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213031313010 = 235599787931
BaseRepresentation
bin1100011001100110100…
…1111101111001110010
3202100212111222222100000
43012121221331321302
511442242004004020
6241510520210430
721251054166135
oct3063151757162
9670774888300
10213031313010
118238969357a
1235353909a16
1317120035689
14a44ca7c21c
15581c50e090
hex3199a7de72

213031313010 has 96 divisors (see below), whose sum is σ = 574978203072. Its totient is φ = 56750725440.

The previous prime is 213031312997. The next prime is 213031313111. The reversal of 213031313010 is 10313130312.

It is a happy number.

213031313010 is a `hidden beast` number, since 21 + 30 + 313 + 1 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378745 + ... + 2466675.

It is an arithmetic number, because the mean of its divisors is an integer number (5989356282).

Almost surely, 2213031313010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213031313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287489101536).

213031313010 is an abundant number, since it is smaller than the sum of its proper divisors (361946890062).

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

213031313010 is an equidigital number, since it uses as much as digits as its factorization.

213031313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88950 (or 88938 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213031313010 its reverse (10313130312), we get a palindrome (223344443322).

The spelling of 213031313010 in words is "two hundred thirteen billion, thirty-one million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 997 1215 1994 2430 2991 4985 5982 8973 9970 14955 17946 26919 29910 44865 53838 80757 87931 89730 134595 161514 175862 242271 263793 269190 403785 439655 484542 527586 791379 807570 879310 1211355 1318965 1582758 2374137 2422710 2637930 3956895 4748274 7122411 7913790 11870685 14244822 21367233 23741370 35612055 42734466 71224110 87667207 106836165 175334414 213672330 263001621 438336035 526003242 789004863 876672070 1315008105 1578009726 2367014589 2630016210 3945024315 4734029178 7101043767 7890048630 11835072945 14202087534 21303131301 23670145890 35505218835 42606262602 71010437670 106515656505 213031313010