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1201222220100 = 2235274911164991
BaseRepresentation
bin10001011110101110011…
…011000111100101000100
311020211120020112022202120
4101132232123013211010
5124140100342020400
62315500041005540
7152533256254650
oct21365633074504
94224506468676
101201222220100
1142348769a151
1217497aa838b0
138937588bc76
14421d499da60
15213a7164ca0
hex117ae6c7944

1201222220100 has 144 divisors (see below), whose sum is σ = 3980134588416. Its totient is φ = 274005648000.

The previous prime is 1201222220087. The next prime is 1201222220101. The reversal of 1201222220100 is 10222221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201222220100.

It is not an unprimeable number, because it can be changed into a prime (1201222220101) 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, 448605 + ... + 1613595.

Almost surely, 21201222220100 is an apocalyptic number.

1201222220100 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 1201222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990067294208).

1201222220100 is an abundant number, since it is smaller than the sum of its proper divisors (2778912368316).

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

1201222220100 is a wasteful number, since it uses less digits than its factorization.

1201222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165506 (or 1165499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1201222220100 its reverse (10222221021), we get a palindrome (1211444441121).

The spelling of 1201222220100 in words is "one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 491 525 700 982 1050 1473 1964 2100 2455 2946 3437 4910 5892 6874 7365 9820 10311 12275 13748 14730 17185 20622 24550 29460 34370 36825 41244 49100 51555 68740 73650 85925 103110 147300 171850 206220 257775 343700 515550 1031100 1164991 2329982 3494973 4659964 5824955 6989946 8154937 11649910 13979892 16309874 17474865 23299820 24464811 29124775 32619748 34949730 40774685 48929622 58249550 69899460 81549370 87374325 97859244 116499100 122324055 163098740 174748650 203873425 244648110 349497300 407746850 489296220 572010581 611620275 815493700 1144021162 1223240550 1716031743 2288042324 2446481100 2860052905 3432063486 4004074067 5720105810 6864126972 8008148134 8580158715 11440211620 12012222201 14300264525 16016296268 17160317430 20020370335 24024444402 28600529050 34320634860 40040740670 42900793575 48048888804 57201058100 60061111005 80081481340 85801587150 100101851675 120122222010 171603174300 200203703350 240244444020 300305555025 400407406700 600611110050 1201222220100