Search a number
-
+
34003042102230 = 23517241972755409
BaseRepresentation
bin1111011101100111100110…
…01111101110101111010110
311110101122210110122021011020
413232303303033232233112
513424101212234232410
6200152440520022010
710106432040010125
oct756636317565726
9143348713567136
1034003042102230
11a91a67789a0a3
123992026001906
1315c861c570876
14857a82731abc
153de76cd92a70
hex1eecf33eebd6

34003042102230 has 64 divisors (see below), whose sum is σ = 86411332889280. Its totient is φ = 8533741051904.

The previous prime is 34003042102229. The next prime is 34003042102273. The reversal of 34003042102230 is 3220124030043.

It is a self number, because there is not a number n which added to its sum of digits gives 34003042102230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10962766 + ... + 13718174.

It is an arithmetic number, because the mean of its divisors is an integer number (1350177076395).

Almost surely, 234003042102230 is an apocalyptic number.

34003042102230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34003042102230 is an abundant number, since it is smaller than the sum of its proper divisors (52408290787050).

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

34003042102230 is a wasteful number, since it uses less digits than its factorization.

34003042102230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779633.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34003042102230 its reverse (3220124030043), we get a palindrome (37223166132273).

The spelling of 34003042102230 in words is "thirty-four trillion, three billion, forty-two million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 24197 48394 72591 120985 145182 241970 362955 411349 725910 822698 1234047 2056745 2468094 2755409 4113490 5510818 6170235 8266227 12340470 13777045 16532454 27554090 41331135 46841953 82662270 93683906 140525859 234209765 281051718 468419530 702629295 1405258590 66672631573 133345263146 200017894719 333363157865 400035789438 666726315730 1000089473595 1133434736741 2000178947190 2266869473482 3400304210223 5667173683705 6800608420446 11334347367410 17001521051115 34003042102230