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120100022200 = 235219154320483
BaseRepresentation
bin110111111011010000…
…1001110011110111000
3102110222222101021011101
41233312201032132320
53431431101202300
6131101224141144
711451122226214
oct1576641163670
9373888337141
10120100022200
1146a303712a4
121b3393077b4
13b42cb37cc2
145b54741944
1531cdb61b6a
hex1bf684e7b8

120100022200 has 96 divisors (see below), whose sum is σ = 294133852800. Its totient is φ = 45479871360.

The previous prime is 120100022197. The next prime is 120100022201. The reversal of 120100022200 is 2220001021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5853159 + ... + 5873641.

It is an arithmetic number, because the mean of its divisors is an integer number (3063894300).

Almost surely, 2120100022200 is an apocalyptic number.

120100022200 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 120100022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147066926400).

120100022200 is an abundant number, since it is smaller than the sum of its proper divisors (174033830600).

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

120100022200 is a wasteful number, since it uses less digits than its factorization.

120100022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22061 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120100022200 its reverse (2220001021), we get a palindrome (122320023221).

The spelling of 120100022200 in words is "one hundred twenty billion, one hundred million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1543 1900 3086 3800 6172 7715 12344 15430 20483 29317 30860 38575 40966 58634 61720 77150 81932 102415 117268 146585 154300 163864 204830 234536 293170 308600 389177 409660 512075 586340 732925 778354 819320 1024150 1172680 1465850 1556708 1945885 2048300 2931700 3113416 3891770 4096600 5863400 7783540 9729425 15567080 19458850 31605269 38917700 63210538 77835400 126421076 158026345 252842152 316052690 600500111 632105380 790131725 1201000222 1264210760 1580263450 2402000444 3002500555 3160526900 4804000888 6005001110 6321053800 12010002220 15012502775 24020004440 30025005550 60050011100 120100022200