033700 1000050050550 2000100101100