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102020001121200 = 24352372297747773
BaseRepresentation
bin10111001100100101100001…
…111011010100001110110000
3111101020000110021210121111110
4113030211201323110032300
5101332443430241334300
61000551201433113320
730326462506314111
oct2714454173241660
9441200407717443
10102020001121200
112a563491a82398
12b5381abb58840
1344c05a2388376
141b29b19b9a208
15bbdb9368a550
hex5cc961ed43b0

102020001121200 has 120 divisors (see below), whose sum is σ = 335636612843728. Its totient is φ = 26470054333440.

The previous prime is 102020001121189. The next prime is 102020001121301. The reversal of 102020001121200 is 2121100020201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1148829487 + ... + 1148918286.

Almost surely, 2102020001121200 is an apocalyptic number.

102020001121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020001121200 is an abundant number, since it is smaller than the sum of its proper divisors (233616611722528).

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

102020001121200 is a wasteful number, since it uses less digits than its factorization.

102020001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297747831 (or 2297747820 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102020001121200 its reverse (2121100020201), we get a palindrome (104141101141401).

It can be divided in two parts, 102020001 and 121200, that added together give a palindrome (102141201).

The spelling of 102020001121200 in words is "one hundred two trillion, twenty billion, one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 2297747773 4595495546 6893243319 9190991092 11488738865 13786486638 18381982184 22977477730 27572973276 34466216595 36763964368 45954955460 55145946552 57443694325 68932433190 85016667601 91909910920 110291893104 114887388650 137864866380 170033335202 172331082975 183819821840 229774777300 255050002803 275729732760 340066670404 344662165950 425083338005 459549554600 510100005606 551459465520 680133340808 689324331900 850166676010 919099109200 1020200011212 1275250014015 1360266681616 1378648663800 1700333352020 2040400022424 2125416690025 2550500028030 2757297327600 3400666704040 4080800044848 4250833380050 5101000056060 6376250070075 6801333408080 8501666760100 10202000112120 12752500140150 17003333520200 20404000224240 25505000280300 34006667040400 51010000560600 102020001121200