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221110020011100 = 2235211130973511579
BaseRepresentation
bin110010010001100100110000…
…001100101111010001011100
31001222212220121110120122011010
4302101210300030233101130
5212440131310110323400
62102132312500455220
764400446263632343
oct6221446014572134
91058786543518133
10221110020011100
11644a8261a73a90
122097072a3aa510
13964b77c22381c
143c85ad3ddab5a
151a868a43d8450
hexc9193032f45c

221110020011100 has 144 divisors (see below), whose sum is σ = 697910319630720. Its totient is φ = 53601915052800.

The previous prime is 221110020011093. The next prime is 221110020011117. The reversal of 221110020011100 is 1110020011122.

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

It is a congruent number.

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, 431955111 + ... + 432466689.

It is an arithmetic number, because the mean of its divisors is an integer number (4846599441880).

Almost surely, 2221110020011100 is an apocalyptic number.

221110020011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110020011100 is an abundant number, since it is smaller than the sum of its proper divisors (476800299619620).

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

221110020011100 is a wasteful number, since it uses less digits than its factorization.

221110020011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642580 (or 642573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221110020011100 its reverse (1110020011122), we get a palindrome (222220040022222).

The spelling of 221110020011100 in words is "two hundred twenty-one trillion, one hundred ten billion, twenty million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 130973 261946 392919 511579 523892 654865 785838 1023158 1309730 1440703 1534737 1571676 1964595 2046316 2557895 2619460 2881406 3069474 3274325 3929190 4322109 5115790 5627369 5762812 6138948 6548650 7203515 7673685 7858380 8644218 9822975 10231580 11254738 12789475 13097300 14407030 15347370 16882107 17288436 19645950 21610545 22509476 25578950 28136845 28814060 30694740 33764214 36017575 38368425 39291900 43221090 51157900 56273690 67528428 72035150 76736850 84410535 86442180 108052725 112547380 140684225 144070300 153473700 168821070 216105450 281368450 337642140 422052675 432210900 562736900 844105350 1688210700 67003036367 134006072734 201009109101 268012145468 335015181835 402018218202 670030363670 737033400037 804036436404 1005045545505 1340060727340 1474066800074 1675075909175 2010091091010 2211100200111 2948133600148 3350151818350 3685167000185 4020182182020 4422200400222 5025227727525 6700303636700 7370334000370 8844400800444 10050455455050 11055501000555 14740668000740 18425835000925 20100910910100 22111002001110 36851670001850 44222004002220 55277505002775 73703340003700 110555010005550 221110020011100