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20010333001100 = 225213731671262617
BaseRepresentation
bin1001000110011000001001…
…10010100101010110001100
32121211222011111211100102012
410203030010302211112030
510110322130222013400
6110320341534120352
74133461464051341
oct443140462452614
977758144740365
1020010333001100
116415375346772
1222b21780500b8
13b21c73c84c80
144d27107047c8
1524a7ac0c0d35
hex123304ca558c

20010333001100 has 144 divisors (see below), whose sum is σ = 47687081873088. Its totient is φ = 7243577487360.

The previous prime is 20010333001073. The next prime is 20010333001111. The reversal of 20010333001100 is 110033301002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15216992 + ... + 16479608.

Almost surely, 220010333001100 is an apocalyptic number.

20010333001100 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 20010333001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843540936544).

20010333001100 is an abundant number, since it is smaller than the sum of its proper divisors (27676748871988).

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

20010333001100 is a wasteful number, since it uses less digits than its factorization.

20010333001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262884 (or 1262877 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 20010333001100 its reverse (110033301002), we get a palindrome (20120366302102).

The spelling of 20010333001100 in words is "twenty trillion, ten billion, three hundred thirty-three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 167 260 292 325 334 365 650 668 730 835 949 1300 1460 1670 1825 1898 2171 3340 3650 3796 4175 4342 4745 7300 8350 8684 9490 10855 12191 16700 18980 21710 23725 24382 43420 47450 48764 54275 60955 94900 108550 121910 158483 217100 243820 304775 316966 609550 633932 792415 1219100 1262617 1584830 2525234 3169660 3962075 5050468 6313085 7924150 12626170 15848300 16414021 25252340 31565425 32828042 63130850 65656084 82070105 92171041 126261700 164140210 184342082 210857039 328280420 368684164 410350525 421714078 460855205 820701050 843428156 921710410 1054285195 1198223533 1641402100 1843420820 2108570390 2304276025 2396447066 2741141507 4217140780 4608552050 4792894132 5271425975 5482283014 5991117665 9217104100 10542851950 10964566028 11982235330 13705707535 15392563847 21085703900 23964470660 27411415070 29955588325 30785127694 54822830140 59911176650 61570255388 68528537675 76962819235 119822353300 137057075350 153925638470 200103330011 274114150700 307851276940 384814096175 400206660022 769628192350 800413320044 1000516650055 1539256384700 2001033300110 4002066600220 5002583250275 10005166500550 20010333001100