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220011220100 = 225272192363171
BaseRepresentation
bin1100110011100110110…
…0001100110010000100
3210000212221220222211102
43030321230030302010
512101040333020400
6245023255555232
721616040341400
oct3147154146204
9700787828742
10220011220100
1185340664031
123678138bb18
1317993124b09
14a911a88100
155aca1a99d5
hex3339b0cc84

220011220100 has 108 divisors (see below), whose sum is σ = 584601489360. Its totient is φ = 71462260800.

The previous prime is 220011220073. The next prime is 220011220111. The reversal of 220011220100 is 1022110022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1088486 + ... + 1274685.

Almost surely, 2220011220100 is an apocalyptic number.

220011220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220011220100 is an abundant number, since it is smaller than the sum of its proper divisors (364590269260).

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

220011220100 is a wasteful number, since it uses less digits than its factorization.

220011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363218 (or 2363204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220011220100 its reverse (1022110022), we get a palindrome (221033330122).

The spelling of 220011220100 in words is "two hundred twenty billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1862 1900 2450 2660 3325 3724 4655 4900 6650 9310 13300 18620 23275 46550 93100 2363171 4726342 9452684 11815855 16542197 23631710 33084394 44900249 47263420 59079275 66168788 82710985 89800498 115795379 118158550 165421970 179600996 224501245 231590758 236317100 314301743 330843940 413554925 449002490 463181516 578976895 628603486 827109850 898004980 1122506225 1157953790 1257206972 1571508715 1654219700 2200112201 2245012450 2315907580 2894884475 3143017430 4400224402 4490024900 5789768950 6286034860 7857543575 8800448804 11000561005 11579537900 15715087150 22001122010 31430174300 44002244020 55002805025 110005610050 220011220100