Search a number
-
+
10112000222200 = 23521373413108131
BaseRepresentation
bin1001001100100110001000…
…1011100110001111111000
31022210200211200102001020011
42103021202023212033320
52311133334024102300
633301215550311304
72062365535463332
oct223114213461770
938720750361204
1010112000222200
113249525562728
1211739344b8534
13584732b79956
1426d5cdc28452
15128082943eba
hex932622e63f8

10112000222200 has 96 divisors (see below), whose sum is σ = 23689167122160. Its totient is φ = 4014062412800.

The previous prime is 10112000222189. The next prime is 10112000222213. The reversal of 10112000222200 is 222200021101.

It is a happy number.

It is a super-3 number, since 3×101120002222003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93462135 + ... + 93570265.

Almost surely, 210112000222200 is an apocalyptic number.

10112000222200 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 10112000222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844583561080).

10112000222200 is an abundant number, since it is smaller than the sum of its proper divisors (13577166899960).

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

10112000222200 is a wasteful number, since it uses less digits than its factorization.

10112000222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111697 (or 111688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10112000222200 its reverse (222200021101), we get a palindrome (10334200243301).

The spelling of 10112000222200 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3413 3425 5480 6826 6850 13652 13700 17065 27304 27400 34130 68260 85325 108131 136520 170650 216262 341300 432524 467581 540655 682600 865048 935162 1081310 1870324 2162620 2337905 2703275 3740648 4325240 4675810 5406550 9351620 10813100 11689525 14813947 18703240 21626200 23379050 29627894 46758100 59255788 74069735 93516200 118511576 148139470 296278940 369051103 370348675 592557880 738102206 740697350 1476204412 1481394700 1845255515 2952408824 2962789400 3690511030 7381022060 9226277575 14762044120 18452555150 36905110300 50560001111 73810220600 101120002222 202240004444 252800005555 404480008888 505600011110 1011200022220 1264000027775 2022400044440 2528000055550 5056000111100 10112000222200