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120202020213 = 31131378338261
BaseRepresentation
bin110111111110010011…
…0010100010101110101
3102111021002022022010120
41233330212110111311
53432133204121323
6131115310242153
711453501212422
oct1577446242565
9374232268116
10120202020213
1146a829a7980
121b3674b6359
13b447ccb062
145b640d2d49
1531d7aad5e3
hex1bfc994575

120202020213 has 64 divisors (see below), whose sum is σ = 187595218944. Its totient is φ = 67766112000.

The previous prime is 120202020199. The next prime is 120202020227. The reversal of 120202020213 is 312020202021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120202020199) and next prime (120202020227).

It is not a de Polignac number, because 120202020213 - 212 = 120202016117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120202020192 and 120202020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202020013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3122503 + ... + 3160763.

It is an arithmetic number, because the mean of its divisors is an integer number (2931175296).

Almost surely, 2120202020213 is an apocalyptic number.

It is an amenable number.

120202020213 is a deficient number, since it is larger than the sum of its proper divisors (67393198731).

120202020213 is a wasteful number, since it uses less digits than its factorization.

120202020213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38426.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120202020213 its reverse (312020202021), we get a palindrome (432222222234).

It can be divided in two parts, 12020202021 and 3, that multiplied together give a palindrome (36060606063).

The spelling of 120202020213 in words is "one hundred twenty billion, two hundred two million, twenty thousand, two hundred thirteen".

Divisors: 1 3 11 31 33 37 83 93 111 249 341 407 913 1023 1147 1221 2573 2739 3071 3441 7719 9213 12617 28303 33781 37851 38261 84909 95201 101343 114783 285603 420871 1047211 1186091 1262613 1415657 3141633 3175663 3558273 4246971 9526989 13047001 15572227 34932293 39141003 43885367 46716681 98445553 104796879 117499531 131656101 295336659 352498593 482739037 1082901083 1292494841 1448217111 3248703249 3642485461 3877484523 10927456383 40067340071 120202020213