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30202122120203 = 1124171271316403
BaseRepresentation
bin1101101110111111110101…
…10000101010110000001011
310221221021221211010022122002
412313133322300222300023
512424312421230321303
6144122355141421215
76235013512146455
oct667377260526013
9127837854108562
1030202122120203
119694714629600
12347945970a80b
1313b10812c2747
14765b0d2352d5
1537595e6d4788
hex1b77fac2ac0b

30202122120203 has 48 divisors (see below), whose sum is σ = 34613402858496. Its totient is φ = 26311990320000.

The previous prime is 30202122120199. The next prime is 30202122120223.

It is a happy number.

30202122120203 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30202122120203 - 22 = 30202122120199 is a prime.

It is a super-3 number, since 3×302021221202033 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (30202122120223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95296400 + ... + 95612802.

It is an arithmetic number, because the mean of its divisors is an integer number (721112559552).

Almost surely, 230202122120203 is an apocalyptic number.

30202122120203 is a deficient number, since it is larger than the sum of its proper divisors (4411280738293).

30202122120203 is a wasteful number, since it uses less digits than its factorization.

30202122120203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316808 (or 316797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 3020212 and 2120203, that added together give a palindrome (5140415).

The spelling of 30202122120203 in words is "thirty trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred three".

Divisors: 1 11 41 71 121 271 451 781 2911 2981 4961 8591 11111 19241 32021 32791 122221 211651 316403 352231 788881 1344431 2328161 3480433 8677691 12972523 22464613 38284763 85745213 95454601 142697753 247110743 921049133 943197343 1569675283 2718218173 3515553733 6087910123 10131540463 10375170773 38671091063 66967011353 111446945093 249604315043 425382001693 736637124883 2745647465473 30202122120203