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120021211100213 = 1730725399057493
BaseRepresentation
bin11011010010100010011101…
…101001110011010000110101
3120201221220201120012120100122
4123102202131221303100311
5111212411420020201323
61103132552212221325
734165150332440363
oct3322423551632065
9521856646176318
10120021211100213
11352737897a07a5
1211564ab890a845
1351c7c4a9b4347
14218d0b4134633
15dd20618a0ec8
hex6d289da73435

120021211100213 has 16 divisors (see below), whose sum is σ = 127545456709440. Its totient is φ = 112548830351616.

The previous prime is 120021211100117. The next prime is 120021211100221. The reversal of 120021211100213 is 312001112120021.

It is a happy number.

It is not a de Polignac number, because 120021211100213 - 216 = 120021211034677 is a prime.

It is a super-2 number, since 2×1200212111002132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120021211100191 and 120021211100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021211100233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8722295 + ... + 17779787.

It is an arithmetic number, because the mean of its divisors is an integer number (7971591044340).

Almost surely, 2120021211100213 is an apocalyptic number.

It is an amenable number.

120021211100213 is a deficient number, since it is larger than the sum of its proper divisors (7524245609227).

120021211100213 is a wasteful number, since it uses less digits than its factorization.

120021211100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060356.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 120021211100213 its reverse (312001112120021), we get a palindrome (432022323220234).

The spelling of 120021211100213 in words is "one hundred twenty trillion, twenty-one billion, two hundred eleven million, one hundred thousand, two hundred thirteen".

Divisors: 1 17 307 2539 5219 43163 779473 9057493 13251041 153977381 2780650351 22996974727 47271055967 390948570359 7060071241189 120021211100213