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101434123230 = 235113746717789
BaseRepresentation
bin101111001110111110…
…0011110001111011110
3100200211010012100110220
41132131330132033132
53130214113420410
6114333113142210
710220426551536
oct1363574361736
9320733170426
10101434123230
113a021a11110
12177aa0ba966
139746977b7b
144ca36d64c6
15298a0c0070
hex179df1e3de

101434123230 has 128 divisors (see below), whose sum is σ = 273350039040. Its totient is φ = 23872919040.

The previous prime is 101434123229. The next prime is 101434123237. The reversal of 101434123230 is 32321434101.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 101434123230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434123237) 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, 5693176 + ... + 5710964.

It is an arithmetic number, because the mean of its divisors is an integer number (2135547180).

Almost surely, 2101434123230 is an apocalyptic number.

101434123230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101434123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136675019520).

101434123230 is an abundant number, since it is smaller than the sum of its proper divisors (171915915810).

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

101434123230 is a wasteful number, since it uses less digits than its factorization.

101434123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101434123230 its reverse (32321434101), we get a palindrome (133755557331).

The spelling of 101434123230 in words is "one hundred one billion, four hundred thirty-four million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 467 555 814 934 1110 1221 1401 2035 2335 2442 2802 4070 4670 5137 6105 7005 10274 12210 14010 15411 17279 17789 25685 30822 34558 35578 51370 51837 53367 77055 86395 88945 103674 106734 154110 172790 177890 190069 195679 259185 266835 380138 391358 518370 533670 570207 587037 658193 950345 978395 1140414 1174074 1316386 1900690 1956790 1974579 2851035 2935185 3290965 3949158 5702070 5870370 6581930 7240123 8307463 9872895 14480246 16614926 19745790 21720369 24922389 36200615 41537315 43440738 49844778 72401230 83074630 91382093 108601845 124611945 182764186 217203690 249223890 274146279 307376131 456910465 548292558 614752262 913820930 922128393 1370731395 1536880655 1844256786 2741462790 3073761310 3381137441 4610641965 6762274882 9221283930 10143412323 16905687205 20286824646 33811374410 50717061615 101434123230