Search a number
-
+
102222221000 = 2353315635857
BaseRepresentation
bin101111100110011101…
…0110100111011001000
3100202212001010212101012
41133030322310323020
53133322342033000
6114543224543052
710246106353634
oct1371472647310
9322761125335
10102222221000
113a396862689
121798a021a88
139841021403
144d3a243dc4
1529d4395735
hex17cceb4ec8

102222221000 has 128 divisors (see below), whose sum is σ = 247396930560. Its totient is φ = 39492864000.

The previous prime is 102222220987. The next prime is 102222221021. The reversal of 102222221000 is 122222201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17450072 + ... + 17455928.

It is an arithmetic number, because the mean of its divisors is an integer number (1932788520).

Almost surely, 2102222221000 is an apocalyptic number.

102222221000 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 102222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123698465280).

102222221000 is an abundant number, since it is smaller than the sum of its proper divisors (145174709560).

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

102222221000 is a wasteful number, since it uses less digits than its factorization.

102222221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102222221000 its reverse (122222201), we get a palindrome (102344443201).

The spelling of 102222221000 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 563 620 775 1000 1126 1240 1550 2252 2815 3100 3875 4504 5630 5857 6200 7750 11260 11714 14075 15500 17453 22520 23428 28150 29285 31000 34906 46856 56300 58570 69812 70375 87265 112600 117140 139624 140750 146425 174530 181567 234280 281500 292850 349060 363134 436325 563000 585700 698120 726268 732125 872650 907835 1171400 1452536 1464250 1745300 1815670 2181625 2928500 3297491 3490600 3631340 4363250 4539175 5857000 6594982 7262680 8726500 9078350 13189964 16487455 17453000 18156700 22695875 26379928 32974910 36313400 45391750 65949820 82437275 90783500 102222221 131899640 164874550 181567000 204444442 329749100 408888884 412186375 511111105 659498200 817777768 824372750 1022222210 1648745500 2044444420 2555555525 3297491000 4088888840 5111111050 10222222100 12777777625 20444444200 25555555250 51111110500 102222221000