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213141005451 = 331117231835413
BaseRepresentation
bin1100011010000000110…
…0011010010010001011
3202101011011101221002000
43012200030122102023
511443003044133301
6241525435242043
721253555440153
oct3064014322213
9671134357060
10213141005451
11824355a5090
12353845a9323
1317139990a4a
14a45d473763
155826e7a786
hex31a031a48b

213141005451 has 64 divisors (see below), whose sum is σ = 380591447040. Its totient is φ = 116291704320.

The previous prime is 213141005449. The next prime is 213141005453. The reversal of 213141005451 is 154500141312.

213141005451 is a `hidden beast` number, since 2 + 1 + 3 + 14 + 100 + 545 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213141005449) and next prime (213141005453).

It is not a de Polignac number, because 213141005451 - 21 = 213141005449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213141005453) 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, 801580 + ... + 1033833.

It is an arithmetic number, because the mean of its divisors is an integer number (5946741360).

Almost surely, 2213141005451 is an apocalyptic number.

213141005451 is a deficient number, since it is larger than the sum of its proper divisors (167450441589).

213141005451 is a wasteful number, since it uses less digits than its factorization.

213141005451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835473 (or 1835467 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 213141005451 its reverse (154500141312), we get a palindrome (367641146763).

The spelling of 213141005451 in words is "two hundred thirteen billion, one hundred forty-one million, five thousand, four hundred fifty-one".

Divisors: 1 3 9 11 17 23 27 33 51 69 99 153 187 207 253 297 391 459 561 621 759 1173 1683 2277 3519 4301 5049 6831 10557 12903 38709 116127 1835413 5506239 16518717 20189543 31202021 42214499 49556151 60568629 93606063 126643497 181705887 280818189 343222231 379930491 464359489 545117661 717646483 842454567 1029666693 1139791473 1393078467 2152939449 3089000079 4179235401 6458818347 7894111313 9267000237 12537706203 19376455041 23682333939 71047001817 213141005451