Search a number
-
+
110010020001200 = 24521126219539213
BaseRepresentation
bin11001000000110110110100…
…001010011111010110110000
3112102111212002102221120201122
4121000312310022133112300
5103404401010110014300
61025545523331121412
732112650564234204
oct3100666412372660
9472455072846648
10110010020001200
1132063a95376420
1210408819143268
13494cb92172757
141d247289ccb04
15cab92e221c85
hex640db429f5b0

110010020001200 has 120 divisors (see below), whose sum is σ = 288436297953456. Its totient is φ = 39988376704000.

The previous prime is 110010020001173. The next prime is 110010020001209. The reversal of 110010020001200 is 2100020010011.

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 (110010020001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6762794 + ... + 16302006.

Almost surely, 2110010020001200 is an apocalyptic number.

110010020001200 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 110010020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144218148976728).

110010020001200 is an abundant number, since it is smaller than the sum of its proper divisors (178426277952256).

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

110010020001200 is a wasteful number, since it uses less digits than its factorization.

110010020001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541863 (or 9541852 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110010020001200 its reverse (2100020010011), we get a palindrome (112110040011211).

The spelling of 110010020001200 in words is "one hundred ten trillion, ten billion, twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2621 4400 5242 10484 13105 20968 26210 28831 41936 52420 57662 65525 104840 115324 131050 144155 209680 230648 262100 288310 461296 524200 576620 720775 1048400 1153240 1441550 2306480 2883100 5766200 9539213 11532400 19078426 38156852 47696065 76313704 95392130 104931343 152627408 190784260 209862686 238480325 381568520 419725372 476960650 524656715 763137040 839450744 953921300 1049313430 1678901488 1907842600 2098626860 2623283575 3815685200 4197253720 5246567150 8394507440 10493134300 20986268600 25002277273 41972537200 50004554546 100009109092 125011386365 200018218184 250022772730 275025050003 400036436368 500045545460 550050100006 625056931825 1000091090920 1100100200012 1250113863650 1375125250015 2000182181840 2200200400024 2500227727300 2750250500030 4400400800048 5000455454600 5500501000060 6875626250075 10000910909200 11001002000120 13751252500150 22002004000240 27502505000300 55005010000600 110010020001200