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111102213420 = 2232511199281971
BaseRepresentation
bin110011101111000110…
…1010011110100101100
3101121202220102012221100
41213132031103310230
53310014131312140
6123012322003100
711012134142442
oct1473615236454
9347686365840
10111102213420
11431333373a0
1219647aa6490
13a6279741b3
14553d73ab92
152d53c69530
hex19de353d2c

111102213420 has 144 divisors (see below), whose sum is σ = 369496108800. Its totient is φ = 26798428800.

The previous prime is 111102213419. The next prime is 111102213433. The reversal of 111102213420 is 24312201111.

111102213420 is a `hidden beast` number, since 1 + 11 + 10 + 221 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111102213393 and 111102213402.

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, 253035 + ... + 535005.

It is an arithmetic number, because the mean of its divisors is an integer number (2565945200).

Almost surely, 2111102213420 is an apocalyptic number.

111102213420 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 111102213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184748054400).

111102213420 is an abundant number, since it is smaller than the sum of its proper divisors (258393895380).

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

111102213420 is a wasteful number, since it uses less digits than its factorization.

111102213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282196 (or 282191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111102213420 its reverse (24312201111), we get a palindrome (135414414531).

The spelling of 111102213420 in words is "one hundred eleven billion, one hundred two million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 199 220 330 396 398 495 597 660 796 990 995 1194 1791 1980 1990 2189 2388 2985 3582 3980 4378 5970 6567 7164 8756 8955 10945 11940 13134 17910 19701 21890 26268 32835 35820 39402 43780 65670 78804 98505 131340 197010 281971 394020 563942 845913 1127884 1409855 1691826 2537739 2819710 3101681 3383652 4229565 5075478 5639420 6203362 8459130 9305043 10150956 12406724 12688695 15508405 16918260 18610086 25377390 27915129 31016810 37220172 46525215 50754780 55830258 56112229 62033620 93050430 111660516 112224458 139575645 168336687 186100860 224448916 279151290 280561145 336673374 505010061 558302580 561122290 617234519 673346748 841683435 1010020122 1122244580 1234469038 1683366870 1851703557 2020040244 2468938076 2525050305 3086172595 3366733740 3703407114 5050100610 5555110671 6172345190 7406814228 9258517785 10100201220 11110221342 12344690380 18517035570 22220442684 27775553355 37034071140 55551106710 111102213420