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213303423042 = 2323110927112941
BaseRepresentation
bin1100011010100111011…
…1111111000001000010
3202101120111000121010100
43012221313333001002
511443321134014132
6241553520343230
721260600115633
oct3065167770102
9671514017110
10213303423042
11825092488a6
123540aa74b16
1317164519a28
14a476c7188a
15583635e37c
hex31a9dff042

213303423042 has 96 divisors (see below), whose sum is σ = 483256350720. Its totient is φ = 67919472000.

The previous prime is 213303423007. The next prime is 213303423059. The reversal of 213303423042 is 240324303312.

213303423042 is a `hidden beast` number, since 2 + 13 + 3 + 0 + 342 + 304 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213303422997 and 213303423015.

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, 16476292 + ... + 16489232.

It is an arithmetic number, because the mean of its divisors is an integer number (5033920320).

Almost surely, 2213303423042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213303423042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241628175360).

213303423042 is an abundant number, since it is smaller than the sum of its proper divisors (269952927678).

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

213303423042 is a wasteful number, since it uses less digits than its factorization.

213303423042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 213303423042 its reverse (240324303312), we get a palindrome (453627726354).

The spelling of 213303423042 in words is "two hundred thirteen billion, three hundred three million, four hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 218 271 279 327 542 558 654 813 981 1626 1962 2439 3379 4878 6758 8401 10137 12941 16802 20274 25203 25882 29539 30411 38823 50406 59078 60822 75609 77646 88617 116469 151218 177234 232938 265851 401171 531702 802342 915709 1203513 1410569 1831418 2407026 2747127 2821138 3507011 3610539 4231707 5494254 7014022 7221078 8241381 8463414 10521033 12695121 16482762 21042066 25390242 31563099 43727639 63126198 87455278 108717341 131182917 217434682 262365834 326152023 382264199 393548751 652304046 764528398 787097502 978456069 1146792597 1956912138 2293585194 3440377791 6880755582 11850190169 23700380338 35550570507 71101141014 106651711521 213303423042